Some fixed point theorems on algebraic cone metric spaces

Document Type : Research Paper


Department of Mathematics, University of Qom, Qom, Iran


In this paper, we prove some fixed point theorems for self-mappings on an algebraic cone metric space. These results are related to the product of the cone, and improve some well-known results by inserting an algebraic cone $\PP$ instead of $\mathbb{R}^{+}$.


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Volume 14, Issue 3
March 2023
Pages 231-243
  • Receive Date: 06 December 2020
  • Accept Date: 30 January 2022
  • First Publish Date: 01 March 2023