Common fixed points of set-valued mappings in hyperconvex metric spaces

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Abstract

In this paper, we establish several common fixed point theorems for families of set-valued mappings defined in hyperconvex metric spaces. Then we give several applications of our results.

Keywords

Common fixed point hyperconvex metric space KKM Ky Fan minimax inequality set-valued mapping 

Mathematics Subject Classification

Primary 47H09 Secondary 46B20 47H10 47E10 
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Notes

Acknowledgements

The authors gratefully acknowledge the assistance and the comments of the anonymous reviewers who reviewed a previous version of our paper.

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of OradeaOradeaRomania
  2. 2.Departamento de Matemática y Ciencia de la ComputaciónUniversidad de Santiago de ChileSantiagoChile
  3. 3.Department of Mathematical SciencesUniversity of Texas at El PasoEl PasoUSA
  4. 4.Department of Mathematics & StatisticsKing Fahd University of Petroleum and MineralsDhahranSaudi Arabia

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