Results 41 to 50 of about 1,527 (116)
Certain Applications of Fixed Point Results in the Setting of Tricomplex Partial Metric Space
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.In this paper, we introduce the notion of tricomplex partial metric space as an extension/generalization of the partial metric spaces and prove some common fixed point theorems. Our results extend and generalize some well‐known results. We have also presented nontrivial examples to the derived results.
Rajagopalan Ramaswamy +2 more
wiley +1 more source
Common fixed points of
Fixed Point Theory and Applications, 2011 In this paper, using the setting of a generalized metric space, a unique common fixed point of four R-weakly commuting maps satisfying a generalized contractive condition is obtained. We also present example in support of our result.
Khan Safeer, Abbas Mujahid, Nazir Talat
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Solving system of linear equations via bicomplex valued metric space
Demonstratio Mathematica, 2021 In this paper, we prove some common fixed point theorems on bicomplex metric space. Our results generalize and expand some of the literature’s well-known results. We also explore some of the applications of our key results.
Gnanaprakasam Arul Joseph +4 more
doaj +1 more source
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.The main focus in this article is to prove the existence and uniqueness of fixed point satisfying Reich graph contraction within the graph structure, in the context of the graphical extended b‐metric spaces. Our findings represent substantial expansions and broader generalizations of certain pioneering results within the current theoretical framework ...
Azham Ilyass +3 more
wiley +1 more source
Stability of common fixed points in uniform spaces
Fixed Point Theory and Applications, 2011 Stability results for a pair of sequences of mappings and their common fixed points in a Hausdorff uniform space using certain new notions of convergence are proved. The results obtained herein extend and unify several known results.
Singh Shyam +2 more
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Fixed Point Theorem for Cyclic (μ, ψ, φ)-Weakly Contractions via a New Function
Annals of the West University of Timisoara: Mathematics and Computer Science, 2017 In this paper, we introduce a generalization of cyclic (μ, ψ, φ)-weakly contraction via a new function and derive the existence of fixed point for such mappings in the setup of complete metric spaces.
Almahalebi Muaadh +2 more
doaj +1 more source
Applications of Asymptotic Fixed Point Theorems in A‐Metric Spaces to Integral Equations
Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this paper, using asymptotically regular sequences and mappings other than Picard operators, the most general forms of Hardy–Rogers and Ćirić fixed point theorems in the framework of A‐metric space are presented. Furthermore, we give some applications to integral equations, which show the effectiveness of fixed point results presented herein.
Ismat Beg +4 more
wiley +1 more source
Fixed Point Theory and Applications, 2011 In this article, we establish coincidence point and common fixed point theorems for mappings satisfying a contractive inequality which involves two generalized altering distance functions in ordered complete metric spaces.
Samet Bessem, Kim Jong, Nashine Hemant
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Fixed Point Results for Nonlinear F‐Contractions in Composed S‐Metric Spaces
Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this paper, we introduce the concept of composed S‐metric space as a new generalization of S‐metric space and Sb‐metric space. We present some examples showing that a composed S‐metric space is a generalization of various types of abstract spaces, and results showing the relation with the Sp‐metric space introduced earlier. We also prove fixed‐point
Chol Jin Kil +3 more
wiley +1 more source
Fixed Point Theory and Applications, 2011 In this paper, we prove a fixed point theorem for generalized weak contractions satisfying rational expressions in partially ordered metric spaces. The result is a generalization of a recent result of Harjani et al. (Abstr. Appl.
Luong Nguyen Van, Thuan Nguyen
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