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

Mujahid Abbas; Safeer Hussain Khan; Safeer Hussain 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
, Safeer Hussain Khan
, Ravi P. Agarwal

Mathematics and Statistics

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

50 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. © 2010 Elsevier Ltd. All rights reserved.

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 1 2011

Keywords

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

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10.1016/j.aml.2010.08.025

Cite this

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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. {\textcopyright} 2010 Elsevier Ltd. All rights reserved.",

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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. © 2010 Elsevier Ltd. All rights reserved.

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KW - Condition (A′)

KW - Nonexpansive mapping

KW - One-step iterative scheme

KW - Weak and strong convergence

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JF - Applied Mathematics Letters

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ER -

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

Abstract

Keywords

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