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.
Zhang, J., Su, Y., & Cheng, Q. (2015). The approximation of common element for maximal monotone operator, generalized mixed equilibrium problem and fixed point problem. Journal of the Egyptian Mathematical Society, 23(2), 326-333. doi: 10.1016/j.joems.2014.05.006
MLA
Jingling Zhang; Yongfu Su; Qingqing Cheng. "The approximation of common element for maximal monotone operator, generalized mixed equilibrium problem and fixed point problem", Journal of the Egyptian Mathematical Society, 23, 2, 2015, 326-333. doi: 10.1016/j.joems.2014.05.006
HARVARD
Zhang, J., Su, Y., Cheng, Q. (2015). 'The approximation of common element for maximal monotone operator, generalized mixed equilibrium problem and fixed point problem', Journal of the Egyptian Mathematical Society, 23(2), pp. 326-333. doi: 10.1016/j.joems.2014.05.006
VANCOUVER
Zhang, J., Su, Y., Cheng, Q. The approximation of common element for maximal monotone operator, generalized mixed equilibrium problem and fixed point problem. Journal of the Egyptian Mathematical Society, 2015; 23(2): 326-333. doi: 10.1016/j.joems.2014.05.006
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