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 …

Coupled best proximity point theorem in metric spaces

W Sintunavarat, P Kumam - Fixed Point Theory and Applications, 2012 - Springer
In this article the concept of coupled best proximity point and cyclic contraction pair are
introduced and then we study the existence and convergence of these points in metric …

Remarks on some coupled fixed point theorems in G-metric spaces

RP Agarwal, E Karapınar - Fixed Point Theory and Applications, 2013 - Springer
In this paper, we show that, unexpectedly, most of the coupled fixed point theorems in the
context of (ordered) G-metric spaces are in fact immediate consequences of usual fixed …

[PDF][PDF] On common fixed points for (α, ψ)-contractions and generalized cyclic contractions in b-metric-like spaces and consequences

A FELHI, S SAHMIM, H AYDI - 2016 - emis.de
In this paper, using the concept of α-admissible pairs of map**s, we prove several
common fixed point results in the setting of b-metric-like spaces. We also introduce the …

Best proximity points for Geraghty's proximal contraction map**s

C Mongkolkeha, YJ Cho, P Kumam - Fixed Point Theory and Applications, 2013 - Springer
In this paper, we generalized the notion of proximal contractions of the first and second kinds
by using Geraghty's theorem and establish best proximity point theorems for proximal …

Best proximity points for generalized proximal C-contraction map**s in metric spaces with partial orders

C Mongkolkeha, YJ Cho, P Kumam - Journal of Inequalities and …, 2013 - Springer
In this paper we extend the notion of weakly C-contraction map**s to the case of non-self
map**s and establish the best proximity point theorems for this class. Our results …

Best proximity point theorems for rational proximal contractions

HK Nashine, P Kumam, C Vetro - Fixed Point Theory and Applications, 2013 - Springer
We provide sufficient conditions which warrant the existence and uniqueness of the best
proximity point for two new types of contractions in the setting of metric spaces. The …

Best Proximity Point Results for Modified αψ‐Proximal Rational Contractions

N Hussain, MA Kutbi, P Salimi - Abstract and Applied Analysis, 2013 - Wiley Online Library
We first introduce certain new concepts of α‐η‐proximal admissible and α‐η‐ψ‐rational
proximal contractions of the first and second kinds. Then we establish certain best proximity …

Best Proximity Point for αψ‐Proximal Contractive Multimaps

MU Ali, T Kamran, N Shahzad - Abstract and Applied Analysis, 2014 - Wiley Online Library
We extend the notions of α‐ψ‐proximal contraction and α‐proximal admissibility to
multivalued maps and then using these notions we obtain some best proximity point …

Connecting various types of cyclic contractions and contractive self-map**s with Hardy-Rogers self-map**s

PS Kumari, D Panthi - Fixed Point Theory and Applications, 2016 - Springer
Connecting various types of cyclic contractions and contractive self-map**s with Hardy-Rogers
self-map**s | Fixed Point Theory and Algorithms for Sciences and Engineering Skip to …