SOME COMMON FIXED POINT THEOREMS FOR D-OPERATOR PAIR WITH APPLICATIONS TO NONLINEAR INTEGRAL EQUATIONS

Abstract

In this paper, we define D-operator pair for single valued mappings and obtainsome common fixed point theorems for this class of maps under relaxed conditions. As application, we discuss the existence of solutions for some nonlinear integral equations that appear in nonlinear analysis and its applications. We also provide some illustrative examples to highlight the realized improvements.