International Journal of Nonlinear Analysis and Applications

Fixed point results on p-metric spaces via p-simulation functions

Articles in Press

Document Type : Special issue editorial

Authors

1 Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran

2 Department of Data Science, Daejin University, Kyunggi 11159, Korea

10.22075/ijnaa.2021.22691.2403

Abstract

In this paper, we introduce the structure of modified $b$-metric spaces as a generalization of  $b$-metric spaces. Also, we present the notions of $p$-contractive mappings in the modified $b$-metric spaces and investigate the existence of a fixed point for such mappings under various contractive conditions. We provide examples to illustrate the results presented herein.

Keywords

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International Journal of Nonlinear Analysis and Applications

Articles in Press, Corrected Proof
Available Online from 06 December 2024
  • Receive Date: 17 January 2021
  • Accept Date: 12 March 2021