Fixed point theorems in Menger spaces with an application to metric spaces

Abstract

Recently Fang [19] dened and used the algebraic sum in Menger spaces and proved the common fixed point theorems. Clubbing this concept of algebraic sum, some common fixed point theorems satisfying contractive conditions using occasionally weakly compatible maps for rational terms in Menger spaces are obtained. This idea give rise to new xed point theorems in the setting of similar abstract spaces. Our result partially generalize many results in existing literature.