On Maia type fixed point results via implicit relation

Author:

Bera Ashis1,Mondal Pratikshan2,Garai Hiranmoy3,Dey Lakshmi Kanta4

Affiliation:

1. Department of Mathematics, Vellore Institute Technology Chennai, India

2. Department of Mathematics, Durgapur Government College, Durgapur, India

3. Department of Science and Humanities, Siliguri Govt. Polytechnic, Siliguri, India

4. Department of Mathematics, National Institute of Technology Durgapur, India

Abstract

<abstract><p>In order to study Maia type fixed point results for several well-known contractions, we suggest two novel contractions called $ \mathcal{A} $-contraction and $ \mathcal{A}' $-contraction. The majority of the Maia type fixed point results for various contractions can now be unified through these, which eliminate the need to manage various contractions individually. The advantage of including such contractions in the study of Maia type fixed point results has been demonstrated in suitable examples. We present an application of one of our established results towards the conclusion of the paper.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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