ON THE GLOBAL OPTIMIZATION OF MULTI-OBJECTIVE FUNCTIONS APPROACHED BY THE ALMOST GENERALIZED PC-CONTRACTIVE CONDITION IN PARTIAL METRIC SPACES

摘要

In this paper, we introduce a new generalized contraction mapping, called an almost generalized PC-contraction mapping, and then we establish some common fixed point theorem for such mappings in partial metric spaces. As applications, we use the common fixed point results for investigating common best proximity point results in partial metric spaces. Our results can be applied in the global optimization of multi-objective functions.