Fixed Point and Common Fixed Point Theorems for Single Valued and Multivalued Mappings in Partial b-Metric Spaces

Satyaj Tiwari; Lokesh Kumar Dewangan

doi:10.17485/IJST/v17i1.2853

Article

Fixed Point and Common Fixed Point Theorems for Single Valued and Multivalued Mappings in Partial b-Metric Spaces

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v17i1.2853

Year: 2024, Volume: 17, Issue: 1, Pages: 59-64

Original Article

Fixed Point and Common Fixed Point Theorems for Single Valued and Multivalued Mappings in Partial b-Metric Spaces

Satyaj Tiwari¹, Lokesh Kumar Dewangan^2*

¹Associate Professor, Shri Rawatpura Sarkar University, Raipur, Chhattisgarh, India
²Research Scholar, Shri Rawatpura Sarkar University, Raipur, Chhattisgarh, India

*Corresponding Author
Email: [email protected]

Received Date:11 November 2023, Accepted Date:02 December 2023, Published Date:05 January 2024

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

Abstract

Objectives: To prove some fixed point theorems and common fixed point theorems by using partial b-metric spaces. Methods: Ciric type contraction for single-valued mapping is also used to prove fixed point theorem and Nadler's type Banach contraction is used to produce fixed point and common fixed point theorems. Findings: We have to find fixed point and common fixed point theorems for single valued mapping and a fixed point theorem for multivalued mapping. Novelty : We have to use a new type of space called partial b-metric space to prove all the theorems in this paper. No one has proven these theorems before in this space. 2020 Mathematics Subject Classification : 47H10, 54H25.

Keywords: Partial b-metric space, Single valued, Multi valued, Common fixed point, Fixed point

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Copyright

© 2024 Tiwari & Dewangan. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)