Common Fixed Points via Weakly $(\psi, S; C)$-Contraction Mappings on Ordered Metric Spaces and Application to Integral Equations

Hemant Kumar Nashine

Abstract

In this paper, two new concept of weakly (\psi; S; C)-contractive mappings and generalized weakly (\psi; S; C)-contractive mappings for a pairof maps in ordered metric space are designed and then establish common fixed point results on ordered complete metric spaces. To demonstrate our results, an example is given. At the same time as applications of the presented theorems, we get hold of common fixed point results for generalized contraction of integral type and we prove an existence theorem for solutions of a system of integral equations.