IN Mb v - COMPLETE METRIC SPACE, COMMON FIXED POINT THEOREMS FOR TWO AND FOUR SELF-MAPS UNDER DIFFERENT CONTRACTION PRINCIPLES

Abstract

Two distinct theorems are presented in this manuscript. The first one
establishes the existence of coincidence points and the g-weakness of Mb
v metric
space. The Reich contraction principle produces a unique common fixed point for
two maps, as illustrated in various examples. Second, same concept is used to
identify common fixed point for four self maps. The Kannan and Banach contraction
principles were applied in conjunction with extra requirements to get the fixed
points as corollaries. This theorem’s approach was used to solve several examples.