Optimization through best proximity points for multivalued F-contractions

[摘要] Best proximity point theorems ascertain the existence of an approximate optimal solution to the equations of the type $f(x)=x$ when $f$ is not a self-map and a solution of the same does not necessarily exist. Best proximity points theorems, therefore, serve as a powerful tool in the theory of optimization and approximation. The aim of this article is to consider a global optimization problem in the context of best proximity points in a complete metric space. We establish an existence of best proximity result for multivalued mappings using Wardowski's technique.

[学科分类] 数学（综合）

[关键词] best proximity point;fixed point;F-contraction;complete metric space;multivalued map;optimization