scholarly journals Coupled Fixed Points for Meir-Keeler Contractions in Ordered Partial Metric Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-20 ◽  
Author(s):  
Thabet Abdeljawad ◽  
Hassen Aydi ◽  
Erdal Karapınar
Keyword(s):  
Fixed Point ◽  
Existence And Uniqueness ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Partial Metric Space ◽  
Partial Metric ◽  
Coupled Fixed Point Theorem ◽  
Partial Metric Spaces ◽  
Ordered Partial Metric Space ◽  
Coupled Fixed Points

In this paper, we prove the existence and uniqueness of a new Meir-Keeler type coupled fixed point theorem for two mappingsF:X×X→Xandg:X→Xon a partially ordered partial metric space. We present an application to illustrate our obtained results. Further, we remark that the metric case of our results proved recently in Gordji et al. (2012) have gaps. Therefore, our results revise and generalize some of those presented in Gordji et al. (2012).

scholarly journals Fixed point theorems in partial metric spaces with an application

Filomat ◽  
2013 ◽  
Vol 27 (4) ◽  
pp. 617-624
Author(s):  
H.P. Masiha ◽  
F. Sabetghadam ◽  
N. Shahzad
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Partial Metric Space ◽  
Partial Metric ◽  
Fractional Boundary Value Problem ◽  
Partial Metric Spaces ◽  
Contractive Type ◽  
Ordered Partial Metric Space ◽  
Weakly Contractive

Matthews [12] introduced a new distance P on a nonempty set X, which he called a partial metric. The purpose of this paper is to present some fixed point results for weakly contractive type mappings in ordered partial metric space. An application to nonlinear fractional boundary value problem is also presented.

scholarly journals Coupled Fixed Point Theorems for Nonlinear Contractions in Partial Metric Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-13
Author(s):  
Sharifa Al-Sharif ◽  
Mohammad Al-Khaleel ◽  
Mona Khandaqji
Keyword(s):  
Fixed Point ◽  
Existence And Uniqueness ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Partial Metric ◽  
Partial Metric Spaces ◽  
Nonlinear Contractions

We establish some results on the existence and uniqueness of coupled fixed point involving nonlinear contractive conditions in complete-ordered partial metric spaces.

scholarly journals ON COMMON FIXED POINTS THEOREMS FOR ORDERED $F$-CONTRACTIONS WITH APPLICATION

2018 ◽  
pp. 125
Author(s):  
Muhammad Nazam ◽  
Ozlem Acar
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Spaces ◽  
Partial Metric Space ◽  
Common Fixed Points ◽  
Contractive Condition ◽  
Partial Metric ◽  
Common Solution ◽  
Partial Metric Spaces ◽  
Ordered Partial Metric Space

We study the conditions for existence of a unique common fixed point of ordered $F$-contractions defined on an ordered partial metric space; in particular, we present a common fixed point result for a pair of ordered $F$-contractions satisfying a generalized rational type contractive condition and discuss its consequences. It is remarked that the notion of an $F$-contraction in partial metric spaces is more general than that in metric spaces. As application of our findings, we demonstrate the existence of common solution of the system of Volterra type integral equations.

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.

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.

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