We initiate the notion of generalized MT-cyclic contraction mappings with respect to an
auxiliary function φ and investigate the existence of a best proximity point of such mappings …

In this paper, we establish some results regarding the existence of the solution to variational
inequality, optimization problem and elliptic boundary value problem in Hilbert spaces. Our …

We first introduce the concept of manageable functions and then prove some new existence
theorems related to approximate fixed point property for manageable functions and α …

In this note, we first introduce the concept of Caristi-type cyclic map and present a new
convergence theorem and a best proximity point theorem for Caristi-type cyclic maps. It …

The basic motivation of this paper is to extend, generalize, and improve several fundamental
results on the existence (and uniqueness) of coincidence points and fixed points for well …

In this paper, we first introduce the concept of MT− K condition. Some best proximity point
theorems for mappings satisfying MT− K condition instead of K-cyclic mappings are …

In this paper, we introduce a notion of weak $%\mathcal {MT} $-cyclic Kannan contractions
with respect to a $\mathcal {MT} $%-function $\varphi $ and then we shall prove some new …

The aim of this paper is to prove some best proximity point theorems for new classes of
cyclic mappings, called pointwise cyclic orbital contractions and asymptotic pointwise cyclic …

In this paper, we introduce the notions of proximal Berinde g-cyclic contractions of two non-
self-mappings and proximal Berinde g-contractions, called proximal Berinde g-cyclic …

In this paper, we introduce new types of Caristi fixed point theorem and Caristi-type cyclic
maps in a metric space with a partial order or a directed graph. These types of mappings are …