TRIPLED FIXED POINT THEOREMS IN ????∗-ALGEBRA VALUED ???? -METRIC???? SPACES

Abstract

In this paper, we establish unique common tripled fixed point theorems for pairs of mappings that satisfy a specific rational contraction condition in ????∗-AV-????????-MS .Several illustrative examples are provided to demonstrate the validity of the hypotheses underlying our results .Furthermore ,we explore an application in homotopy theory ,where we establish both the existence and uniqueness of solutions to a class of nonlinear integral equations .