On coincidence and common fixed point theorems of eight self-maps satisfying an FM-contraction condition

On coincidence and common fixed point theorems of eight self-maps satisfying an FM-contraction condition

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In this paper, a new type of contraction for several self-mappings of a metric space, called FM-contraction, is introduced.This extends the one presented for a single map by Wardowski [Fixed points of a new type of contractive mappings in complete metric spaces, Fixed Point Theory Appl., 2012:94, 2012].

Coincidence and common fixed point of eight self mappings satisfying FM-contraction conditions are Lunch Bag established via common limit range property without exploiting the completeness of the space or the continuity of the involved maps.Coincidence and common Two-Piece sets fixed point of eight self-maps satisfying FM-contraction conditions via the common property (E.A.

) are also studied.Our results generalize, extend and improve the analogous recent results in the literature, and some examples are presented to justify the validity of our main results.