Best proximity point theorems for cyclic p-contractions with some consequences and applications

M Aslantas, H Sahin, I Altun - Nonlinear Analysis: Modelling and …, 2021 - zurnalai.vu.lt
In this paper, we introduce the concept of cyclic p-contraction pair for single-valued
mappings. Then we present some best proximity point results for such mappings defined on …

Best proximity point theorems for proximal b-cyclic contractions on b-metric spaces

M Aslantaş - Communications Faculty of Sciences University of …, 2021 - dergipark.org.tr
In this paper, we first introduce a new notion of the property (M_ {C}) to improve and
generalize the property (G_ {C}). After that, we present two new concepts, proximal b-cyclic …

THE EXISTENCE OF BEST PROXIMITY POINTS FOR GENERALIZED CYCLIC QUASI-CONTRACTIONS IN METRIC SPACES WITH THE UC AND ULTRAMETRIC …

A Safari-Hafshejani - Fixed Point Theory, 2022 - search.ebscohost.com
In this paper, in the setting of metric spaces we introduce the notions of generalized cyclic
quasi-contractions and the ultrametric property as an applied geometric concept. Then we …

Best proximity point theorems for proximal cyclic contractions

SS Basha, N Shahzad, C Vetro - Journal of Fixed Point Theory and …, 2017 - Springer
The purpose of this article is to compute a global minimizer of the function x ⟶ d (x, Tx) x⟶ d
(x, T x), where T is a proximal cyclic contraction in the framework of a best proximally …

Best proximity point theorems in the frameworks of fairly and proximally complete spaces

S Basha - Journal of Fixed Point Theory and Applications, 2017 - Springer
Let us contemplate the problem of solving the linear or non-linear equations of the form Tx=
gx T x= gx in the framework of metric space. When T is a non-self mapping and g is a self …

Iterative approximation to common best proximity points of proximally mean nonexpansive mappings in Banach spaces

V Pragadeeswarar, R Gopi - Afrika Matematika, 2021 - Springer
In this paper, we introduce the new class of mappings called proximally mean nonexpansive
mappings. Further, we construct the Ishikawa iteration scheme associated with two non-self …

A new best proximity point result with an application to nonlinear Fredholm integral equations

H Sahin - Mathematics, 2022 - mdpi.com
In the current paper, we first introduce a new class of contractions via a new notion called p-
cyclic contraction mapping by combining the ideas of cyclic contraction mapping and p …

Relative continuity, proximal boundedness and best proximity point theorems

SS Basha, N Shahzad… - … Functional Analysis and …, 2022 - Taylor & Francis
This articles discusses some properties of relatively continuous mappings, a natural
generalization of continuous mappings. Also, we introduce the notion of proximal …

Common best proximity point theorems: Global minimization of some real-valued multi-objective functions

S Sadiq Basha, N Shahzad - Journal of Fixed Point Theory and …, 2016 - Springer
Let us deliberate the question of computing a solution to the problems that can be articulated
as the simultaneous equations Sx= x S x= x and Tx= x T x= x in the framework of metric …

[PDF][PDF] Global best approximate solutions for set-valued cyclic α-F-contractions

N Hussain, I Iqbal - Journal of Nonlinear Sciences and …, 2017 - researchgate.net
In this paper, we introduce the concepts of multivalued cyclic α-F contraction and triangular α-
orbital admissible mappings. We use these concepts to find global best approximation …