An optimization problem involving proximal quasi-contraction mappings
نویسندگان
چکیده
*Correspondence: [email protected] Department of Mathematics, King Saud University, Riyadh, Saudi Arabia Abstract Consider a non-self-mapping T : A→ B, where (A,B) is a pair of nonempty subsets of a metric space (X ,d). In this paper, we study the existence and uniqueness of solutions to the global optimization problem minx∈A d(x, Tx), where T belongs to the class of proximal quasi-contraction mappings. MSC: 41A65; 90C30; 47H10
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