1 publication

• Published Subscription Review Article 11 Jul 2024

  A Journey through Fixed Points and Non-expansive Mappings

  By Sujit Patel

  Abstract: Fixed points in non-expansive mappings are elements that remain unchanged under the action of the mapping. Non-expansive mappings preserve or contract distances in a metric space. The rigorous proof of the Banach fixed-point theorem is presented at the outset of the paper, highlighting its fundamental significance. According to this theorem, every contraction mapping (a particular kind of non-expansive mapping that strictly reduces distances) has a single fixed point in a …

  Published in Research & Reviews: Discrete Mathematical Structures · Vol. 11, Issue 1, 2024 Read article →