Mathematical Analysis and its Contemporary Applications

A novel coupled fixed point results pertinent to Ab-metric spaces with application to Integral equations

https://doi.org/10.30495/maca.2022.1949822.1046
Volume 4, Issue 3
Spring 2022
Pages 63-83
Mathematical Analysis and its Contemporary Applications

Document Type : Original Article

Authors

Ravibabu Konchada 1
Srinivasa Rao Chindirala 2
Raghavendra Naidu Chappa 3

1 Department of Mathematics, G.M.R.I.T, Rajam, Srikakulam-532 127, India

2 Department of Mathematics, Andhra University, Visakhapatnam-530 001, India

3 Department of Mathematics, Govt. Degree College, Palakonda, Srikakulam-532 440, India

Abstract
We prove the existence and uniqueness of coupled common fixed point results in partially ordered $\mathscr{A}_b$-metric spaces in the present study. In addition to the acquired results, examples and applications are provided.

Keywords

Mixed weakly monotone property
A -metric space
Ab-metric with index n
Ab-metric space
Integral equation
  • Receive Date 14 January 2022
  • Revise Date 05 March 2022
  • Accept Date 12 March 2022

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