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

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

Applications and common coupled fixed point results in ordered partial metric spaces

Abstract In this paper, we obtain a unique common coupled fixed point theorem by using ( ψ , α , β ) $(\psi , \alpha , \beta )$ -contraction in ordered partial metric spaces. We give an application to integral equations as well as homotopy theory. Also we furnish an example which supports our theorem