Common Fixed Point Theorems for Weak Contraction Mapping of Integral Type in Modular Spaces

Abstract

In this paper, we prove three common fixed point theorems for weak contraction map- pings of integral type in modular spaces. In the first theorem we prove a common fixed point of ρ−compatible mappings satisfying a (φ − Ψ)−weak contraction. The second theorem is another version of the first theorem. In the third theorem we study a common fixed point of ρ−compatible mappings in modular spaces involving altering distances of integral type. The results extended several similar results in metric and Banach spaces.