نتایج جستجو برای: uniformly convex banach space

تعداد نتایج: 578258  

2007
Shin-ichi OHTA

We prove that Alexandrov spaces X of nonnegative curvature have Markov type 2 in the sense of Ball. As a corollary, any Lipschitz continuous map from a subset of X into a 2-uniformly convex Banach space is extended as a Lipschitz continuous map on the entire space X.

2015
Yuchun Zheng

In this paper, by means of the concept of attractive points of a nonlinear mapping, we prove strong convergence theorem of the Ishikawa iteration for an (α, β)−generalized hybrid mapping in a uniformly convex Banach space, and obtain weak convergence theorem of the Ishikawa iteration for such a mapping in a Hilbert space.

2014
Allan Pinkus

Article history: Received 2 April 2014 Available online 2 July 2014 Submitted by P. Nevai

Journal: :Fixed Point Theory and Algorithms for Sciences and Engineering 2023

Abstract In this paper, a Halpern–Tseng-type algorithm for approximating zeros of the sum two monotone operators whose are J -fixed points relatively -nonexpansive mappings is introduced and studied. A strong convergence theorem established in Banach spaces that uniformly smooth 2-uniformly convex. Furthermore, applications to convex minimization image-restoration problems presented. addition, ...

پایان نامه :وزارت علوم، تحقیقات و فناوری - دانشگاه شهید چمران اهواز 1390

abstract:assume that y is a banach space such that r(y ) ? 2, where r(.) is garc?a-falset’s coefficient. and x is a banach space which can be continuously embedded in y . we prove that x can be renormed to satisfy the weak fixed point property (w-fpp). on the other hand, assume that k is a scattered compact topological space such that k(!) = ? ; and c(k) is the space of all real continuous ...

Journal: :Universal journal of mathematics and applications 2022

The purpose of this paper is to introduce the new iteration process approximate endpoints multivalued nonexpansive mappings in Banach space. We prove weak and strong convergence theorems proposed iterative scheme under some suitable assumptions framework a uniformly convex

2007
M. I. Ostrovskii

M. Gromov [7] suggested to use coarse embeddings into a Hilbert space or into a uniformly convex space as a tool for solving some of the well-known problems. G. Yu [21] and G. Kasparov and G. Yu [11] have shown that this is indeed a very powerful tool. On the other hand, there exist separable metric spaces ([6] and [5, Section 6]) which are not coarsely embeddable into Hilbert spaces. In [9] (s...

2011
MAARTEN V. DE HOOP LINGYUN QIU OTMAR SCHERZER

We consider a class of inverse problems defined by a nonlinear map from parameter or model functions to the data. We assume that solutions exist. The space of model functions is a Banach space which is smooth and uniformly convex; however, the data space can be an arbitrary Banach space. We study sequences of parameter functions generated by a nonlinear Landweber iteration and conditions under ...

Journal: :J. Applied Mathematics 2012
Zhaoli Ma Lin Wang Yunhe Zhao

We introduce an iterative scheme for finding a common element of the set of solutions of generalizedmixed equilibrium problems and the set of fixed points for countable families of total quasi-φasymptotically nonexpansive mappings in Banach spaces. We prove a strong convergence theorem of the iterative sequence generated by the proposed iterative algorithm in an uniformly smooth and strictly co...

Journal: :J. Applied Mathematics 2011
Pongsakorn Sunthrayuth Poom Kumam

We introduce a new general system of variational inclusions in Banach spaces and propose a new iterative scheme for finding common element of the set of solutions of the variational inclusion with set-valued maximal monotone mapping and Lipschitzian relaxed cocoercive mapping and the set of fixed point of nonexpansive semigroups in a uniformly convex and 2-uniformly smooth Banach space. Further...

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