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4 articles for “Weakly compatible mapping”
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Common Fixed-Point Theorems Satisfying Integral Type Contractive Conditions
Abstract: In this paper, we establish common fixed-point theorems using a contractive condition of integral type. Also, we prove common fixed-point theorems, from a smaller class of compatible continuous mappings to larger class of weakly compatible mappings without using continuity. In the present paper, we establish common fixed-point result for four mappings satisfying a more general contractive condition of integral type and using the recent concept of weak compatible maps.Keywords: compatible …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 7, Issue 1, 2020 · pp. 16–22 Read article
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Common Fixed Point Theorem for Rational Inequality in Fuzzy Metric Space Under C-Class Function and Implicit Function
Abstract: The purpose of this study is to establish some fixed point results for fuzzy metric space satisfying certain rational inequality under C-Class function along with Implicit function. The idea of C-Class functions in introduced in the process of building a fuzzy metric space that associate with implicit functions. In this way, our results extend and generalize and improve results of fuzzy metric space of previously published.
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 10, Issue 1, 2023 · pp. 8–20 Read article
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Common Fixed-Point Results for Weakly Increasing Dominating Maps on Vector b-Metric Spaces
Abstract: AbstractIn this paper, we consider E-b-metric space, which is a generalized vector metric space. This is a Riesz space valued metric space. Here, we prove some results concerning common fixed point for four mappings on E-b-metric space. This generalizes the results of Rahimi, Abbas and Rad [16]. Keywords: Dominating map, E-b-metric space, Weak annihilators, Weakly compatible, Weakly increasing Cite this ArticleMamta Kamra, Kumari Sarita, Renu Chugh. Common Fixed-Point Results for …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 6, Issue 2, 2019 · pp. 7–23 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