Fixed points of multivalued quasi-nonexpansive mappings using a faster iterative process

Safeer H Khan; Mujahid Abbas; Sartaj Ali

doi:10.1007/s10114-014-3590-9

Fixed points of multivalued quasi-nonexpansive mappings using a faster iterative process

Safeer H Khan
, Mujahid Abbas
, Sartaj Ali

Mathematics and Statistics

Department of Mathematics, Statistics and Physics, College of Arts and Sciences, Qatar University
University of Pretoria
National College of Business Administration and Economics

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

10 Scopus citations

Abstract

In this article, we prove some strong and weak convergence theorems for quasi-nonexpansive multivalued mappings in Banach spaces. The iterative process used is independent of Ishikawa iterative process and converges faster. Some examples are provided to validate our results. Our results extend and unify some results in the contemporary literature. © 2014 Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg.

Original language	English
Pages (from-to)	1231-1241
Number of pages	11
Journal	Acta Mathematica Sinica, English Series
Volume	30
Issue number	7
DOIs	https://doi.org/10.1007/s10114-014-3590-9
State	Published - Jan 1 2014

Keywords

common fixed point
condition (I)
Multivalued nonexpansive mapping
weak and strong convergence

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10.1007/s10114-014-3590-9

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AB - In this article, we prove some strong and weak convergence theorems for quasi-nonexpansive multivalued mappings in Banach spaces. The iterative process used is independent of Ishikawa iterative process and converges faster. Some examples are provided to validate our results. Our results extend and unify some results in the contemporary literature. © 2014 Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg.

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KW - condition (I)

KW - Multivalued nonexpansive mapping

KW - weak and strong convergence

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Fixed points of multivalued quasi-nonexpansive mappings using a faster iterative process

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Keywords

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