scholarly journals S ∗ p ‐ b -Partial Metric Spaces with some Results in Common Fixed Point Theorems

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
A. M. Zidan
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Partial Metric Space ◽  
Partial Metric ◽  
Topological Properties ◽  
Partial Metric Spaces ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem

In this paper, we introduce the notion of S ∗ P ‐ b -partial metric spaces which is a generalization each of S ‐ b -metric spaces and partial-metric space. Also, we study and prove some topological properties, to know the convergence of the sequences and Cauchy sequence. Finally, we study a new common fixed point theorem in these spaces.

scholarly journals New Contributions in Generalization S -Metric Spaces to S ∗ p -Partial Metric Spaces with Some Results in Common Fixed Point Theorems

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-8
Author(s):  
Asma Al Rwaily ◽  
A. M. Zidan
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Cauchy Sequence ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Partial Metric ◽  
Topological Properties ◽  
Partial Metric Spaces ◽  
Common Fixed Point Theorems

In this paper, we introduce the notion of S ∗ p -partial metric spaces which is a generalization of S-metric spaces and partial-metric spaces. Also, we give some of the topological properties that are important in knowing the convergence of the sequences and Cauchy sequence. Finally, we study a new common fixed point theorems in this spaces.

scholarly journals Some Common Fixed Point Theorems in Partial Metric Spaces

2011 ◽  
Vol 2011 ◽  
pp. 1-16 ◽  
Author(s):  
Erdal Karapınar ◽  
Uğur Yüksel
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Triangle Inequality ◽  
Metric Spaces ◽  
Applied Mathematics ◽  
Partial Metric Space ◽  
Partial Metric ◽  
Partial Metric Spaces ◽  
Common Fixed Point Theorems

Many problems in pure and applied mathematics reduce to a problem of common fixed point of some self-mapping operators which are defined on metric spaces. One of the generalizations of metric spaces is the partial metric space in which self-distance of points need not to be zero but the property of symmetric and modified version of triangle inequality is satisfied. In this paper, some well-known results on common fixed point are investigated and generalized to the class of partial metric spaces.

scholarly journals Common fixed point theorems on non-complete partial metric spaces

2013 ◽  
Vol 18 (4) ◽  
pp. 466-475
Author(s):  
Shaban Sedghi ◽  
Nabi Shobkolaei ◽  
Ishak Altun
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Partial Metric ◽  
Compatible Mappings ◽  
Weakly Compatible ◽  
Partial Metric Spaces ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem

In the peresent paper, we give a common fixed point theorem for four weakly compatible mappings on non-complete partial metric spaces. Some supporting examples are provided.

Metric-like space and Suzuki type common fixed point results with (W.C.C) condition

2018 ◽  
Vol 13 (03) ◽  
pp. 2050066
Author(s):  
Anju Panwar ◽  
Anita
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Hausdorff Metric ◽  
Partial Metric ◽  
Common Solution ◽  
Partial Metric Spaces ◽  
Hybrid Pair ◽  
Common Fixed Point Theorems

The (W.C.C) condition was developed by K.P.R. Rao et al. in 2013 which established common fixed point results in partial metric spaces. By using Hausdorff metric-like space, we obtain Suzuki type common fixed point theorems for hybrid pair of maps in metric-like spaces. We observe different conditions about maps to obtain a fixed point. In addition, as consequence of our main result, we study the existence of a common solution for a class of functional equations originating in dynamic programming.

scholarly journals Some Common Fixed Point Theorems in Ordered Partial Metric Spaces via F-Generalized Contractive Type Mappings

Mathematics ◽  
2019 ◽  
Vol 7 (2) ◽  
pp. 193
Author(s):  
Pooja Dhawan ◽  
Jatinderdeep Kaur
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Partial Metric ◽  
Partial Metric Spaces ◽  
Contractive Type ◽  
Set Valued Mappings ◽  
Common Fixed Point Theorems

In the present work, the concept of F-generalized contractive type mappings by using C-class functions is introduced, and some common fixed point results for weakly isotone increasing set-valued mappings in the setting of ordered partial metric spaces are studied. These results improve and generalize various results existing in the literature. The effectiveness of the obtained results is verified with the help of some comparative examples.

scholarly journals Unique Common Fixed Point Theorems for Pairs of Hybrid Maps under a New Condition in Partial Metric Spaces

2014 ◽  
Vol 47 (3) ◽  
Author(s):  
K. P. R. Rao ◽  
K. R. K. Rao
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Hausdorff Metric ◽  
Partial Metric ◽  
Partial Metric Spaces ◽  
Partial Hausdorff Metric ◽  
Common Fixed Point Theorems ◽  
Unique Common Fixed Point

AbstractIn this paper, we introduce a new condition namely, ‘condition (W.C.C)’ and obtain two unique common fixed point theorems for pairs of hybrid mappings on a partial Hausdorff metric space without using any continuity and commutativity of the mappings.

scholarly journals Common fixed point theorems via generalized condition (B) in quasi-partial metric space and applications

2017 ◽  
Vol 50 (1) ◽  
pp. 278-298
Author(s):  
Anita Tomar ◽  
Said Beloul ◽  
Ritu Sharma ◽  
Shivangi Upadhyay
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Partial Metric Space ◽  
Partial Metric ◽  
Open Problems ◽  
Common Fixed Point Theorems ◽  
Condition B

Abstract The aim of this paper is to introduce generalized condition (B) in a quasi-partial metric space acknowledging the notion of Künzi et al. [Künzi H.-P. A., Pajoohesh H., Schellekens M. P., Partial quasi-metrics, Theoret. Comput. Sci., 2006, 365, 237-246] and Karapinar et al. [Karapinar E., Erhan M.,Öztürk A., Fixed point theorems on quasi-partial metric spaces, Math. Comput.Modelling, 2013, 57, 2442-2448] and to establish coincidence and common fixed point theorems for twoweakly compatible pairs of self mappings. In the sequelwe also answer affirmatively two open problems posed by Abbas, Babu and Alemayehu [Abbas M., Babu G. V. R., Alemayehu G. N., On common fixed points of weakly compatible mappings satisfying generalized condition (B), Filomat, 2011, 25(2), 9-19]. Further in the setting of a quasi-partial metric space, the results obtained are utilized to establish the existence and uniqueness of a solution of the integral equation and the functional equation arising in dynamic programming. Our results are also justified by explanatory examples supported with pictographic validations to demonstrate the authenticity of the postulates.

scholarly journals A common fixed point theorem for cyclic operators on partial metric spaces

Filomat ◽  
2012 ◽  
Vol 26 (2) ◽  
pp. 407-414 ◽  
Author(s):  
Erdal Karapınar ◽  
Nabi Shobkolaei ◽  
Shaban Sedghi ◽  
Mansour Vaezpour
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Partial Metric ◽  
Partial Metric Spaces ◽  
Cyclic Operators ◽  
Common Fixed Point Theorem

In this paper, we prove a common fixed point theorem for two self-mappings satisfying certain conditions over the class of partial metric spaces. In particular, the main theorem of this manuscript extends some well-known fixed point theorems in the literature on this topic.

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