scholarly journals Generalized cyclic contractions and coincidence points involving a control function on partial metric spaces

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Sushanta Kumar Mohanta
Keyword(s):  
Metric Spaces ◽  
Control Function ◽  
Theoretical Method ◽  
Common Fixed Points ◽  
Partial Metric ◽  
Coincidence Points ◽  
Content Type ◽  
Cyclic Representation ◽  
Partial Metric Spaces ◽  
Cyclic Contractions

PurposeIn this paper, we use the notion of cyclic representation of a nonempty set with respect to a pair of mappings to obtain coincidence points and common fixed points for a pair of self-mappings satisfying some generalized contraction- type conditions involving a control function in partial metric spaces. Moreover, we provide some examples to analyze and illustrate our main results.Design/methodology/approachTheoretical method.FindingsWe establish some coincidence points and common fixed point results in partial metric spaces.Originality/valueResults of this study are new and interesting.

scholarly journals Cyclic Contractions and Fixed Point Results via Control Functions on Partial Metric Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Hemant Kumar Nashine ◽  
Zoran Kadelburg
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Control Function ◽  
Partial Metric ◽  
Control Functions ◽  
Partial Metric Spaces ◽  
Cyclic Contractions ◽  
Type Contraction

Cyclic weaker-type contraction conditions involving a generalized control function (with two variables) are used for mappings on 0-complete partial metric spaces to obtain fixed point results, thus generalizing several known results. Various examples are presented showing how the obtained theorems can be used and that they are proper extensions of the known ones.

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

2011 ◽  
Vol 218 (6) ◽  
pp. 2398-2406 ◽  
Author(s):  
Ljubomir Ćirić ◽  
Bessem Samet ◽  
Hassen Aydi ◽  
Calogero Vetro
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Partial Metric ◽  
Partial Metric Spaces

scholarly journals Common fixed points for four non-self mappings in partial metric spaces

2018 ◽  
Vol 145 (1) ◽  
pp. 45-63
Author(s):  
Terentius Rugumisa ◽  
Santosh Kumar ◽  
Mohammad Imdad
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Partial Metric ◽  
Partial Metric Spaces

scholarly journals Common fixed point results for generalized (ψ,β)-geraghty contraction type mapping in partially ordered metric-like spaces with application

Filomat ◽  
2017 ◽  
Vol 31 (17) ◽  
pp. 5497-5509 ◽  
Author(s):  
Habes Alsamir ◽  
Mohd Noorani ◽  
Wasfi Shatanawi ◽  
Kamal Abodyah
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Metric Spaces ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Common Fixed Points ◽  
Partial Metric ◽  
Partially Ordered ◽  
Partial Metric Spaces ◽  
Contraction Type

Harandi [A. A. Harandi, Metric-like spaces, partial metric spaces and fixed points, Fixed Point Theory Appl., 2012 (2012), 10 pages] introduced the notion of metric-like spaces as a generalization of partial metric spaces and studied some fixed point theorems in the context of the metric-like spaces. In this paper, we utilize the notion of the metric-like spaces to introduce and prove some common fixed points theorems for mappings satisfying nonlinear contractive conditions in partially ordered metric-like spaces. Also, we introduce an example and an application to support our work. Our results extend and modify some recent results in the literature.

scholarly journals Coupled Coincidence Points of Mappings in Ordered Partial Metric Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-18 ◽  
Author(s):  
Zorana Golubović ◽  
Zoran Kadelburg ◽  
Stojan Radenović
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Coupled Fixed Point ◽  
Coupled Coincidence Point ◽  
Partial Metric ◽  
Coincidence Points ◽  
Coupled Coincidence Points ◽  
Partial Metric Spaces ◽  
Coupled Coincidence

New coupled coincidence point and coupled fixed point results in ordered partial metric spaces under the contractive conditions of Geraghty, Rakotch, and Branciari types are obtained. Examples show that these results are distinct from the known ones.

scholarly journals A Fixed Point Result for Boyd-Wong Cyclic Contractions in Partial Metric Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
Hassen Aydi ◽  
Erdal Karapinar
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Partial Metric ◽  
Fixed Point Result ◽  
Partial Metric Spaces ◽  
Cyclic Contractions

A fixed point theorem involving Boyd-Wong-type cyclic contractions in partial metric spaces is proved. We also provide examples to support the concepts and results presented herein.

Fixed point results for F𝓡-generalized contractive mappings in partial metric spaces

2019 ◽  
Vol 69 (6) ◽  
pp. 1413-1424
Author(s):  
Ishak Altun ◽  
Mohammad Asim ◽  
Mohammad Imdad ◽  
Waleed M. Alfaqih
Keyword(s):  
Fixed Point ◽  
Binary Relation ◽  
Metric Spaces ◽  
Partial Metric ◽  
Contractivity Condition ◽  
Contractive Mappings ◽  
Fixed Point Result ◽  
Partial Metric Spaces ◽  
Cyclic Contractions

Abstract In this paper, we consider F𝓡-generalized contractivity condition and utilized the same to establish some fixed point results for a self-mapping in partial metric spaces endowed with an amorphous binary relation. Our results generalize several core results of the existing literature. We also furnish some examples to exhibit the utility of our results. Finally, we further deduce fixed point result for cyclic contractions in partial metric spaces.

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