A coincidence point result in Menger spaces using a control function

Kannan-type cyclic contraction results in 2-Menger space

“…This concept also applies to coincidence point problems. Some recent results using Φ-function are noted in [3], [9], [10], [12] and [29].…”

New multipled common fixed point theorems in Menger PMT-spaces

“…Recently, Choudhury and Das [5] gave a generalized unique fixed point theorem by using an altering distance function which was originally introduced by Khan et al [9]. This extension of altering distance function is called φ-function, and has been further used in many related literatures [6,13,19]. Dutta et al [7] defined nonlinear generalized contractive type mapping involving ψ-contractive mapping and proved their theorems for such kind of mapping in the setting of G-complete Menger PM-spaces.…”

Some new fixed point theorems in generalized probabilistic metric spaces

“…Recently, Choudhury and Das [2] gave a generalized unique fixed point theorem by using an altering distance function which was originally introduced by Khan et al [7]. This extension of altering distance function is called φ-function, and has been further used in many related literatures [3,10].…”