Common Fixed Point Theorem in Partially Ordered "Equation missing" -Fuzzy Metric Spaces

Abstract

We introduce partially ordered L-fuzzy metric spaces and prove a common fixed point theorem in these spaces.

Multidimensional fixed point theorems in partially ordered complete metric spaces

“…After that many results appeared on coupled fixed point theory in different contexts (see e.g. [4,3,[5][6][7]). …”

Coupled common fixed point results in ordered G-metric spaces

“…Fixed point problems have also been considered in partially ordered probabilistic metric spaces [17], partially ordered G-metric spaces [8,39], partially ordered cone metric spaces [13,23,43], partially ordered fuzzy metric spaces [40] and partially ordered non-Archimedean fuzzy metric spaces [4,5].…”

Coupled coincidence point theorems under contractive conditions in partially ordered probabilistic metric spaces

“…Menger [4] introduced the notion of a probabilistic metric space in 1942 and since then the theory of probabilistic metric spaces has developed in many directions [5][6][7][8][9][10][11][12][13]. The idea of K. Menger was to use distribution functions instead of nonnegative real numbers as values of the metric.…”