Coincidence and common fixed points of integral contractions for L-fuzzy maps with applications in fuzzy functional inclusions

Ahmed Saleh Al Rawashdeh, Nayyar Mehmood, Maliha Rashid

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

Branciari defined the integral contractions to generalize the Banach contraction principle. Moreover recently Phiangsungnoen proved a fixed point theorem to generalize the ordered structure and contractive conditions with admissible mappings. In this article, we prove some coincidence and common fixed point theorems for a pair of L-fuzzy mappings satisfying integral β-admissible and generalize integral contractions. These results generalize the above famous results and many others in the literature. We define two types of fuzzy functional inclusions and prove existence of their solutions as a consequence of our results. Some nontrivial examples are given to provide significance of ourresults.

Original languageEnglish
Pages (from-to)2173-2187
Number of pages15
JournalJournal of Intelligent and Fuzzy Systems
Volume35
Issue number2
DOIs
Publication statusPublished - Jan 1 2018

Keywords

  • functional inclusions
  • Integral contractions
  • L-fuzzy mappings
  • β - admissible

ASJC Scopus subject areas

  • Statistics and Probability
  • Engineering(all)
  • Artificial Intelligence

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