International Journal of Nonlinear Analysis and Applications

Generalized weak contractions with control functions on metric and normed interval spaces

Articles in Press

Document Type : Research Paper

Authors

Department of Mathematical Sciences, Yazd University, Yazd, Iran

10.22075/ijnaa.2024.32330.4802

Abstract

In this paper, we discuss some near-fixed point theorems with control functions for mappings that are specifically generalized weakly contraction in metric and normed interval spaces. We prove the existence and uniqueness of near-fixed points and common near-fixed points for these mappings. Moreover, we provide some examples to demonstrate the validity of our extensions.

Keywords

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International Journal of Nonlinear Analysis and Applications

Articles in Press, Corrected Proof
Available Online from 07 January 2025
  • Receive Date: 13 November 2023
  • Revise Date: 16 February 2024
  • Accept Date: 04 June 2024