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

• Zhang, Huancheng (DEPARTMENT OF MATHEMATICS TIANJIN POLYTECHNIC UNIVERSITY) ;
• Su, Yongfu (DEPARTMENT OF MATHEMATICS TIANJIN POLYTECHNIC UNIVERSITY)
• Published : 2009.10.31

Abstract

In this paper, we propose a modified hybrid algorithm and prove strong convergence theorems for a family of quasi-$\phi$-asymptotically nonexpansive mappings. Our results extend and improve the results by Nakajo, Takahashi, Kim, Xu, Su and some others.

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1. Strong convergence theorems for nonlinear operator equations with total quasi-ϕ-asymptotically nonexpansive mappings and applications vol.2012, pp.1, 2012, https://doi.org/10.1186/1687-1812-2012-34
2. Generalized Mixed Equilibrium Problems and Fixed Point Problem for a Countable Family of Total Quasi-ϕ-Asymptotically Nonexpansive Mappings in Banach Spaces vol.2012, 2012, https://doi.org/10.1155/2012/961560
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 vol.2011, 2011, https://doi.org/10.1155/2011/106323