Results 31 to 40 of about 3,848 (206)
On Annihilated Points and Approximate Fixed Points of General Higher-Order Nonexpansive Mappings
Abstract and Applied Analysis, 2023 In this paper, we extend the results obtained by Ezearn on annihilated points for his higher-order nonexpansive mappings to the context of general higher-order nonexpansive mappings.
Joseph Frank Gordon +5 more
doaj +1 more source
Approximating of fixed points for Garsia-Falset generalized nonexpansive mappings
Journal of New Results in Science, 2023 This paper studies the convergence of fixed points for Garsia-Falset generalized nonexpansive mappings. First, it investigates weak and strong convergence results for Garsia-Falset generalized nonexpansive mappings using the Temir-Korkut iteration in ...
Oruç Zincir, Seyit Temir
doaj +1 more source
Demiclosedness Principles for Generalized Nonexpansive Mappings [PDF]
Journal of Optimization Theory and Applications, 2020 Demiclosedness principles are powerful tools in the study of convergence of iterative methods. For instance, a multi-operator demiclosedness principle for firmly nonexpansive mappings is useful in obtaining simple and transparent arguments for the weak convergence of the shadow sequence generated by the Douglas-Rachford algorithm. We provide extensions
Sedi Bartz, Rubén Campoy, Hung M. Phan
openaire +2 more sources
Fixed Point Theory and Algorithms for Sciences and Engineering, 2023 The purpose of this paper is to study the convergence theorems in CAT ( κ ) $\operatorname{CAT} (\kappa )$ spaces with k > 0 $k > 0$ for total asymptotically nonexpansive mappings which are essentially wider than nonexpansive mappings, asymptotically ...
Shih-sen Chang +3 more
doaj +1 more source
Iterative Algorithms for Nonexpansive Mappings [PDF]
Fixed Point Theory and Applications, 2007 AbstractWe suggest and analyze two new iterative algorithms for a nonexpansive mapping T in Banach spaces. We prove that the proposed iterative algorithms converge strongly to some fixed point of T.
Yao Yonghong, Liou Yeong-Cheng
openaire +3 more sources
ORBITALLY NONEXPANSIVE MAPPINGS [PDF]
Bulletin of the Australian Mathematical Society, 2015 We define a class of nonlinear mappings which is properly larger than the class of nonexpansive mappings. We also give a fixed point theorem for this new class of mappings.
openaire +1 more source
On nonexpansive mappings [PDF]
Proceedings of the American Mathematical Society, 1964 holds for all p, qEX (for all p, q with d(p, q)
openaire +1 more source
Abstract and Applied Analysis, 2012 The purpose of this paper is to present the notion of weak relatively nonexpansive multi-valued mapping and to prove the strong convergence theorems of fixed point for weak relatively nonexpansive multivalued mappings in Banach spaces.
Jingling Zhang +2 more
doaj +1 more source
Strong Convergence Theorems for Nonexpansive Mapping [PDF]
Journal of Systems Science and Complexity, 2007 Let \(C\) be a closed convex subset of a uniformly smooth Banach space \(E\) and \(T\) a nonexpansive selfmap of \(C\) with \(F(T) \neq \emptyset\). Given a point \(u \in C\) and an initial guess \(x_0 \in C\), the author proves the strong convergence of the iteration scheme defined by \(z_n = \gamma_nx_n + (1 - \gamma_n)Tx_n\), \(y_n = \beta_nx_n + (1
Yongfu Su, Xiaolong Qin
openaire +2 more sources
Comments on the cosmic convergence of nonexpansive maps [PDF]
Journal of Fixed Point Theory and Applications, 2021 AbstractThis note discusses some aspects of the asymptotic behaviour of nonexpansive maps. Using metric functionals, we make a connection to the invariant subspace problem and prove a new result for nonexpansive maps of $$\ell ^{1}$$ ℓ 1 .
Gutiérrez, Armando W., Karlsson, Anders
openaire +7 more sources