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 …

Partial Hausdorff metric and Nadlerʼs fixed point theorem on partial metric spaces

H Aydi, M Abbas, C Vetro - Topology and its Applications, 2012 - Elsevier
In this paper, we introduce the concept of a partial Hausdorff metric. We initiate study of fixed
point theory for multi-valued mappings on partial metric space using the partial Hausdorff …

Common fixed points of generalized contractions on partial metric spaces and an application

L Ćirić, B Samet, H Aydi, C Vetro - Applied Mathematics and Computation, 2011 - Elsevier
In this paper, common fixed point theorems for four mappings satisfying a generalized
nonlinear contraction type condition on partial metric spaces are proved. Presented …

On Banach fixed point theorems for partial metric spaces

O Valero - Applied General Topology, 2005 - polipapers.upv.es
In this paper we prove several generalizations of the Banach fixed point theorem for partial
metric spaces (in the sense of O'Neill) given in, obtaining as a particular case of our results …

[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 …

[HTML][HTML] Some new extensions of Banach's contraction principle to partial metric space

D Ilić, V Pavlović, V Rakočević - Applied Mathematics Letters, 2011 - Elsevier
In SG Matthews [SG Matthews, Partial metric topology, in: Proc. 8th Summer Conference on
General Topology and Applications, in: Ann. New York Acad. Sci., vol. 728, 1994, pp. 183 …

Recent developments in fixed point theory: theoretical foundations and real-world applications

M Younis, L Chen, D Singh - Recent Developments in Fixed-Point Theory, 2024 - Springer
This contributed book has a comprehensive collection of 17 carefully curated chapters that
delve into the latest advancements in fixed-point theory and its diverse applications. It …

[PDF][PDF] Some coupled fixed point results on partial metric spaces

H Aydi - arXiv preprint arXiv:1103.3772, 2011 - arxiv.org
arXiv:1103.3772v1 [math.GN] 19 Mar 2011 Page 1 arXiv:1103.3772v1 [math.GN] 19 Mar 2011
SOME COUPLED FIXED POINT RESULTS ON PARTIAL METRIC SPACES HASSEN AYDI …

A characterization of partial metrizability: domains are quantifiable

MP Schellekens - Theoretical Computer Science, 2003 - Elsevier
A characterization of partial metrizability is given which provides a partial solution to an open
problem stated by Künzi in the survey paper Non-symmetric Topology (in: Proceedings of …

[HTML][HTML] A generalized contraction principle with control functions on partial metric spaces

T Abdeljawad, E Karapınar, K Taş - Computers & Mathematics with …, 2012 - Elsevier
Partial metric spaces were introduced by Matthews in 1994 as a part of the study of
denotational semantics of data flow networks. In this article, we prove a generalized …