Fixed Point Results for Generalized Weakly C- contractive Mappings in Ordered G-partial Metric Spaces

2016 ◽  
Vol 12 (1) ◽  
pp. 1-11 ◽  
Author(s):  
Kanayo Eke
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Partial Metric ◽  
Contractive Mappings ◽  
Partial Metric Spaces

scholarly journals Fixed Points for Weakα-ψ-Contractions in Partial Metric Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Poom Kumam ◽  
Calogero Vetro ◽  
Francesca Vetro
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Metric Spaces ◽  
Partial Metric ◽  
Complete Metric Spaces ◽  
Contractive Mappings ◽  
Partial Metric Spaces

Recently, Samet et al. (2012) introduced the notion ofα-ψ-contractive mappings and established some fixed point results in the setting of complete metric spaces. In this paper, we introduce the notion of weakα-ψ-contractive mappings and give fixed point results for this class of mappings in the setting of partial metric spaces. Also, we deduce fixed point results in ordered partial metric spaces. Our results extend and generalize the results of Samet et al.

scholarly journals Fixed Point Theorems for Geraghty Type Contractive Mappings and Coupled Fixed Point Results in 0-Complete Ordered Partial Metric Spaces

2016 ◽  
Vol 2016 ◽  
pp. 1-5
Author(s):  
Esra Yolacan
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Partial Metric ◽  
Contractive Mappings ◽  
Partial Metric Spaces ◽  
Banach Contraction

We establish new fixed point theorems in 0-complete ordered partial metric spaces. Also, we give remark on coupled generalized Banach contraction. Some examples illustrate the usability of our results. The theorems presented in this paper are generalizations and improvements of the several well known results in the literature.

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.

scholarly journals Unique Fixed Point Theorems for Generalized Contractive Mappings in Partial Metric Spaces

2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Lakshmi Narayan Mishra ◽  
Shiv Kant Tiwari ◽  
Vishnu Narayan Mishra ◽  
Idrees A. Khan
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Unique Fixed Point ◽  
Distance Functions ◽  
Partial Metric ◽  
Contractive Mappings ◽  
Altering Distance ◽  
Partial Metric Spaces

We establish some unique fixed point theorems in complete partial metric spaces for generalized weaklyS-contractive mappings, containing two altering distance functions under certain assumptions. Also, we discuss some examples in support of our main results.

scholarly journals Fixed Point Results of Locally Contractive Mappings in Ordered Quasi-Partial Metric Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Abdullah Shoaib ◽  
Muhammad Arshad ◽  
Jamshaid Ahmad
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Metric Space ◽  
Metric Spaces ◽  
Monotone Mapping ◽  
Partial Metric Space ◽  
Closed Ball ◽  
Partial Metric ◽  
Contractive Mappings ◽  
Partial Metric Spaces

Fixed point results for a self-map satisfying locally contractive conditions on a closed ball in an ordered 0-complete quasi-partial metric space have been established. Instead of monotone mapping, the notion of dominated mappings is applied. We have used weaker metric, weaker contractive conditions, and weaker restrictions to obtain unique fixed points. An example is given which shows that how this result can be used when the corresponding results cannot. Our results generalize, extend, and improve several well-known conventional results.

scholarly journals FIXED POINT THEOREMS FOR GENERALIZED WEAKLY S-CONTRACTIVE MAPPINGS IN PARTIAL METRIC SPACES

2015 ◽  
Vol 5 (4) ◽  
pp. 600-612
Author(s):  
Lakshmi Narayan Mishra ◽  
◽  
Shiv Kant Tiwari ◽  
Vishnu Narayan Mishra ◽  
◽  
...  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Partial Metric ◽  
Contractive Mappings ◽  
Partial Metric Spaces

scholarly journals Fixed Points forψ-Graphic Contractions with Application to Integral Equations

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
N. Hussain ◽  
S. Al-Mezel ◽  
P. Salimi
Keyword(s):  
Integral Equation ◽  
Fixed Point ◽  
Fixed Points ◽  
Integral Equations ◽  
Metric Spaces ◽  
Partial Metric ◽  
Contractive Mappings ◽  
Partial Metric Spaces

The aim of this paper is to define modified weakα-ψ-contractive mappings and to establish fixed point results for such mappings defined on partial metric spaces using the notion of triangularα-admissibility. As an application, we prove new fixed point results for graphic weakψ-contractive mappings. Moreover, some examples and an application to integral equation are given here to illustrate the usability of the obtained results.

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