Extended Parametric Ab-metric Space and Some Fixed Point Results with an Application to a System of Integral Equations

Abstract

In this paper, we consider the generalized framework of an extended parametric Ab-metric space and prove
some results on common fixed points and fixed points in the space with a condition on symmetry. Our results
are generalized enough to contain many interesting results which are generalizations, extensions and analogs of
Banach Contraction Principle, Kannan fixed point Theorem and Jaggi fixed point Theorem in extended parametric
Ab-metric space and other lower spaces. We also apply our result to solve a system of integral equations for common
solution.