Results 31 to 40 of about 8,017 (187)
Axioms, 2021 In this article, we introduce the class of enriched Suzuki nonexpansive (ESN) mappings. We show that this new class of mappings properly contains the class of Suzuki nonexpansive as well as the class of enriched nonexpansive mappings.
Kifayat Ullah +3 more
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Common fixed points for nonexpansive type fuzzy mappings
International Journal of Mathematics and Mathematical Sciences, 1995 In this paper we define g-nonexpansive and g-nonexpansive type fuzzy mappings and prove common fixed point theorems for sequences of fuzzy mappings satisfying certain conditions on a Banach space. Thus we obtain fixed point theorems for nonexpansive type
Byung Soo Lee +3 more
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On monotone nonexpansive mappings in CAT p ( 0 ) $\operatorname{CAT}_{p}(0)$ spaces
Fixed Point Theory and Applications, 2020 In this paper, based on some geometrical properties of CAT p ( 0 ) $\operatorname{CAT}_{p}(0)$ spaces, for p ≥ 2 $p \geq 2$ , we obtain two fixed point results for monotone multivalued nonexpansive mappings and proximally monotone nonexpansive mappings ...
Sami Shukri
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Some Convergence Results for a Class of Generalized Nonexpansive Mappings in Banach Spaces
Advances in Mathematical Physics, 2021 This paper investigates fixed points of Reich-Suzuki-type nonexpansive mappings in the context of uniformly convex Banach spaces through an M∗ iterative method. Under some appropriate situations, some strong and weak convergence theorems are established.
Thabet Abdeljawad +4 more
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Porosity Results for Sets of Strict Contractions on Geodesic Metric Spaces
, 2017 We consider a large class of geodesic metric spaces, including Banach spaces, hyperbolic spaces and geodesic $\mathrm{CAT}(\kappa)$-spaces, and investigate the space of nonexpansive mappings on either a convex or a star-shaped subset in these settings ...
Bargetz, Christian +2 more
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ON MULTIVALUED f-NONEXPANSIVE MAPS
Demonstratio Mathematica, 1999 The authors prove coincidence, fixed point, and convergence theorems which extend previous results by G. L. Acedo and H.-K. Xu, W. G. Dotson, G. Jungck and S. Sessa, and E. Lami Dozo.
Latif, Abdul, Tweddle, Ian
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Journal of Inequalities and Applications, 2022 This paper is devoted to the study of a class of generalized nonexpansive mappings called generalized nearly asymptotically nonexpansive mappings and to show that it properly includes the class of nearly asymptotically nonexpansive mappings.
Javad Balooee, Shih-sen Chang, Lin Wang
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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
Su, Yongfu, Qin, Xiaolong
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Convergence theorems for I‐nonexpansive mapping [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 We establish the weak convergence of a sequence of Mann iterates of an I‐nonexpansive map in a Banach space which satisfies Opial′s condition.
B. E. Rhoades, Seyit Temir
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International Journal of Mathematics and Mathematical Sciences, 1995 We construct an example that the class of asymptotically nonexpansive mappings include properly the class of nonexpansive mappings in locally convex spaces, prove a theorem on the existence of fixed points, and the convergence of the sequence of iterates
P. Vijayaraju
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