Some set-valued and multi-valued contraction results in fuzzy cone metric spaces

Saif Ur Rehman, Hassen Aydi*, Gui Xiu Chen, Shamoona Jabeen, Sami Ullah Khan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

This paper aims to present the concept of multi-valued mappings in fuzzy cone metric spaces and prove some basic lemmas, a Hausdorff metric, and fixed point results for set-valued fuzzy cone-contraction and for multi-valued fuzzy cone-contraction mappings. We prove a fixed point theorem for multi-valued rational type fuzzy cone-contractions in fuzzy cone metric spaces. Our results extend and improve some results given in the literature.

Original languageEnglish
Article number110
JournalJournal of Inequalities and Applications
Volume2021
Issue number1
DOIs
Publication statusPublished - 2021
Externally publishedYes

Keywords

  • Contraction conditions
  • Fixed point
  • Fuzzy cone metric space
  • Hausdorff metric

Fingerprint

Dive into the research topics of 'Some set-valued and multi-valued contraction results in fuzzy cone metric spaces'. Together they form a unique fingerprint.

Cite this