Edelstein type fixed point theorems

E Karapınar - Fixed Point Theory and Applications, 2012 - Springer
In this manuscript, we investigate certain conditions that imply the existence of fixed points
for almost contraction mappings defined on compact metric spaces. Furthermore we …

On α-ψ-Meir-Keeler contractive mappings

E Karapınar, P Kumam, P Salimi - Fixed Point Theory and Applications, 2013 - Springer
In this paper, we introduce the notion of α-ψ-Meir-Keeler contractive mappings via a
triangular α-admissible mapping. We discuss the existence and uniqueness of a fixed point …

[图书][B] Fixed point theory in metric type spaces

RP Agarwal, E Karapınar, D O'Regan… - 2015 - Springer
Fixed-point theory is one of the major research areas in nonlinear analysis. This is partly due
to the fact that in many real-world problems, fixed-point theory is the basic mathematical tool …

Generalized enriched cyclic contractions with application to generalized iterated function system

M Abbas, R Anjum, H Iqbal - Chaos, Solitons & Fractals, 2022 - Elsevier
The purpose of this article is to initiate a new class of cyclic contraction mappings and
establish a related fixed point theorem in the framework of a Banach space. To approximate …

Dislocated metric space to metric spaces with some fixed point theorems

E Karapınar, P Salimi - Fixed point theory and applications, 2013 - Springer
In this paper, we notice the notions metric-like space and dislocated metric space are exactly
the same. After this historical remark, we discuss the existence and uniqueness of a fixed …

Fixed point theory for cyclic generalized contractions in partial metric spaces

RP Agarwal, MA Alghamdi, N Shahzad - Fixed Point Theory and …, 2012 - Springer
Fixed point theory for cyclic generalized contractions in partial metric spaces | Fixed Point
Theory and Algorithms for Sciences and Engineering Skip to main content SpringerLink …

[HTML][HTML] Fixed points for generalized weakly contractive mappings in partial metric spaces

T Abdeljawad - Mathematical and Computer Modelling, 2011 - Elsevier
Partial metric spaces were introduced by SG Matthews in 1994 as a part of the study of
denotational semantics of dataflow networks. In this article, we prove fixed point theorems for …

[PDF][PDF] Fixed point results for generalized α-ψ-contractions in metric-like spaces and applications

H Aydi, E Karapinar - Electronic Journal of Differential …, 2015 - ejde.math.txstate.edu
In this article, we introduce the concept of generalized α-ψ-contraction in the context of
metric-like spaces and establish some related fixed point theorems. As consequences, we …

[HTML][HTML] Best proximity points of cyclic mappings

E Karapınar - Applied Mathematics Letters, 2012 - Elsevier
In this manuscript, we proved that the existence of best proximity points for the cyclic
operators T defined on a union of subsets A, B of a uniformly convex Banach space X with T …

Fixed point theory for cyclic (ϕ - ψ)-contractions

E Karapinar, K Sadarangani - Fixed Point Theory and Applications, 2011 - Springer
In this article, the concept of cyclic (ϕ-ψ)-contraction and a fixed point theorem for this type of
mappings in the context of complete metric spaces have been presented. The results of this …