Computational and Applied Mathematics

, Volume 36, Issue 4, pp 1607–1622 | Cite as

Common fixed points of set-valued F-contraction mappings on domain of sets endowed with directed graph

  • Mujahid Abbas
  • Talat Nazir
  • Tatjana Aleksić Lampert
  • Stojan Radenović
Article

Abstract

The aim of this paper is to present common fixed point results of set-valued graphic F-contraction mappings on a family of sets endowed with a graph. Some examples are presented to support the results proved herein. Our results unify, generalize and extend various results in the existing literature.

Keywords

Set-valued mapping Domain of sets Common fixed point Graph F-contraction pair Directed graph 

Mathematics Subject Classification

47H10 54E50 54H25 

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Copyright information

© SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional 2016

Authors and Affiliations

  • Mujahid Abbas
    • 1
    • 2
  • Talat Nazir
    • 3
    • 4
  • Tatjana Aleksić Lampert
    • 5
  • Stojan Radenović
    • 6
  1. 1.Nonlinear Analysis Research GroupTon Duc Thang UniversityHo Chi Minh CityVietnam
  2. 2.Faculty of Mathematics and StatisticsTon Duc Thang UniversityHo Chi Minh CityVietnam
  3. 3.Division of Applied Mathematics, School of Education, Culture and CommunicationMälardalen UniversityVästeråsSweden
  4. 4.Department of MathematicsCOMSATS Institute of Information TechnologyAbbottabadPakistan
  5. 5.Faculty of Sciences, Department of MathematicsKragujevacSerbia
  6. 6.Department of Mathematical SciencesState University of Novi PazarNovi PazarSerbia

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