MMN-3355

Optimization through best proximity points for multivalued F-contractions

Pradip Debnath;

Abstract

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.


Vol. 22 (2021), No. 1, pp. 143-151
DOI: https://doi.org/10.18514/MMN.2021.3355


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