COMMON FIXED POINT THEOREMS FOR g-GENERALIZED CONTRACTIVE MAPPINGS IN b-METRIC SPACES

摘要

In this paper, we establish some common fixed point results for a pair of self-mappings satisfying g-generalized weakly contractive conditions (governed by an implicit function) in a b-metric space endowed with an amorphous binary relation. Our results generalize relevant core results of the existing literature, which include several rational contractions as well as some weakly contractive conditions.