Some New Fixed and Strict Fixed Point Results in The Set of Multi-Valued Mappings

Published in Issue 2025-11-09

How to Cite

Some New Fixed and Strict Fixed Point Results in The Set of Multi-Valued Mappings. (2025). Communications in Nonlinear Analysis, 9(2). https://oiccpress.com/cna/article/view/17943

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Abstract

In this paper, we introduce a new multi valued contraction to generalize the weakly multi valued contractive mappings given by Daffer and Kanako and some consequences studied in this direction. Moreover, we found a necessary and sufficient condition for strict fixed points of mentioned contractions.

Keywords

  • Strict fixed point,
  • fixed point,
  • Weakly Generalized contraction,
  • Pompeiu-Hausdorff metric,
  • Multi valued mapping