Some sufficient conditions for fixed points of multivalued nonexpansive mappings in Banach spaces

Xi Wang; Chiping Zhang; Yunan Cui

doi:10.7153/jmi-11-10

Some sufficient conditions for fixed points of multivalued nonexpansive mappings in Banach spaces

Xi Wang
, Chiping Zhang
, Yunan Cui

School of Mathematics

Harbin Institute of Technology
Harbin University of Science and Technology

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

In this paper, we show some sufficient conditions on a Banach space X concerning the generalized von Neumann-Jordan constant, the coefficient R(1,X) and the coefficient of weak orthogonality, which imply the existence of fixed points for multivalued nonexpansive mappings.

Original language	English
Pages (from-to)	113-120
Number of pages	8
Journal	Journal of Mathematical Inequalities
Volume	11
Issue number	1
DOIs	https://doi.org/10.7153/jmi-11-10
State	Published - 2017

Keywords

Fixed point
Generalized García-Falset coefficient
Generalized von Neumann-Jordan constant
Multivalued nonexpansive mapping
The coefficient of weak orthogonality

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10.7153/jmi-11-10

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title = "Some sufficient conditions for fixed points of multivalued nonexpansive mappings in Banach spaces",

abstract = "In this paper, we show some sufficient conditions on a Banach space X concerning the generalized von Neumann-Jordan constant, the coefficient R(1,X) and the coefficient of weak orthogonality, which imply the existence of fixed points for multivalued nonexpansive mappings.",

keywords = "Fixed point, Generalized Garc{\'i}a-Falset coefficient, Generalized von Neumann-Jordan constant, Multivalued nonexpansive mapping, The coefficient of weak orthogonality",

author = "Xi Wang and Chiping Zhang and Yunan Cui",

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T1 - Some sufficient conditions for fixed points of multivalued nonexpansive mappings in Banach spaces

AU - Wang, Xi

AU - Zhang, Chiping

AU - Cui, Yunan

N1 - Publisher Copyright: © ELEMENT, Zagreb.

PY - 2017

Y1 - 2017

N2 - In this paper, we show some sufficient conditions on a Banach space X concerning the generalized von Neumann-Jordan constant, the coefficient R(1,X) and the coefficient of weak orthogonality, which imply the existence of fixed points for multivalued nonexpansive mappings.

AB - In this paper, we show some sufficient conditions on a Banach space X concerning the generalized von Neumann-Jordan constant, the coefficient R(1,X) and the coefficient of weak orthogonality, which imply the existence of fixed points for multivalued nonexpansive mappings.

KW - Fixed point

KW - Generalized García-Falset coefficient

KW - Generalized von Neumann-Jordan constant

KW - Multivalued nonexpansive mapping

KW - The coefficient of weak orthogonality

UR - https://www.scopus.com/pages/publications/85014145271

U2 - 10.7153/jmi-11-10

DO - 10.7153/jmi-11-10

M3 - 文章

AN - SCOPUS:85014145271

SN - 1846-579X

VL - 11

SP - 113

EP - 120

JO - Journal of Mathematical Inequalities

JF - Journal of Mathematical Inequalities

IS - 1

ER -

Some sufficient conditions for fixed points of multivalued nonexpansive mappings in Banach spaces

Abstract

Keywords

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