A common fixed point of generalized (ψ, ϕ)-weakly contractive maps where ϕ is nondecreasing (not necessarily continuous or lower semicontinuous)

Abstract

In this paper, we introduce generalized (ψ, ϕ) - weakly contractive condition for four selfmaps in which ψ is continuous and nondecreasing and ϕ is nondecreasing but not necessarily either continuous or lower semicontinuous, and we prove a common fixed point result for four selfmaps in a complete metric space. An example is given in support of the main result of the paper.