Goebel and Kirk fixed point theorem for multivalued asymptotically nonexpansive mappings

Abdul Rahim Khan; Mohamed Amine Khamsi

Goebel and Kirk fixed point theorem for multivalued asymptotically nonexpansive mappings

Abdul Rahim Khan, Mohamed Amine Khamsi

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

Abstract

We introduce the concept of a multivalued asymptotically nonexpansive mapping and establish Goebel and Kirk fixed point theorem for these mappings in uniformly hyperbolic metric spaces. We also define a modified Mann iteration process for this class of mappings and obtain an extension of some well-known results for singlevalued mappings defined on linear as well as nonlinear domains.

Original language	English
Journal	Carpathian Journal of Mathematics
State	Published - 2017

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title = "Goebel and Kirk fixed point theorem for multivalued asymptotically nonexpansive mappings",

abstract = "We introduce the concept of a multivalued asymptotically nonexpansive mapping and establish Goebel and Kirk fixed point theorem for these mappings in uniformly hyperbolic metric spaces. We also define a modified Mann iteration process for this class of mappings and obtain an extension of some well-known results for singlevalued mappings defined on linear as well as nonlinear domains.",

author = "Khan, \{Abdul Rahim\} and Khamsi, \{Mohamed Amine\}",

year = "2017",

language = "English",

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TY - JOUR

T1 - Goebel and Kirk fixed point theorem for multivalued asymptotically nonexpansive mappings

AU - Khan, Abdul Rahim

AU - Khamsi, Mohamed Amine

PY - 2017

Y1 - 2017

N2 - We introduce the concept of a multivalued asymptotically nonexpansive mapping and establish Goebel and Kirk fixed point theorem for these mappings in uniformly hyperbolic metric spaces. We also define a modified Mann iteration process for this class of mappings and obtain an extension of some well-known results for singlevalued mappings defined on linear as well as nonlinear domains.

AB - We introduce the concept of a multivalued asymptotically nonexpansive mapping and establish Goebel and Kirk fixed point theorem for these mappings in uniformly hyperbolic metric spaces. We also define a modified Mann iteration process for this class of mappings and obtain an extension of some well-known results for singlevalued mappings defined on linear as well as nonlinear domains.

M3 - Article

SN - 1584-2851

JO - Carpathian Journal of Mathematics

JF - Carpathian Journal of Mathematics

ER -

Goebel and Kirk fixed point theorem for multivalued asymptotically nonexpansive mappings

Abstract

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