scholarly journals A local fixed point theorem for set-valued mappings on partial metric spaces

2016 ◽  
Vol 17 (1) ◽  
pp. 37 ◽  
Author(s):  
Abdessalem Benterki
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fixed Points ◽  
Point Theorem ◽  
Metric Spaces ◽  
Partial Metric ◽  
Partial Metric Spaces ◽  
Gauge Functions ◽  
Contractive Type ◽  
Set Valued Mappings

The purpose of this paper is to study the existence and location of fixed points for pseudo-contractive-type set-valued mappings in the setting of partial metric spaces by using Bianchini-Grundolfi gauge functions.

scholarly journals FIXED POINTS FOR TWO PAIRS OF ABSORBING MAPPINGS IN WEAK PARTIAL METRIC SPACES

2020 ◽  
pp. 283
Author(s):  
Valeriu Popa ◽  
Alina-Mihaela Patriciu
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fixed Points ◽  
Point Theorem ◽  
Metric Space ◽  
Metric Spaces ◽  
Partial Metric Space ◽  
Partial Metric ◽  
Partial Metric Spaces

In this paper, a general fixed point theorem for two pairs of absorbing mappings in weak partial metric space, using implicit relations, has been proved.

Fixed points of set-valued contractions in partial metric spaces endowed with a graph

2014 ◽  
Vol 30 (2) ◽  
pp. 129-137
Author(s):  
MUJAHID ABBAS ◽  
◽  
BASIT ALI ◽  
GABRIELA PETRUSEL ◽  
◽  
...  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fixed Points ◽  
Metric Spaces ◽  
Hausdorff Metric ◽  
Partial Metric ◽  
Nadler’S Fixed Point Theorem ◽  
Partial Metric Spaces ◽  
Partial Hausdorff Metric ◽  
Set Valued Mappings

Hassen, Abbas and Vetro [H. Aydi, M. Abbas and C. Vetro, Partial Hausdorff metric and Nadler’s fixed point theorem on partial metric spaces, Topology and its App., 159 (2012), 3234–3242] introduced the concept of a partial Hausdorff-Pompeiu metric and proved Nadler’s theorem in this context. Employing the notion of a partial Hausdorff-Pompeiu metric, we investigate the existence of fixed points of set-valued mappings on partial metric spaces endowed with a graph. Our results extend some recent theorems in the literature.

A general fixed point theorem for a pair of multi-valued mappings in partial metric spaces

2016 ◽  
Vol 56 (1) ◽  
pp. 129-141
Author(s):  
Valeriu Popa
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Partial Metric ◽  
Implicit Relation ◽  
Partial Metric Spaces ◽  
New Type

AbstractThe purpose of this paper is to prove a general fixed point theorem for a pair of multi-valued mappings satisfying a new type of implicit relation in partial metric spaces, which generalizes Theorem 2.2 [4], Theorem 3.1 [3], Theorem 3.2 [7], Corollary 2.3 [4], Theorem 2.8 [16] and obtain other particular results.

scholarly journals Suzuki-Type Generalization of Chatterjea Contraction Mappings on Complete Partial Metric Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-5
Author(s):  
Mohammad Imdad ◽  
Ali Erduran
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Partial Metric ◽  
Contraction Mappings ◽  
Partial Metric Spaces

Motivated by Suzuki (2008), we prove a Suzuki-type fixed point theorem employing Chatterjea contraction on partial metric spaces.

scholarly journals Some generalizations of Caristi type fixed point theorem on partial metric spaces

Filomat ◽  
2012 ◽  
Vol 26 (4) ◽  
pp. 833-837 ◽  
Author(s):  
Özlem Acar ◽  
Ishak Altun
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Metric Spaces ◽  
Partial Metric Space ◽  
Partial Metric ◽  
Partial Metric Spaces

In the persent paper, we give Bae and Suzuki type generalizations of Caristi?s fixed point theorem on partial metric space.

Sign in / Sign up

Export Citation Format

Share Document