Generalized Mixed Equilibrium Problems and Fixed Point Problem for a Countable Family of Total Quasi-ϕ-Asymptotically Nonexpansive Mappings in Banach Spaces
Keyword(s):
The purpose of this paper is first to introduce the concept oftotal quasi-ϕ-asymptotically nonexpansive mappingwhich contains many kinds of mappings as its special cases and then to use a hybrid algorithm to introduce a new iterative scheme for finding a common element of the set of solutions for a system of generalized mixed equilibrium problems and the set of common fixed points for a countable family of total quasi-ϕ-asymptotically nonexpansive mappings. Under suitable conditions some strong convergence theorems are established in an uniformly smooth and strictly convex Banach space with Kadec-Klee property. The results presented in the paper improve and extend some recent results.
2014 ◽
Vol 2014
(1)
◽
2011 ◽
Vol 2011
(1)
◽
2011 ◽
Vol 2011
◽
pp. 1-16
◽
2011 ◽
Vol 54
(1)
◽
pp. 27-46
◽
2011 ◽
Vol 2011
◽
pp. 1-22