Article ID: MTJPAM-D-20-00017

Title: On a Common Fixed Point Theorem in Bicomplex Valued b-metric Space


Montes Taurus J. Pure Appl. Math. / ISSN: 2687-4814

Article ID: MTJPAM-D-20-00017; Volume 3 / Issue 3 / Year 2021 (Special Issue), Pages 358-366

Document Type: Research Paper

Author(s): Sanjib Kumar Datta a , Dipankar Pal b , Rakesh Sarkar c , Arghyatanu Manna d

aDepartment of Mathematics, University of Kalyani, P.O.: Kalyani, Dist.: Nadia, PIN-741235, West Bengal, India. Ph. no.-8017105978

bDepartment of Mathematics, Prof. Syed Nurul Hasan College, P.O.: Farakka Barrage, Dist.: Murshidabad, PIN-742212, West Bengal, India. Ph.no.-9153837959

cDepartment of Mathematics, Gour Mahavidyalaya, P.O.: Mangalbari, Dist.: Malda, PIN-732142, West Bengal, India. Ph. no.-9733608224

dMousini Co-operative High School(H.S.), Bagdanga, Fraserganj Coastral, Kakdwip,South 24 Parganas, PIN-743357. Ph.no.-8599972619

Received: 8 July 2020, Accepted: 15 April 2021, Published: 25 April 2021.

Corresponding Author: Sanjib Kumar Datta (Email address: sanjibdatta05@gmail.com)

Full Text: PDF

Abstract

The main purpose of this paper is to investigate a common fixed point theorem in bicomplex valued b-metric space satisfying some rational inequalities for two pairs of weakly compatible self contracting mappings and to extend the result obtained by Azam et al.[1]. Our result is the generalisation of the result of Mitra[21] and the application of Banach contraction principle. Also we use the concepts of Choi et al.[11] and Datta et al.[15]

Keywords: Common fixed point, Contractive type mapping, Bicomplex valued metric space, Bicomplex valued b-metric space

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