Fixed point results for generalized -Meir-Keeler contractive mappings and applications

A Latif, ME Gordji, E Karapınar… - Journal of Inequalities and …, 2014 - Springer
In this paper, we introduce a new type of a generalized-(α, ψ)-Meir-Keeler contractive
mapping and establish some interesting theorems on the existence of fixed points for such …

Best proximity points of generalized almost ψ-Geraghty contractive non-self-mappings

H Aydi, E Karapınar, IM Erhan, P Salimi - Fixed Point Theory and …, 2014 - Springer
In this paper, we introduce the new notion of almost ψ-Geraghty contractive mappings and
investigate the existence of a best proximity point for such mappings in complete metric …

[PDF][PDF] Tripled best proximity point theorem in metric spaces

YJ Cho, A Gupta, E Karapinar, P Kumam… - Math. Inequal …, 2013 - researchgate.net
The purpose of this article is to first introduce the notion of tripled best proximity point and
cyclic contraction pair. We also establish the existence and convergence theorems of tripled …

A Coincidence Best Proximity Point Problem in G‐Metric Spaces

M Abbas, A Hussain, P Kumam - Abstract and Applied Analysis, 2015 - Wiley Online Library
The aim of this paper is to initiate the study of coincidence best proximity point problem in
the setup of generalized metric spaces. Some results dealing with existence and …

[PDF][PDF] Fixed point theorems for Meir-Keeler condensing operators in partially ordered Banach spaces

N Wairojjana, MS Abdullahi, N Pakkaranang - Thai J. Math, 2019 - researchgate.net
FIXED POINT THEOREMS FOR MEIR-KEELER CONDENSING OPERATORS IN
PARTIALLY ORDERED BANACH SPACES Page 1 ISSN 1686-0209 Thai Journal of …

On Existence and Uniqueness of g‐Best Proximity Points under (φ, θ, α, g)‐Contractivity Conditions and Consequences

P Kumam… - Abstract and Applied …, 2014 - Wiley Online Library
We collect, improve, and generalize very recent results due to Mongkolkeha et al.(2014) in
three directions: firstly, we study g‐best proximity points; secondly, we employ more general …

A characterization of weak proximal normal structure and best proximity pairs

A Digar, RE García, GSR Kosuru - Revista de la Real Academia de …, 2022 - Springer
The aim of this paper is to address an open problem given in [Kirk et al. in J Math Anal Appl
463: 461–476,(2018)]. We give a characterization of weak proximal normal structure using …

[PDF][PDF] Fixed point theorems for several types of Meir-Keeler contraction mappings in Ms-metric spaces

M Zhou, X Liu, B Damjanovic, AH Ansari - J. Comput. Anal. Appl, 2018 - researchgate.net
In this paper, we first introduce several types of Meir-Keeler contractive mappings in the
structure of MS− metric spaces. Then we study some existence and uniqueness fixed point …

The existence and uniqueness of coupled best proximity point for proximally coupled contraction in a complete ordered metric space

V Pragadeeswarar, M Marudai… - Abstract and Applied …, 2014 - Wiley Online Library
The Existence and Uniqueness of Coupled Best Proximity Point for Proximally Coupled
Contraction in a Complete Ordered Metric Space - Pragadeeswarar - 2014 - Abstract and …

A Best Proximity Point Theorem for Generalized Geraghty–Suzuki Contractions

P Salimi, P Vetro - Bulletin of the Malaysian Mathematical Sciences …, 2016 - Springer
We give a new type of contractive condition that ensures the existence and uniqueness of
fixed points and best proximity points in complete metric spaces. We provide an example to …