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Remarks on Invariant Method of the Second-Order Linear Differential Equations with Variable Coefficients Read chapter Read first chapter

2013 | OriginalPaper | Chapter

Two-Step Iterative Algorithms for Two Multivalued Quasi-Nonexpansive Mappings

Author : Yinying Zhou

Published in: Proceedings of The Eighth International Conference on Bio-Inspired Computing: Theories and Applications (BIC-TA), 2013

Publisher: Springer Berlin Heidelberg

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Abstract

In this paper, a new two-step iterative algorithms is introduced to approximate common Fixed point of two multivalued quasi-nonexpansive mappings in a real uniformly convex Banach Space. Furthermore, we also prove some strong and weak convergence theorems in uniformly convex Banach Space.

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Literature
1.
Sastry KPR, Babu GVR (2005) Convergence of Ishikawa iterates for multivalued mapping with a fixed point. Czechoslovak Math J 55:817–826
2.
Hu T, Huang JC, Rhoades BE (1997) A general principle for Ishikawa iterations for multivalued mappings. Indian J Pure Appl Math 28:1091–1098MathSciNetMATH
3.
Esla M, Abkar A (2011) One-step iterative process for a finite family of multivalued mappings. Math Comp Mode 54:105–111
4.
Abbas M, Khan SH (2011) Common fixed points of two multivalued nonexpansive mappings by one-step iterative scheme. Appl Math Lett 24:97–102MathSciNetCrossRefMATH
5.
Khan SH, Abbas M, Rhoades BE (2010) A new one-step iterative process for approximating common fixed points of two multivalued nonexpansive mappings. Rend Circ Mat 59:149–157
Metadata
Title
Two-Step Iterative Algorithms for Two Multivalued Quasi-Nonexpansive Mappings
Author
Yinying Zhou
Copyright Year
2013
Publisher
Springer Berlin Heidelberg
Book
Proceedings of The Eighth International Conference on Bio-Inspired Computing: Theories and Applications (BIC-TA), 2013

Print ISBN: 978-3-642-37501-9

Electronic ISBN: 978-3-642-37502-6

Copyright Year: 2013

DOI
https://doi.org/10.1007/978-3-642-37502-6_25

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