On split generalized mixed equality equilibrium and split equality fixed point problems
Applied Set-Valued Analysis and Optimization · 2020
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 L p , l p and the Sobolev spaces W m p (Ω) for 2 ≤ p < ∞, complements several important recent results that were established in 2-uniformly convex and uniformly smooth real Banach spaces.