Hybrid multivalued type contraction mappings in αK-complete partial b-metric spaces and applications

Eskandar Ameer, Hassen Aydi, Muhammad Arshad, Habes Alsamir, Mohd. Salmi Md. Noorani

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

In this paper, we initiate the notion of generalized multivalued (α* K, U,L)-contractions and provide some new common fixed point results in the class of αK-complete partial b-metric spaces. The obtained results are an improvement of several comparable results in the existing literature. We set up an example to elucidate our main result. Moreover, we present applications dealing with the existence of a solution for systems either of functional equations or of nonlinear matrix equations.

Original languageEnglish
Article number86
JournalSymmetry
Volume11
Issue number1
DOIs
Publication statusPublished - 1 Jan 2019

Fingerprint

metric space
Contraction Mapping
Multivalued
contraction
Metric space
Partial
Nonlinear Matrix Equation
Common Fixed Point
Functional equation
Contraction

Keywords

  • Fixed point
  • Functional equation
  • Multivalued contraction mapping
  • Nonlinear matrix equation
  • Partial b-metric space
  • Triangular α -orbital admissiblemappings

ASJC Scopus subject areas

  • Computer Science (miscellaneous)
  • Chemistry (miscellaneous)
  • Mathematics(all)
  • Physics and Astronomy (miscellaneous)

Cite this

Hybrid multivalued type contraction mappings in αK-complete partial b-metric spaces and applications. / Ameer, Eskandar; Aydi, Hassen; Arshad, Muhammad; Alsamir, Habes; Md. Noorani, Mohd. Salmi.

In: Symmetry, Vol. 11, No. 1, 86, 01.01.2019.

Research output: Contribution to journalArticle

Ameer, Eskandar ; Aydi, Hassen ; Arshad, Muhammad ; Alsamir, Habes ; Md. Noorani, Mohd. Salmi. / Hybrid multivalued type contraction mappings in αK-complete partial b-metric spaces and applications. In: Symmetry. 2019 ; Vol. 11, No. 1.
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