Recently, Azam et al. introduced new spaces called the complex valued metric spaces and
established the existence of fixed point theorems under the contraction condition. In this …

In this article the concept of coupled best proximity point and cyclic contraction pair are
introduced and then we study the existence and convergence of these points in metric …

In this paper, we show the existence of a coupled fixed point theorem of nonlinear
contraction map**s in complete metric spaces without the mixed monotone property and …

In this paper, we define the concepts of ϕ-contraction and point-wise Φ-contraction in
modular metric space. Next we give some conditions that guarantee the existence and …

In this paper, we generalized the notion of proximal contractions of the first and second kinds
by using Geraghty's theorem and establish best proximity point theorems for proximal …

In this paper, we define the modular b-metric space with some new notions and prove
Banach fixed point theorem and its two generalizations for the new space. At the end of the …

Coupled fixed point results for nonlinear contraction map**s having a mixed monotone
property in a partially ordered G-metric space due to Choudhury and Maity are extended …

In this article, we prove some fixed point theorems of Geraghty-type concerning the
existence and uniqueness of fixed points under the setting of modular metric spaces. Also …

Banach's contraction map** principle is remarkable in its simplicity, yet it is perhaps the
most widely applied fixed point theorem in all of analysis with special applications to the …

We prove some theorems on the existence and uniqueness of fixed point for Reich-type
contraction map**s and Geraghty-type map**s satisfying rational inequalities in …