Results 21 to 30 of about 1,535 (205)
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
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On extremal nonexpansive mappings [PDF]
Zeitschrift für Analysis und ihre AnwendungenWe study the extremality of nonexpansive mappings on a non-empty bounded, closed, and convex subset of a normed space (therein specific Banach spaces). We show that surjective isometries are extremal in this sense for many Banach spaces, including Banach spaces with the Radon–Nikodym property and all
Christian Bargetz +2 more
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Approximation of Fixed Points of Weak Bregman Relatively Nonexpansive Mappings in Banach Spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 2011 We introduce a concept of weak Bregman relatively nonexpansive mapping which is distinct from Bregman relatively nonexpansive mapping. By using projection techniques, we construct several modification of Mann type iterative algorithms with errors and ...
Jiawei Chen +3 more
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Fixed-Point Theorems for Mean Nonexpansive Mappings in Banach Spaces [PDF]
Abstract and Applied Analysis, 2014 We define a mean nonexpansive mapping T on X in the sense that Tx-Ty≤ax-y+bx-Ty, a,b≥0,a+b≤1. It is proved that mean nonexpansive mapping has approximate fixed-point sequence, and, under some suitable conditions, we get some existence and uniqueness ...
Zhanfei Zuo
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On the fixed points of affine nonexpansive mappings [PDF]
International Journal of Mathematics and Mathematical Sciences, 2001 Let K be a closed convex bounded subset of a Banach space X and let T:K→K be a continuous affine mapping. In this note, we show that (a) if T is nonexpansive then it has a fixed point, (b) if T has only one fixed point then the mapping A=(I+T)/2 is a ...
Hülya Duru
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Mixed Approximation for Nonexpansive Mappings in Banach Spaces [PDF]
Abstract and Applied Analysis, 2010 The mixed viscosity approximation is proposed for finding fixed points of nonexpansive mappings, and the strong convergence of the scheme to a fixed point of the nonexpansive mapping is proved in a real Banach space with uniformly Gâteaux differentiable ...
Qing-Bang Zhang +2 more
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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
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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.
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Shrinking Projection Method of Common Solutions for Generalized Equilibrium Quasi-ϕ-Nonexpansive Mapping and Relatively Nonexpansive Mapping [PDF]
, 2010 We prove a strong convergence theorem for finding a common element of the set of solutions for generalized equilibrium problems, the set of fixed points of a relatively nonexpansive mapping, and the set of fixed points of a quasi-ϕ-nonexpansive ...
Min Liu, Shih-Sen Chang, Ping Zuo
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On nonexpansive mappings [PDF]
Proceedings of the American Mathematical Society, 1964 holds for all p, qEX (for all p, q with d(p, q)
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