The approximation of common element for maximal monotone operator, generalized mixed equilibrium problem and fixed point problem | ||
Journal of the Egyptian Mathematical Society | ||
Volume 23, Issue 2, 2015, Pages 326-333 PDF (507.34 K) | ||
Document Type: Original Article | ||
DOI: 10.1016/j.joems.2014.05.006 | ||
Authors | ||
Jingling Zhang; Yongfu Su* ; Qingqing Cheng | ||
Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, PR China | ||
Abstract | ||
The purpose of this paper is to get strong convergence theorems for a countable family of relatively quasi-nonexpansive mappings fSng 1 n¼0, a maximal monotone operator T, and a generalized mixed equilibrium problem in a uniformly smooth and uniformly convex Banach space lacking condition UARC. Two examples are given to support our results. One is a countable family of uniformly closed relatively quasi-nonexpansive mappings but not a countable family of relatively nonexpansive mappings. Another is uniformly closed but not satisfies condition UARC. Many recent results in this field have been unified and improved. | ||
Keywords | ||
Relatively quasi-nonexpansive mapping; Generalized f-projection; Uniformly closed; Strong convergence | ||
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