Results 41 to 50 of about 162 (102)
Journal of Mathematics, Volume 2025, Issue 1, 2025.We introduce the new notion of generalized α − ψ rational type contractions of type I and type II in controlled metric spaces. By making use of these new notions, some fixed point theorems are also proved in the mentioned spaces for the α− admissible self maps.
Manoj Kumar +4 more
wiley +1 more source
Rodé's theorem on common fixed points of semigroup of nonexpansive mappings in CAT(0) spaces
Fixed Point Theory and Applications, 2011 We extend Rodé's theorem on common fixed points of semigroups of nonexpansive mappings in Hilbert spaces to the CAT(0) space setting. 2000 Mathematics Subject Classification: 47H09; 47H10.
Anakkamatee Watcharapong +1 more
doaj
Demonstratio MathematicaThe problem of common solutions for nonlinear equations has significant theoretical and practical value. In this article, we first introduce a new concept of a pair of (α,Θ)\left(\alpha ,\Theta )-type contractions, and then, we present some common fixed ...
Wang Chao
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Generalized implicit viscosity approximation method for multivalued mappings in CAT(0) spaces
Demonstratio Mathematica, 2019 We prove strong convergence of the sequence generated by implicit viscosity approximation method involving a multivalued nonexpansive mapping in framework of CAT(0) space.
Abbas Mujahid +2 more
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An Introduction to C∗‐Algebra‐Valued Metric‐Like Space With Related Applications
Journal of Mathematics, Volume 2025, Issue 1, 2025.It is well‐known that the main objective of metric‐like spaces is to pave way for the development of fixed point results in nonstandard framework, such as in nonsymmetric distance structures, where self‐distances might be nonzero. This objective becomes more achievable when the range set of the distance function is a C∗‐algebra. Unfortunately, the idea
Zulaihatu Tijjani Ahmad +5 more
wiley +1 more source
Investigating the modified UO-iteration process in Banach spaces by a digraph
Open MathematicsGraph theory (GT) is a highly captivating area of study within applied mathematics. Over the last 50 years, the number of mathematicians contributing to research in this field has consistently risen.
Yolacan Esra
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Journal of Mathematics, Volume 2025, Issue 1, 2025.The purpose of this paper is to study the fixed point problem of cyclic mapping in the generalized metric spaces. In an extended b‐metric space, we introduce a new cyclic mapping, which is called LB3S2‐type cyclic mapping into this space, a specific example of LB3S2‐type cyclic mapping is shown, and the fixed point theorem for it is established.
Shengquan Weng +2 more
wiley +1 more source
Composite iterative schemes for maximal monotone operators in reflexive Banach spaces
Fixed Point Theory and Applications, 2011 In this article, we introduce composite iterative schemes for finding a zero point of a finite family of maximal monotone operators in a reflexive Banach space. Then, we prove strong convergence theorems by using a shrinking projection method.
Cho Yeol +2 more
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A look at nonexpansive mappings in non-Archimedean vector spaces
Moroccan Journal of Pure and Applied Analysis, 2021 In a spherically complete ultrametric space every nonexpansive self-mapping T has a fixed point ̄x or a minimal invariant ball B(̄x, d(̄x, T(̄x)). We show how we can approximate this fixed center ̄x in a non-Archimedean vector space.
Lazaiz Samih
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Common Fixed Point Theorems for Order Contractive Mappings on a σ‐Complete Vector Lattice
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this paper, we prove some common fixed point theorems for order contractive mappings on a σ‐complete vector lattice. We apply new results to study the well‐posedness of a common fixed point problem for two contractive mappings. Our proofs are simple and purely order‐theoretic in nature.
Min Wang +4 more
wiley +1 more source