The Best Proximity Point Problem for New Types of Ciric a 􀀀b􀀀 Contraction with Application

Satyaj Tiwari; Monika Dewangan

doi:10.17485/IJST/v16i29.708

Article

The Best Proximity Point Problem for New Types of Ciric a 􀀀b􀀀 Contraction with Application

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v16i29.708

Year: 2023, Volume: 16, Issue: 29, Pages: 2183-2189

Original Article

The Best Proximity Point Problem for New Types of Ciric a 􀀀b􀀀 Contraction with Application

Satyaj Tiwari¹, Monika Dewangan²

¹Associate Professor, Department of Mathematics, Shri Rawatpura Sarkar University, Raipur, 492015, Chhattisgarh, India
²Research Scholar, Department of Mathematics, Shri Rawatpura Sarkar University, Raipur, 492015, Chhattisgarh, India

*Corresponding Author
Email: [email protected]

Received Date:26 March 2023, Accepted Date:31 May 2023, Published Date:29 July 2023

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

Abstract

Objectives: To generate the best proximity point theorem for new types of Ciric a 􀀀b􀀀 contraction. Methods: By using generalized a 􀀀b􀀀 proximal quasi contraction and Ciric type G-contraction. Findings: We made new types of Ciric a 􀀀b􀀀 contraction. Novelty/Improvement: we give new types of Ciric a 􀀀b􀀀contraction which is a generalization of generalized a 􀀀b􀀀 proximal quasi contraction and Ciric type G-contraction.

Keywords: New types of Ciric a-b -contraction; Best proximity point; Ciric type G-contraction; generalized a-b - proximal quasi contraction; Cauchy Sequence

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Copyright

© 2023 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)