Some applications via fixed point results in partially ordered S b $S_{b}$ -metric spaces

Abstract

Abstract In this paper we give some applications to integral equations as well as homotopy theory via fixed point theorems in partially ordered complete S b $S_{b}$ -metric spaces by using generalized contractive conditions. We also furnish an example which supports our main result.

Keywords

• S b $S_{b}$ -metric space
• w-compatible pairs
• S b $S_{b}$ -completeness