Results 51 to 60 of about 1,194 (112)
KKM and KY fan theorems in modular function spaces
Fixed Point Theory and Applications, 2011 In modular function spaces, we introduce Knaster-Kuratowski-Mazurkiewicz mappings (in short KKM-mappings) and prove an analogue to Ky Fan s fixed point theorem. 2010 Mathematics Subject Classification: Primary 46B20, 47H09; Secondary 47H10.
Latif Abdul +2 more
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Some new fixed point theorems for nonexpansive-type mappings in geodesic spaces
Open Mathematics, 2022 In this article, we present some new fixed point existence results for nonexpansive-type mappings in geodesic spaces. We also give a number of illustrative examples to settle our claims.
Shukla Rahul, Panicker Rekha
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Finite Ball Intersection Property of the Urysohn Universal Space [PDF]
, 2014 In a paper published posthumously, P.S. Urysohn constructed a complete, separable metric space that contains an isometric copy of every complete separable metric space, nowadays referred to as the Urysohn universal space.
Aksoy, Asuman Guven, Ibragimov, Zair
core
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
Fixed Point Theory and Applications, 2011 We study the strong convergence of a regularization proximal point algorithm for finding a common fixed point of a finite family of nonexpansive mappings in a uniformly convex and uniformly smooth Banach space.
Tuyen Truong, Kim Jong
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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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Mixed-type SP-iteration for asymptotically nonexpansive mappings in hyperbolic spaces
Demonstratio Mathematica, 2023 In this article, we introduce and study some strong convergence theorems for a mixed-type SP-iteration for three asymptotically nonexpansive self-mappings and three asymptotically nonexpansive nonself-mappings in uniformly convex hyperbolic spaces.
Paimsang Papinwich, Thianwan Tanakit
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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
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
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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
doaj +1 more source