Nonlinear contractive and nonlinear compatible type mappings in Menger probabilistic metric spaces

Abstract

In this paper some new fixed point theorems for nonlinear contractive type and nonlinear compatible type mapping in complete Menger probabilistic metric spaces are proved. MSC: 54E40; 54E35; 54H25

Common fixed point theorems under strict contractive conditions in Menger probabilistic G-metric spaces

“…The concept of weakly compatible mappings was given by [14]. On the other hand, the concept of compatible mappings in Menger spaces was initiated by Mishra [18], and since then many fixed point results for compatible mappings and weakly compatible mappings have been studied [8,16,24,25]. The concept of noncompatible mappings was introduced and studied by Pant [20,21,22].…”