STRONG CONVERGENCE OF MODIFIED HYBRID ALGORITHM FOR QUASI-φ-ASYMPTOTICALLY NONEXPANSIVE MAPPINGS

Title & Authors
STRONG CONVERGENCE OF MODIFIED HYBRID ALGORITHM FOR QUASI-φ-ASYMPTOTICALLY NONEXPANSIVE MAPPINGS
Zhang, Huancheng; Su, Yongfu;

Abstract
In this paper, we propose a modified hybrid algorithm and prove strong convergence theorems for a family of quasi-$\small{\phi}$-asymptotically nonexpansive mappings. Our results extend and improve the results by Nakajo, Takahashi, Kim, Xu, Su and some others.
Keywords
hybrid algorithm;quasi-$\small{\phi}$-asymptotically nonexpansive;strong convergence;generalized projection;
Language
English
Cited by
1.
Strong convergence theorems for nonlinear operator equations with total quasi-ϕ-asymptotically nonexpansive mappings and applications, Fixed Point Theory and Applications, 2012, 2012, 1, 34
2.
Generalized Mixed Equilibrium Problems and Fixed Point Problem for a Countable Family of Total Quasi-ϕ-Asymptotically Nonexpansive Mappings in Banach Spaces, Journal of Applied Mathematics, 2012, 2012, 1
3.
A New Hybrid Algorithm for Solving a System of Generalized Mixed Equilibrium Problems, Solving a Family of Quasi--Asymptotically Nonexpansive Mappings, and Obtaining Common Fixed Points in Banach Space, International Journal of Mathematics and Mathematical Sciences, 2011, 2011, 1
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