scholarly journals Common fixed point theorems for mappings satisfying a contractive condition of rational expression on a ordered complex partial metric space

2017 ◽  
Vol 4 (1) ◽  
pp. 1389622 ◽  
Author(s):  
P. Dhivya ◽  
M. Marudai ◽  
Hari M. Srivastava
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Partial Metric Space ◽  
Contractive Condition ◽  
Partial Metric ◽  
Rational Expression ◽  
Common Fixed Point Theorems

scholarly journals The Existence and Uniquenes Solution of Nonlinear Integral Equations via Common Fixed Point Theorems

Mathematics ◽  
2021 ◽  
Vol 9 (11) ◽  
pp. 1179
Author(s):  
Gunaseelan Mani ◽  
Arul Joseph Gnanaprakasam ◽  
Yongjin Li ◽  
Zhaohui Gu
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Integral Equations ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Partial Metric Space ◽  
Partial Metric ◽  
Nonlinear Integral Equations ◽  
Common Fixed Point Theorems

In this paper, we prove some common fixed-point theorems on complex partial metric space. The presented results generalize and expand some of the well-known results in the literature. We also explore some of the applications of our key results.

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 Solving a System of Nonlinear Integral Equations via Common Fixed Point Theorems on Bicomplex Partial Metric Space

Mathematics ◽  
2021 ◽  
Vol 9 (14) ◽  
pp. 1584
Author(s):  
Zhaohui Gu ◽  
Gunaseelan Mani ◽  
Arul Joseph Gnanaprakasam ◽  
Yongjin Li
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Integral Equations ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Partial Metric Space ◽  
Partial Metric ◽  
Nonlinear Integral Equations ◽  
Common Fixed Point Theorems

In this paper, we introduce the notion of bicomplex partial metric space and prove some common fixed point theorems. The presented results generalize and expand some of the literature’s well-known results. An example and application on bicomplex partial metric space is given.

scholarly journals Existence and Uniquenes Solution of Integral Equations via Common Fixed Point Theorems

2021 ◽  
Author(s):  
Gunaseelan Mani ◽  
Arul Joseph Gnanaprakasam ◽  
Yongjin Li ◽  
Zhaohui Gu
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Integral Equations ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Partial Metric Space ◽  
Partial Metric ◽  
Common Fixed Point Theorems

In this paper, we prove some common fixed point theorems on complex partial metric space. The presented results gener- alize and expand some of the literature well-known results. We also explore some of the application of our key results.

scholarly journals Common Fixed Point Theorems in Intuitionistic Generalized Fuzzy Cone Metric Spaces

Mathematics ◽  
2020 ◽  
Vol 8 (8) ◽  
pp. 1212
Author(s):  
Mathuraiveeran Jeyaraman ◽  
Mookiah Suganthi ◽  
Wasfi Shatanawi
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Cone Metric Space ◽  
Contractive Condition ◽  
Cone Metric Spaces ◽  
Common Fixed Point Theorems ◽  
Cone Metric

In the present work, we study many fixed point results in intuitionistic generalized fuzzy cone metric space. Precisely, we prove new common fixed point theorems for three self mappings that do not require any commutativity or continuity but a generalized contractive condition. Our results are generalizations for many results in the literature. Some examples are given to support these results.

scholarly journals Common Fixed Point Results for Four Mappings on Partial Metric Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
A. Duran Turkoglu ◽  
Vildan Ozturk
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Metric Spaces ◽  
Partial Metric Space ◽  
Contractive Condition ◽  
Partial Metric ◽  
Partial Metric Spaces

We give fixed point results for four mappings which satisfy almost generalized contractive condition on partial metric space and we support the results with an example.

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