• P-ISSN 0974-6846 E-ISSN 0974-5645

Indian Journal of Science and Technology


Indian Journal of Science and Technology

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

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


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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© 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)


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