Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 18 (2023), 59 -- 72

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This work is licensed under a Creative Commons Attribution 4.0 International License.

MULTIVALUED MIZOGUCHI-TAKAHASHI TYPE RATIONAL CONTRACTION IN RELATIONAL METRIC SPACES

Binayak S. Choudhury, Nikhilesh Metiya, Priyam Chakraborty and Sunirmal Kundu

Abstract. In this paper we establish a result in the fixed point theory of multivalued mappings. This is done by combining three prevalent trends in fixed point theory. Some consequences of the main theorem are discussed. We also provide an illustrative example. The results are derived on metric spaces with a relation.

2020 Mathematics Subject Classification: 54H25
Keywords: MT-function, binary relation, multivalued function, fixed point, rational contraction

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Binayak S. Choudhury
Department of Mathematics,
Indian Institute of Engineering Science and Technology, Shibpur,
Howrah-711103, West Bengal, India.
E-mail: binayak@math.iiests.ac.in

Nikhilesh Metiya
Department of Mathematics,
Sovarani Memorial College, Jagatballavpur,
Howrah - 711408, West Bengal, India.
E-mail: metiya.nikhilesh@gmail.com

Priyam Chakraborty - Corresponding Author
Department of Mathematics,
Indian Institute of Engineering Science and Technology, Shibpur,
Howrah - 711103, West Bengal, India.
E-mail: priyam.math123@gmail.com

Sunirmal Kundu
Department of Mathematics,
Government General Degree College, Salboni,
Paschim Medinipur - 721516, West Bengal, India.
E-mail: sunirmalkundu2009@rediffmail.com




http://www.utgjiu.ro/math/sma