Optimization through best proximity points for multivalued F-contractions

  • Pradip Debnath, Department of Applied Science and Humanities, Assam University, Silchar, Cachar, Assam - 788011, India,


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: 10.18514/MMN.2021.3355

Download: MMN-3355