Strong Convergence Theorems for a Generalized Mixed Equilibrium Problem and a Family of Total Quasi--Asymptotically Nonexpansive Multivalued Mappings in Banach Spaces
Author(s) -
J. F. Tan,
S.S. Chang
Publication year - 2012
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2012/147915
Subject(s) - mathematics , banach space , variational inequality , convergence (economics) , regular polygon , set (abstract data type) , property (philosophy) , fixed point , pure mathematics , space (punctuation) , discrete mathematics , mathematical analysis , computer science , geometry , philosophy , epistemology , economics , programming language , economic growth , operating system
The main purpose of this paper is by using a hybrid algorithm to find a common element of the set of solutions for a generalized mixed equilibrium problem, the set of solutions for variational inequality problems, and the set of common fixed points for a infinite family of total quasi--asymptotically nonexpansive multivalued mapping in a real uniformly smooth and strictly convex Banach space with Kadec-Klee property. The results presented in this paper improve and extend some recent results announced by some authors
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