scholarly journals Fixed point results for generalized cyclic contraction mappings in partial metric spaces

2011 ◽  
Vol 106 (2) ◽  
pp. 287-297 ◽  
Author(s):  
M. Abbas ◽  
T. Nazir ◽  
S. Romaguera
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Partial Metric ◽  
Cyclic Contraction ◽  
Contraction Mappings ◽  
Partial Metric Spaces ◽  
Cyclic Contraction Mappings

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 On some fixed point theorems for multivalued F-contractions in partial metric spaces

2021 ◽  
Vol 54 (1) ◽  
pp. 151-161
Author(s):  
Santosh Kumar ◽  
Sholastica Luambano
Keyword(s):  
Integral Equation ◽  
Fixed Point ◽  
Fixed Points ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Partial Metric ◽  
Existence Of A Solution ◽  
Contraction Mappings ◽  
Complete Metric Spaces ◽  
Partial Metric Spaces

Abstract Altun et al. explored the existence of fixed points for multivalued F F -contractions and proved some fixed point theorems in complete metric spaces. This paper extended the results of Altun et al. in partial metric spaces and proved fixed point theorems for multivalued F F -contraction mappings. Some illustrative examples are provided to support our results. Moreover, an application for the existence of a solution of an integral equation is also enunciated, showing the materiality of the obtained results.

scholarly journals Some Fixed Point Results of Ciric-Type Contraction Mappings on Ordered <i>G</i>-Partial Metric Spaces

2014 ◽  
Vol 05 (06) ◽  
pp. 1004-1012 ◽  
Author(s):  
Johnson O. Olaleru ◽  
Kanayo Stella Eke ◽  
Hallowed O. Olaoluwa
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Partial Metric ◽  
Contraction Mappings ◽  
Partial Metric Spaces ◽  
Type Contraction

scholarly journals (CLR)-PROPERTY ON QUASI-PARTIAL METRIC SPACES AND RELATED FIXED POINT THEOREMS

2019 ◽  
pp. 415
Author(s):  
Mohamed A. Barakat ◽  
Hassen Mohamed Aydi
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Partial Metric ◽  
Contraction Mappings ◽  
Partial Metric Spaces ◽  
Common Limit ◽  
Whole Space

In this paper, we initiate the concept of "common limit range" (CLR) property in theframework of quasi-partial metric spaces. By using this concept, some xed point theoremsinvolving two pairs of contraction mappings are proved without using the completenesscondition of the whole space. Our results extend some results in literature, as Nazir andAbbas [4] and Vetro et al. [7].

scholarly journals Some fixed point theorems for generalized (psi - phi)-weak contraction mappings in partial metric spaces

2020 ◽  
Vol 24 (2) ◽  
pp. 99-115
Author(s):  
G.S. Saluja
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Type A ◽  
Partial Metric ◽  
Weak Contraction ◽  
Contraction Mappings ◽  
Partial Metric Spaces

The aim of this paper is to introduce the concepts of generalized (psi - phi)-weak contraction mappings of type (A) and (B) and establish some fixed point theorems for said contraction mappings in complete partial metric spaces. Our results extend and generalize several results from the current existing literature.

scholarly journals Multivalued weak cyclic δ-contraction mappings

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Pulak Konar ◽  
Samir Kumar Bhandari ◽  
Sumit Chandok ◽  
Aiman Mukheimer
Keyword(s):  
Fixed Point ◽  
Distance Function ◽  
Metric Spaces ◽  
Multivalued Mappings ◽  
Cyclic Contraction ◽  
Contraction Mappings ◽  
Multivalued Contraction ◽  
New Type

AbstractIn this paper, we propose some new type of weak cyclic multivalued contraction mappings by generalizing the cyclic contraction using the δ-distance function. Several novel fixed point results are deduced for such class of weak cyclic multivalued mappings in the framework of metric spaces. Also, we construct some examples to validate the usability of the results. Various existing results of the literature are generalized.

scholarly journals Fixed Points of Geraghty-Type Mappings in Various Generalized Metric Spaces

2011 ◽  
Vol 2011 ◽  
pp. 1-13 ◽  
Author(s):  
Dušan Ðukić ◽  
Zoran Kadelburg ◽  
Stojan Radenović
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Partial Metric ◽  
Generalized Metric Spaces ◽  
Generalized Metric ◽  
Partial Metric Spaces ◽  
Type Spaces

Fixed point theorems for mappings satisfying Geraghty-type contractive conditions are proved in the frame of partial metric spaces, ordered partial metric spaces, and metric-type spaces. Examples are given showing that these results are proper extensions of the existing ones.

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