Existence and iterative algorithm of solutions for a new system of generalized set-valued mixed equilibrium-like problems in Banach spaces
نویسنده
چکیده
A new system of generalized set-valued mixed equilibrium-like problems (in short, S-GMELP) in Banach spaces is discussed. In order to obtain the existence of solutions of S-GMELP, a system of related auxiliary problems (in short, S-AP) is established. On the basis of the existence and uniqueness of solutions of the S-AP, an iterative algorithm for the S-GMELP is constructed. It is proved that the iterative sequence converges some solution of S-GMELP. Finally, an example is given to well exemplify our main result. Key–Words: Equilibrium-like problem, Auxiliary principle technique, Existence, Iterative algorithm, Banach space
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