Existence and convergence results for generalized α-nonexpansive mappings in hyperbolic metric spaces

Rajendra Pant; Rahul Shukla; Shyam Lal Singh

Existence and convergence results for generalized α-nonexpansive mappings in hyperbolic metric spaces

Rajendra Pant
, Rahul Shukla
, Shyam Lal Singh

Visvesvaraya National Institute of Technology

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

We consider a new type of nonexpansive mappings and obtain a number of existence and convergence theorems in hyperbolic metric spaces. This new class of nonlinear mapping properly contains nonexapsive, Suzuki type generalized nonexapsive and partially enteds α-nonexpansive mappings. We also give examples to show the generality of the mappings considered herein.

Original language	English
Title of host publication	Recent Advances in Fixed Point Theory and Applications
Publisher	Nova Science Publishers, Inc.
Pages	83-98
Number of pages	16
ISBN (Electronic)	9781536121049
ISBN (Print)	9781536120851
Publication status	Published - 1 Jan 2017
Externally published	Yes

Keywords

Generalized α-nonexpansive mapping
Hyperbolic metric space
Nonexpansive mapping

ASJC Scopus subject areas

General Mathematics

Cite this

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abstract = "We consider a new type of nonexpansive mappings and obtain a number of existence and convergence theorems in hyperbolic metric spaces. This new class of nonlinear mapping properly contains nonexapsive, Suzuki type generalized nonexapsive and partially enteds α-nonexpansive mappings. We also give examples to show the generality of the mappings considered herein.",

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AU - Singh, Shyam Lal

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N2 - We consider a new type of nonexpansive mappings and obtain a number of existence and convergence theorems in hyperbolic metric spaces. This new class of nonlinear mapping properly contains nonexapsive, Suzuki type generalized nonexapsive and partially enteds α-nonexpansive mappings. We also give examples to show the generality of the mappings considered herein.

AB - We consider a new type of nonexpansive mappings and obtain a number of existence and convergence theorems in hyperbolic metric spaces. This new class of nonlinear mapping properly contains nonexapsive, Suzuki type generalized nonexapsive and partially enteds α-nonexpansive mappings. We also give examples to show the generality of the mappings considered herein.

KW - Generalized α-nonexpansive mapping

KW - Hyperbolic metric space

KW - Nonexpansive mapping

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M3 - Chapter

AN - SCOPUS:85033993989

SN - 9781536120851

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EP - 98

BT - Recent Advances in Fixed Point Theory and Applications

PB - Nova Science Publishers, Inc.

ER -

Existence and convergence results for generalized α-nonexpansive mappings in hyperbolic metric spaces

Abstract

Keywords

ASJC Scopus subject areas

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