In this article, we investigate the existence and uniqueness of a solution for the fractional
differential equation by introducing some new coupled fixed point theorems for the class of …

In this note, we aim to review the recent results on F-contractions, introduced by Wardowski.
After examining the fixed point results for such operators, we collect the sequent results in …

In this paper, we investigate the existence of a unique coupled fixed point for α− admissible
map** which is of F (ψ1, ψ2)− contraction in the context of M− metric space. We have also …

We show that some definitions of multidimensional coincidence points are not compatible
with the mixed monotone property. Thus, some theorems reported in the recent publications …

In this paper, we prove common coupled fixed point theorems under a Geraghty-type
condition using monotone instead of the often used mixed monotone property. Also we give …

In this paper, employing a new concept of generalized compatibility of a pair of map**s
defined on a product space, certain coupled coincidence point results of map**s involved …

The fixed point theory is one of the major research areas in nonlinear functional analysis, as
well as topology and applied mathematics. Indeed, a fixed point problem is very simple to …

After the appearance of Ran and Reuring's theorem and Nieto and Rodríguez-López's
theorem, the field of fixed point theory applied to partially ordered metric spaces has …

In this manuscript, owing to the concept of orthogonal coupled contraction map**s type I
and II, we prove coupled fixed point theorem in orthogonal metric spaces. In order to …

Very recently, Roldán-López-de-Hierro and Shahzad introduced the notion of R-contractions
as an extension of several notions given by different researchers (for instance, R …