Common fixed point theorems for three pairs of self-mappings satisfying the common ( E . A ) $(E.A)$ property in Menger probabilistic G-metric spaces

Abstract

In this paper, we generalize the algebraic sum ⊕ of Fang. Based on this concept, we prove some common fixed point theorems for three pairs of self-mappings satisfying the common (E.A) property in Menger PGM-spaces. Finally, an example is given to exemplify our main results.

Some fixed point theorems of $\lambda$-contractive mappings in Menger PSM-spaces

“…In 2014, Zhou et al [9] defined a generalized metric space, which is now called the Menger probabilistic G-metric space (briefly, Menger PGM-space) as a generalized of the PM-space and the G-metric space, and they also obtained some fixed point theorems. After that, Zhu, Tu and Wu [10,11] obtained some common fixed point theorems under the condition of the φcontraction and weak compatible mappings. In 2015, Hasanvand and Khanehgir [12] introduced the Menger probabilistic b-metric space (briefly, Menger PbM-space), and established some interesting fixed point theorems.…”