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13 articles for “contractivity conditions”
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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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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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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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Semiring-Weighted Automata and Recursive Path Counting for Multi-State Reliability in Discrete Infrastructures
Abstract: Multi-state infrastructures such as communication backbones, microgrids, warehouse routing systems, and sensor-actuator pipelines evolve through discrete event sequences rather than through a single binary "working/failed" transition. This paper develops a semiring-weighted automata framework for reliability analysis in which state changes, repair actions, and degraded operating modes are represented by weighted transitions on a finite automaton. A path valuation is defined over an additively idempotent reliability semiring and extended to a …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 13, Issue 2, 2026 · pp. 30–36 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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Study of Cost Overrun in Repair & Rehabilitation Projects in India
Abstract: In broad sense, the word "rehabilitation" suggested putting a building back to how it was before. The specialized area of repair and rehabilitation engineering necessitates knowledge and skills that go beyond those needed for design and construction engineering. Repair and rehabilitation projects are significantly more challenging and more complicated than new construction projects. It is vital to take a methodical approach to structural deterioration, and technology management and economics should …
Published in International Journal of Architectural Design and Planning Read article
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Blockchain Infused Decentralized Land Registry System
Abstract: Accurate land measurement and documentation of land ownership and use are critical for effective land administration and management. However, traditional land measurement systems are often inefficient, inaccurate, and lack transparency, which can lead to disputes, fraud, and corruption. To address these issues, we propose a smart contract-based land measurement system that provides a secure, transparent, and efficient way to measure and document land ownership. Our system utilizes smart contracts, which …
Published in Current Trends in Signal Processing · Vol. 14, Issue 2, 2024 · pp. 11–19 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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Geospatial Measurement of Shrinking Lake Mead Using Multi-Temporal Datasets From 1987 to 2020 and Its Relationship with the Climate Change
Abstract: The study provides an overview of the relation between climate change and its harsh consequences, and thereby revealing evidence of extremes conditions such as drought. Lake Mead of USA is one such example which is a readily contracting lake. The reason is fast temperature increment, human exploitation, etc. therefore leading to jeopardized and devastating effects on life structure. GIS and Remote Sensing has emerged as an extraordinary key instrument for …
Published in Research & Reviews : Journal of Space Science & Technology · Vol. 13, Issue 2, 2024 · pp. 18–27 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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An Overview of New Coastal Research Vessel (N-CRV) Dry Dock and Construction
Abstract: A New Coastal Research Vessel (N-CRV) is a specialized ship designed for scientific research in fields like oceanography, geology, biology, and atmospheric studies, equipped with specific facilities and accommodations for sea missions. This paper discusses the coastal research ship dry-dock, construction, and design process, which involves three stages: concept, preliminary, and contract design. N-CRV must utilize scientific cruise, Exclusive Economic Zone (EEZ) survey, deployment, data collection, and seawater sample collection …
Published in Journal of Offshore Structure and Technology · Vol. 11, Issue 3, 2024 · pp. 1–11 Read article
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Solid Lipid Nanoparticles in Medicine: Formulation, Characterization and Future prospects
Abstract: An alternative to conventional colloidal carriers such liposomes, polymeric nanoparticles, and emulsions, solid lipid nanoparticles (SLNs) were created in the early 1990s. Benefits include targeted medicine distribution, controlled drug release, and improved stability. An extensive review of the excipients utilized, the production techniques, including the membrane contractor approach, and the possible advantages and disadvantages of SLNs is given in this work. It investigates secondary stabilization techniques like freeze-drying and spray-drying, …
Published in International Journal of Membranes · Vol. 2, Issue 1, 2025 · pp. 1–15 Read article
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Evaluation of dampness effect on some buildings in Ahmadu Bello University, Zaria, Nigeria
Abstract: Dampness is one of the sources of defect in building. Apart from triggering deterioration of the material and textures, it can also affect in harm to the furnishings and content there by allowing the development of fungi. There are many causes of dampness in building some of which include rain penetration which occurs ingress above the ground at the various points in the external envelope of the construction. i.e through …
Published in Journal of Structural Engineering and Management · Vol. 12, Issue 3, 2025 Read article