Some Fixed Point Theorems for α-Admissible Mappings in Bipolar Metric Spaces

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Manoj Kumar
Vinit Mor
Pankaj

Abstract

In the present paper, some new contractions are introduced and fixed point theorems for such contractions are proved in bipolar metric spaces. Some examples are also presented to illustrate the main results.

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How to Cite
1.
Kumar M, Mor V, Pankaj. Some Fixed Point Theorems for α-Admissible Mappings in Bipolar Metric Spaces . J. Int. Acad. Phys. Sci. [Internet]. 2023 Sep. 15 [cited 2024 May 18];27(3):249-57. Available from: https://www.iaps.org.in/journal/index.php/journaliaps/article/view/885
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References

S. Banach; Sur les opérations dans les ensembles abstraits et leur application aux équations integrals, Fundam. Math., 3(1)(1922), 133-181.

A Farhana, P. Salimi, N Hussain and E Karapinar; α-admissible mappings and related fixed point theorems, Journal of Inequalities and Applications 2013 (2013), 114.

A. Mutlu and U. Gürdal; Bipolar metric spaces and some fixed point theorems, J. Nonlinear Sci. Appl., 9(9)(2016), 5362-5373.

P.P. Murthy, Z. Mitrovic, C. P. Dhuri and S. Radenovic; The common fixed point theorems in bipolar metric space, Gulf Journal of Mathematics, 12(2)(2022), 31-38.

A Mutlu, U. Gürdal and K. Ozkan, Fixed point results for α-ψ-contractive mappings in bipolar metric spaces, Journal of Inequalities and Special Functions, 11(1)(2020), 64-75.

A Mutlu, U. Gürdal and K. Ozkan; Fixed point theorems for multivalued mappings on bipolar metric spaces, Fixed Point Theory, 21(2020), 271-280.