Journal
ACTA MATHEMATICA SCIENTIA
Volume 33, Issue 1, Pages 303-320Publisher
SPRINGER
DOI: 10.1016/S0252-9602(12)60212-4
Keywords
weak convergence; relatively nonexpansive mapping; equilibrium problem; variational inequality
Categories
Funding
- NSF of China [11171172]
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In this paper, we introduce two new iterative algorithms for finding a common element of the set of solutions of a general equilibrium problem and the set of solutions of the variational inequality for an inverse-strongly monotone operator and the set of common fixed points of two infinite families of relatively nonexpansive mappings or the set of common fixed points of an infinite family of relatively quasi-nonexpansive mappings in Banach spaces. Then we study the weak convergence of the two iterative sequences. Our results improve and extend the results announced by many others.
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