[HTML][HTML] Fixed points of a new type of contractive mappings in complete metric spaces

D Wardowski - Fixed point theory and applications, 2012 - Springer
In the article, we introduce a new concept of contraction and prove a fixed point theorem
which generalizes Banach contraction principle in a different way than in the known results …

[HTML][HTML] Fixed point theorems for operators on partial metric spaces

E Karapınar, IM Erhan - Applied Mathematics Letters, 2011 - Elsevier
Fixed point theorems for operators on partial metric spaces - ScienceDirect Skip to main
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[HTML][HTML] Coupled fixed point results for (ψ, φ)-weakly contractive condition in ordered partial metric spaces

H Aydi, E Karapınar, W Shatanawi - Computers & Mathematics with …, 2011 - Elsevier
In this paper, we prove some coupled fixed point theorems involving a (ψ, φ)-weakly
contractive condition for mapping having the mixed monotone property in ordered partial …

A survey: F-contractions with related fixed point results

E Karapınar, A Fulga, RP Agarwal - Journal of Fixed Point Theory and …, 2020 - Springer
In this note, we aim to review the recent results on F-contractions, introduced by Wardowski.
After examining the fixed point results for such operators, we collect the sequent results in …

[HTML][HTML] Generalizations of Caristi Kirk's theorem on partial metric spaces

E Karapinar - Fixed Point Theory and Applications, 2011 - Springer
In this article, lower semi-continuous maps are used to generalize Cristi-Kirk's fixed point
theorem on partial metric spaces. First, we prove such a type of fixed point theorem in …

[HTML][HTML] Coupled fixed point theorems for mixed monotone mappings in ordered partial metric spaces

W Shatanawi, B Samet, M Abbas - Mathematical and Computer Modelling, 2012 - Elsevier
We establish coupled fixed point theorems for mixed monotone mappings satisfying
nonlinear contraction involving two altering distance functions in ordered partial metric …

Be careful on partial metric fixed point results

RH Haghi, S Rezapour, N Shahzad - Topology and its Applications, 2013 - Elsevier
Be careful on partial metric fixed point results Page 1 Topology and its Applications 160 (2013)
450–454 Contents lists available at SciVerse ScienceDirect Topology and its Applications …

[HTML][HTML] Fixed-point results for Meir–Keeler type contractions in partial metric spaces: A survey

E Karapınar, RP Agarwal, SS Yeşilkaya, C Wang - Mathematics, 2022 - mdpi.com
In this paper, we aim to review Meir–Keeler contraction mappings results on various abstract
spaces, in particular, on partial metric spaces, dislocated (metric-like) spaces, and M-metric …

Various generalizations of metric spaces and fixed point theorems

T Van An, N Van Dung, Z Kadelburg… - Revista de la Real …, 2015 - Springer
There have been many attempts to generalize the definition of a metric space in order to
obtain possibilities for more general fixed point results. In this paper, we give a survey of …

[HTML][HTML] Meir-Keeler ɑ-contractive fixed and common fixed point theorems

T Abdeljawad - Fixed point theory and applications, 2013 - Springer
Abstract Generalized Meir-Keeler α-contractive functions and pairs are introduced and their
fixed and common fixed point theorems are obtained. Also, the so-called generalized Meir …