On split generalized mixed equality equilibrium and split equality fixed point problems

被引：0
作者：
Chidume C.E. [1 ]
Adamu A. [1 ]
机构：
[1] African University of Science and Technology, Abuja
来源：
Applied Set-Valued Analysis and Optimization | 2020年 / 2卷 / 03期
关键词：
Fixed point; P-uniformly convex; Quasi-φ-nonexpansive; Uniformly smooth;
D O I：
10.23952/asvao.2.2020.3.02
中图分类号：
学科分类号：
摘要：
For p ≥ 2, a new iterative algorithm is introduced and used to approximate a common element of the set of solutions of a split generalized mixed equality equilibrium problem and the set of solutions of a split equality fixed point problem for quasi-φ-nonexpansive mappings in p-uniformly convex and uniformly smooth real Banach spaces. A strong convergence theorem is proved without any compactness-type assumption on the mappings. Furthermore, our theorem, which is applicable, in particular, in Lp, lp and the Sobolev spaces Wpm(Ω) for 2 ≤ p < ∞, complements several important recent results that were established in 2-uniformly convex and uniformly smooth real Banach spaces. ©2020 Applied Set-Valued Analysis and Optimization
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页码：273 / 283
页数：10
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