Common fixed points of two multivalued nonexpansive mappings by one-step iterative scheme

Mujahid Abbas; Safeer Hussain Khan; Abdul Rahim Khan; Ravi P. Agarwal

doi:10.1016/j.aml.2010.08.025

Common fixed points of two multivalued nonexpansive mappings by one-step iterative scheme

Mujahid Abbas
, Safeer Hussain Khan
, Abdul Rahim Khan
, Ravi P. Agarwal

Department of Mathematics

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

51 Scopus citations

Abstract

In this paper, we introduce a new one-step iterative process to approximate common fixed points of two multivalued nonexpansive mappings in a real uniformly convex Banach space. We establish weak and strong convergence theorems for the proposed process under some basic boundary conditions.

Original language	English
Pages (from-to)	97-102
Number of pages	6
Journal	Applied Mathematics Letters
Volume	24
Issue number	2
DOIs	https://doi.org/10.1016/j.aml.2010.08.025
State	Published - Feb 2011

Keywords

Common fixed point
Condition (A′)
Nonexpansive mapping
One-step iterative scheme
Weak and strong convergence

ASJC Scopus subject areas

Applied Mathematics

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10.1016/j.aml.2010.08.025

Cite this

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title = "Common fixed points of two multivalued nonexpansive mappings by one-step iterative scheme",

abstract = "In this paper, we introduce a new one-step iterative process to approximate common fixed points of two multivalued nonexpansive mappings in a real uniformly convex Banach space. We establish weak and strong convergence theorems for the proposed process under some basic boundary conditions.",

keywords = "Common fixed point, Condition (A′), Nonexpansive mapping, One-step iterative scheme, Weak and strong convergence",

author = "Mujahid Abbas and Khan, \{Safeer Hussain\} and Khan, \{Abdul Rahim\} and Agarwal, \{Ravi P.\}",

year = "2011",

month = feb,

doi = "10.1016/j.aml.2010.08.025",

language = "English",

volume = "24",

pages = "97--102",

journal = "Applied Mathematics Letters",

issn = "0893-9659",

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T1 - Common fixed points of two multivalued nonexpansive mappings by one-step iterative scheme

AU - Abbas, Mujahid

AU - Khan, Safeer Hussain

AU - Khan, Abdul Rahim

AU - Agarwal, Ravi P.

PY - 2011/2

Y1 - 2011/2

N2 - In this paper, we introduce a new one-step iterative process to approximate common fixed points of two multivalued nonexpansive mappings in a real uniformly convex Banach space. We establish weak and strong convergence theorems for the proposed process under some basic boundary conditions.

AB - In this paper, we introduce a new one-step iterative process to approximate common fixed points of two multivalued nonexpansive mappings in a real uniformly convex Banach space. We establish weak and strong convergence theorems for the proposed process under some basic boundary conditions.

KW - Common fixed point

KW - Condition (A′)

KW - Nonexpansive mapping

KW - One-step iterative scheme

KW - Weak and strong convergence

UR - https://www.scopus.com/pages/publications/78049453392

U2 - 10.1016/j.aml.2010.08.025

DO - 10.1016/j.aml.2010.08.025

M3 - Article

AN - SCOPUS:78049453392

SN - 0893-9659

VL - 24

SP - 97

EP - 102

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 2

ER -

Common fixed points of two multivalued nonexpansive mappings by one-step iterative scheme

Abstract

Keywords

ASJC Scopus subject areas

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