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Charles E. Chidume, Abubakar Adamu, On split generalized mixed equality equilibrium and split equality fixed point problems

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DOI: 10.23952/asvao.2.2020.3.02
Volume 2, Issue 3, 31 December 2020, Pages 273-283

 

Abstract. For p\geq 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-\phi-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 L_p, l_p and the Sobolev spaces W_p^m(\Omega) for 2\leq p<\infty, complements several important recent results that were established in 2-uniformly convex and uniformly smooth real Banach spaces.

 

How to Cite this Article:
Charles E. Chidume, Abubakar Adamu, On split generalized mixed equality equilibrium and split equality fixed point problems, Appl. Set-Valued Anal. Optim. 2 (2020), 273-283.