Asian Journal of Science, Technology, Engineering, and Art
Vol 2 No 1 (2024): Asian Journal of Science, Technology, Engineering, and Art

Rational Contraction in Metric Space and Common Fixed Point Theorems

Tiwari, Surendra Kumar (Unknown)
Ganvir, Jayant Prakash (Unknown)



Article Info

Publish Date
18 Jan 2024

Abstract

The study of contraction mappings in fixed-point theory is a fascinating and crucial field of mathematics. The concept of contraction plays a vital role in proving the existence and uniqueness of fixed points. Banach's contraction theory offers a fixed point theorem that is widely accepted as unique in most analyses. By using rational expressions in metric spaces, we can achieve unique results in general contraction mapping. These results are based on several innovative ideas stemming from the latest research. The delivered results upgrade and federate many existing outcomes on the topic in the literature Bhardwaj, R. et al. (2007) Chouhan et al. (2014) and Garg and Priyanka (2016). Also gives some suitable examples for verifying our results.

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Journal Info

Abbrev

AJSTEA

Publisher

Subject

Arts Computer Science & IT Engineering Social Sciences

Description

Asian Journal of Science, Technology, Engineering, and Art [3025-5287 (Print) and 3025-4507 (Online)] is a double-blind peer-reviewed, and open-access journal to disseminating all information contributing to the understanding and development of Science, Technology, Engineering, and Art. Its scope is ...