Results 51 to 60 of about 2,131 (145)
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
On boundary value problems for degenerate differential inclusions in Banach spaces
Abstract and Applied Analysis, Volume 2003, Issue 13, Page 769-784, 2003., 2003 We consider the applications of the theory of condensing set‐valued maps, the theory of set‐valued linear operators, and the topological degree theory of the existence of mild solutions for a class of degenerate differential inclusions in a reflexive Banach space.
Valeri Obukhovskii, Pietro Zecca
wiley +1 more source
The split equilibrium problem and its convergence algorithms
, 2012 The purpose of this paper is to introduce a split equilibrium problem (SEP) and find a solution of the equilibrium problem such that its image under a given bounded linear operator is a solution of another equilibrium problem.
Zhenhua He
semanticscholar +1 more source
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
Random fixed point theorems for asymptotic 1‐set contraction operators
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 7, Page 407-412, 2002., 2002 Random fixed point theorems for condensing, 1‐set contraction selfless are known. But no random fixed point theorem for more general asymptotic 1‐set contraction selfmaps is yet available. The purpose of this paper is to prove random fixed point theorems for such maps.
P. Vijayaraju
wiley +1 more source
New iteration scheme for numerical reckoning fixed points of nonexpansive mappings
, 2014 The purpose of this paper is to introduce a new three step iteration scheme for approximation of fixed points of the nonexpansive mappings. We show that our iteration process is faster than all of the Picard, the Mann, the Agarwal et al., and the Abbas ...
Dipti Thakur, B. Thakur, M. Postolache
semanticscholar +1 more source
Convergence results on Picard-Krasnoselskii hybrid iterative process in CAT(0) spaces
Open Mathematics, 2021 We get the strong and Δ\Delta -convergence of the Picard-Krasnoselskii hybrid iteration scheme to a fixed point of a self-map endowed with the condition (Bγ,μ)\left({B}_{\gamma ,\mu }). We use the nonlinear context of CAT(0) spaces for establishing these
Ahmad Junaid +4 more
doaj +1 more source
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
Iterative algorithms with errors for zero points of m-accretive operators
, 2013 In this paper, we study the convergence of paths for continuous pseudocontractions in a real Banach space. As an application, we consider the problem of finding zeros of m-accretive operators based on an iterative algorithm with errors.
X. Qin, S. Cho, Lin Wang
semanticscholar +1 more source
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
doaj