On a hybrid algorithm for a family of total quasi-ϕ-asymptotically nonexpansive mappings in Banach spaces
Ping Zuo, Shih-sen Chang, Min Liu · Fixed Point Theory and Applications · 2012
Abstract The purpose of this article is to introduce the concept of total quasi- ϕ-asymptotically nonexpansive mapping which contains many kinds of mappings as its special cases and we prove a strong convergence theorem by using a hybrid method for finding a common element of the set of solutions for a generalized mixed equilibrium problems, the set of fixed points of a family of total quasi- ϕ-asymptotically nonexpansive mappings in uniformly smooth and strictly convex Banach space with the Kadec-Klee property. The results presented in the article improve and extend some recent results. MR (2000) Subject Classification: 47H09; 47H05.