Resumen de Best proximity point theorems: unriddling a special nonlinear programming problem

S. Sadiq Basha

• This paper addresses the non-linear programming problem of globally minimizing the real valued function x⟶d(x,Sx) where S is a generalized proximal contraction in the setting of a metric space. Eventually, one can obtain optimal approximate solutions to some fixed-point equations in the event that they have no solution.