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146 articles for “Fixed”
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Intimate Mappings in Interval-Valued Fuzzy Metric Space: A Few Fixed-Point Findings
Abstract: The purpose of this study is to extend some previously established fixed point results for interval valued fuzzy metric space. For this objective, various contractive criteria with respect to an intimate mapping are applied. We employ intimate mapping in interval valued fuzzy metric space (IVFMS) to validate some well-known fixed point results. Our findings complement and generalize the recent findings of the common fixed point theorem for intimate mapping. The …
Published in Recent Trends in Mathematics · Vol. 1, Issue 1, 2024 · pp. 16–23 Read article
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(𝛅,Ü ) Convex Structure on Partial B-Metric Space Concerning Quasi Contraction and Fixed-Point Results
Abstract: This work introduces the concept of (δ,Ü )– Convex Partial b-Metric Spaces using convex structure. Motivated by this approach, we demonstrated fixed point results and their uniqueness, as well as quasi contraction, and provided some supporting instances for the established results. Our findings expand prior fixed-point results to a novel concept (δ,Ü )– Convex Partial b-Metric Spaces. To support our theoretical findings, we provide several instances that exemplify the established …
Published in Recent Trends in Mathematics · Vol. 1, Issue 1, 2024 Read article
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Equivalence Patterns in Racing: Examining Findings and Fixed-point Theorems in S-multiplicative Metric Space Integration
Abstract: The idea of equivalency patterns in racing is discussed in the abstract, along with research results and fixed-point theorems in relation to S-multiplicative metric space integration. Being a competitive activity, racing provides a rich environment for researching equivalency trends between rival enterprises. This article examines the dynamics of racing scenarios by exploring the mathematical structure of S-multiplicative metric spaces. The goal of this research is to identify fundamental properties and …
Published in Journal of Advanced Database Management & Systems · Vol. 11, Issue 2, 2024 · pp. 36–42 Read article
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Study of Proximity Points and Fixed Points
Abstract: This paper explores the concepts of proximity points and fixed points, which are fundamental in mathematical analysis and nonlinear functional analysis. Fixed-point theorems play a crucial role in optimization, game theory, differential equations, and dynamic systems. Proximity points, an extension of fixed points, provide a more generalized approach, allowing near-coincidence rather than exact identity. The study discusses classical fixed-point theorems, such as Banach’s contraction principle, Brouwer’s fixed-point theorem, and Schauder’s …
Published in Recent Trends in Mathematics · Vol. 1, Issue 2, 2024 · pp. 28–31 Read article
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A Study of Fixed-Point and Best Proximity Point
Abstract: Fixed-point theory plays a fundamental role in nonlinear analysis and has significant applications in optimization, differential equations, and applied mathematics. This study investigates the existence and properties of fixed points and best proximity points for various classes of mappings defined on metric and normed spaces. While fixed-point results guarantee the existence of a point that remains invariant under a given mapping, such points may not exist when the mapping is …
Published in Recent Trends in Mathematics · Vol. 3, Issue 1, 2026 · pp. 28–39 Read article
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Comparative Evaluation of Fixed-Point Theorems Investigating Differences Among Conditions in Metric Spaces
Abstract: This paper provides a concise overview of metric spaces, their fundamental properties, and the idea of continuity as it pertains to these spaces, drawing parallels to uniform continuity and convergence. Also included is a review of previous research on metric space, its generalization, and practical outcomes from studies that utilized these spaces in various applications. We introduce a fixed point theorem for mixed monotone mappings in partially ordered metric spaces, …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 11, Issue 1, 2024 Read article
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Can Screw-only fixations of ACPHT acetabular fractures enhance stability as the standard buttress plate fixation provides?
Abstract: Background: Of acetabular fractures, anterior column posterior hemi-transverse(ACPHT) fractures commonly occur after a fall onto the hip in elderly population. When displaced in these fractures, open reduction and internal fixation using plate and screws is usually required to achieve good functional outcomes. The open procedures, however, involve high complication rates due to surgical invasion; therefore, percutaneous techniques by screw-only constructs have been advocated to minimize these complications. The purpose of …
Published in Research and Reviews : Journal of Surgery · Vol. 13, Issue 1, 2024 · pp. 64–73 Read article
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A Journey through Fixed Points and Non-expansive Mappings
Abstract: Fixed points in non-expansive mappings are elements that remain unchanged under the action of the mapping. Non-expansive mappings preserve or contract distances in a metric space. The rigorous proof of the Banach fixed-point theorem is presented at the outset of the paper, highlighting its fundamental significance. According to this theorem, every contraction mapping (a particular kind of non-expansive mapping that strictly reduces distances) has a single fixed point in a …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 11, Issue 1, 2024 Read article
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Toxicology-Focused Development and Validation of an RP-HPLC Technique for Quantifying Bempefoic Acid and Rosuvastatin in a Fixed-Dose Combination
Abstract: A straightforward, precise method was developed to simultaneously assess Bempedoic acid and Rosuvastatin in both bulk and tablet forms. Utilizing a DIKMA Spursil C18 column (4.6 mm x 250 mm, 3.0 μm), chromatography was conducted with a mobile phase comprising 30% phosphate buffer and 70% acetonitrile, flowing at 1 ml/min. Operating at ambient temperature, the optimized wavelength for detection was set at 240 nm, revealing retention times of 4.418 min …
Published in Research and Reviews: A Journal of Toxicology · Vol. 14, Issue 2, 2024 · pp. 1–9 Read article
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Extended Fixed Point Theorems in Menger PM-Type Spaces: Generalized Auxiliary Functions and Contractivity Conditions
Abstract: Background: Fixed point theory in probabilistic metric spaces, particularly Menger spaces, has been a subject of intensive research due to its applications in nonlinear analysis and mathematical modeling. Traditional approaches often impose restrictive constraints on the defining properties of Menger spaces and limit the class of auxiliary functions in contractivity conditions Methods: We extend recent fixed point theorems in Menger spaces by: (1) introducing the notion of Menger PM-type spaces …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 12, Issue 3, 2025 · pp. 1–6 Read article
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Design and Assessment of Fixed Dose Combination Containing Fenofibrate and Pravastatin Sodium in Tablet Formulation: A Bioinformatics Approach
Abstract: The aim of this is study is to formulate and evaluate fixed dose combination of Fenofibrate and Pravastatin sodium in tablet dosage for the treatment of Dyslipidemia. For the formulation and optimization of fenofibrate layer, two factor three level factorial design was used as experimental design for optimization with a minimum of nine run. All the nine trial (F1–F9) has been formulated according to the experimental design by wet granulation …
Published in Research & Reviews: A Journal of Bioinformatics · Vol. 11, Issue 1, 2024 · pp. 1–20 Read article
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The Theoretical and Experimental Study of the Behavior of the Mercury Drop, Fixed on the Glass Bottom of Vessel with Fluid, Under the Acceleration of Gravity Change
Abstract: At present time, accumulated theoretical material of the studies of the equilibrium forms of the gas bubbles or mercury drops, fixed on the surface of solid material in the fluid or on the glass bottom of vessel with fluid, under the acceleration of gravity change, was carried out either on the basis of geometric similarity laws that greatly simplify the essence of physical processes, or on the basis of theoretical …
Published in Recent Trends in Fluid Mechanics Read article
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Advance Fixed Point Theorems and Its Application to Ordinary and Fractional Differential Equations
Abstract: In the present research, advanced results on the fixed point theorem are applied to typical boundary value problems. Finding a differential equation's solution under certain boundary conditions is the goal of typical boundary value topics. The article appears to extend new fixed point results to a new context, likely involving fractional operators with unique kernels, notably the Caputo-type fractional operator. This extension involves applying the fixed point theorem to a …
Published in Recent Trends in Mathematics · Vol. 1, Issue 1, 2024 · pp. 1–15 Read article
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Ramifications of Industrial Pollution: Problems and Ways to Fix Them
Abstract: Pollution from industry is still one of the largest environmental challenges of the 21st century. It hurts the air, water, and land all around the world. This page discusses about the primary kinds of pollutants that arise from factories, such as heavy metals, particles, and toxic chemicals. It studies at how industrial emissions affect people and the environment, such as by causing respiratory problems, harming ecosystems, and changing the climate. …
Published in International Journal of Pollution: Prevention & Control · Vol. 3, Issue 2, 2025 · pp. 1–5 Read article
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Claiming the City: How India’s Urban Spaces Exclude Women and How to Fix Them, A Case Study of New Delhi
Abstract: This paper analyses the layered risks, vulnerabilities, and everyday negotiations faced by women in open public spaces in diverse sites across India, with New Delhi as a representative and highly stratified urban case. It examines how specific Urban design competences, planning attitudes, and governance mechanisms have in the past resulted in exclusionary and not safe environments for women. Based on crime reports, government statistics, academic literature, and field-based observations, the …
Published in International Journal of Urban Design and Development · Vol. 4, Issue 1, 2026 · pp. 25–41 Read article
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Continuous-Time Modelling of the Two-Input Fourth Order DC_DC Converter
Abstract: Two-input fourth-order integrated (TIFOI) converter is designed to process the power from two different sources Vg1 and Vg2. This converter facilitates regulation of dc-bus voltage and LVS current. In the power conversion process it performs bucking operation for first dc source Vg1, buck-boost operation for the second source Vg2. Power stage dynamics of the TIFOI converters is modeled using the state-space analysis. The system modelling plays an important role in …
Published in Journal of Control & Instrumentation Read article
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Ants in Ecosystems and Agriculture: A Comprehensive Review
Abstract: Nearly 60% of the world’s habitats are underutilized. And current agricultural practices are blamed for contributing to soil carbon depletion and biodiversity loss. Climate change, habitat fragmentation, and other challenges hinder species development, leading to projected shifts in species distribution. This calls for alternative management strategies. The organizational structure of social insects, especially ants, offers a model for improved ants account for half of all insect biomass. It plays an …
Published in International Journal of Insects · Vol. 1, Issue 2, 2024 · pp. 15–22 Read article
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Expanding Hicks Contraction Theory, Multi-Valued Mappings in Generalized b-Menger Spaces
Abstract: This paper extends the Hicks contraction theory to multi-valued mappings within generalized b-Manger spaces, a class of metric-like structures that accommodate more flexible distance functions. By introducing new definitions, such as generalized admissibility conditions and weak compatibility in the multivalued sense, we provide a comprehensive analysis of how these contractions behave in broader topological and metric contexts. Our approach systematically generalizes classical contraction principles by relaxing conventional constraints, thereby broadening …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 12, Issue 1, 2025 · pp. 1–05 Read article
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Synthesis and Evaluation of MgO-Supported Activated Carbon for Carbon dioxide Capture
Abstract: Carbon dioxide (CO₂) capture has emerged as a critical strategy for mitigating greenhouse gas emissions and addressing global climate change. In this study, a series of MgO-supported activated carbon adsorbents containing 2, 4, 6, 8, and 10 wt% MgO were successfully synthesized using the impregnation method to evaluate their CO₂ adsorption performance. The structural, chemical, and surface properties of the prepared materials were characterized using powder X-ray diffraction (PXRD), Fourier-transform …
Published in Journal of Catalyst & Catalysis · Vol. 13, Issue 3, 2026 Read article
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Wave plate; what is the angle of its central curved segment which provides biomechanically optimal stability for femoral shaft fracture?:A 3-D Finite Analysis
Abstract: Even though intramedullary nailing of femoral shaft fracture is the standard surgical treatment as it is in tibial fracture, plate fixation might be a choice when the fracture involves open growth plate, patients are of shorter stature or have narrow canals. In these cases, fixation techniques with plate and screws, for example, percutaneous procedures involving wave plate, are useful thanks to minimal invasion and preservation of biological environment surrounding the …
Published in Research and Reviews : Journal of Surgery · Vol. 13, Issue 1, 2024 · pp. 31–43 Read article