Fixed point results for multi-valued contractions in b-metric spaces and an application

Haitham Qawaqneh, Mohd. Salmi Md. Noorani, Wasfi Shatanawi, Hassen Aydi, Habes Alsamir

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

In this paper, by characterizing a weak contractive condition based on using C-functions and α-admissible multi-valued mapping of type S, we present some fixed point results for (α, F)-admissible multi-valued mappings in the setting of b-metric spaces. Some examples and an application are added in order to show the reliability of our obtained results. Our results amend, unify, and generalize some existing results in the literature. The scientific novelty of our main results is to take new contraction self-mappings in b-metric spaces for multi-valued mappings.

Original languageEnglish
Article number132
JournalMathematics
Volume7
Issue number2
DOIs
Publication statusPublished - 1 Feb 2019

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Metric space
Contraction
Fixed point
Multivalued Mapping
Generalise

Keywords

  • B-metric space
  • Fixed point
  • Hausdorff metric
  • Multi-valued mapping
  • α-admissible mapping of type S

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Fixed point results for multi-valued contractions in b-metric spaces and an application. / Qawaqneh, Haitham; Md. Noorani, Mohd. Salmi; Shatanawi, Wasfi; Aydi, Hassen; Alsamir, Habes.

In: Mathematics, Vol. 7, No. 2, 132, 01.02.2019.

Research output: Contribution to journalArticle

Qawaqneh, Haitham ; Md. Noorani, Mohd. Salmi ; Shatanawi, Wasfi ; Aydi, Hassen ; Alsamir, Habes. / Fixed point results for multi-valued contractions in b-metric spaces and an application. In: Mathematics. 2019 ; Vol. 7, No. 2.
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