We introduce a notion of a fixed ellipse to study the geometric properties of the set of
nonunique fixed points of a discontinuous self map and establish fixed ellipse theorems …

In this paper, we introduce the notions of α _ L^ ψ α L ψ-rational contractive and cyclic α _ L^
ψ α L ψ-rational contractive map**s and establish the existence and uniqueness of fixed …

In this article, a general contractive map** is presented and some fixed point results in
complete b-metric-like spaces are studied. The results obtained here extend and improve …

In this article, we introduce the notion of triple bipolar controlled metric space and prove
some new fixed point theorems on this space, reformulate the concept of α-admissible …

In this work, we establish some fixed point theorems by revisiting the notion of ψ-contractive
map** in Menger PM-spaces. One of our results (namely, Theorem 2.3) may be viewed as …

This paper investigates properties of convergence of distances of p‐cyclic contractions on
the union of the p subsets of an abstract set X defining probabilistic metric spaces and …

In this paper, by introducing multivalued (α, η)(α, η)–ψ ψ-contractive map**s, we obtain
new fixed point theorems for multivalued and single-valued map**s and also coupled …

The purpose of this paper is to prove that orbital continuity for a pair of self-map**s is a
necessary and sufficient condition for the existence and uniqueness of a common fixed point …

In this work, we initiate the notion of a fuzzy cyclic (α, β)-admissibility to establish some fixed
point results for contraction map**s involving a generalized simulation function in the …

The aim of this manuscript is to prove some fixed point results for non-linear set-valued
maps with new approach of (α∗, φM)-contraction in complete M-metric space. Also, we …