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Set-valued \((\Psi ,\Phi )\)-\(\Theta \) ordered contractions with applications in differential inclusions

  • Akbar Azam
  • Maliha Rashid
  • Nayyar Mehmood
Original Research Paper
  • 21 Downloads

Abstract

In this article we prove some results for coincidence points of a new type of set-valued \((\Psi ,\Phi )\)-\(\Theta \) contractions in the settings of ordered metric spaces. Our results generalize many results in the literature. We also provide some nontrivial examples to support our main theorem. For application of our main result, we provide an existence theorem for solutions of hyperbolic type differential inclusions.

Keywords

Ordered metric space Multi-valued mappings Multivalued \((\Psi, \Phi )\)-\(\Theta \) contraction Coincidence points Differential inclusions 

Mathematics Subject Classification

Primary 47H10 54H25 

Notes

Compliance with ethical standards

Conflict of interest

All the authors contributed equally and declared that they have no competing conflict of interest.

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Copyright information

© Forum D'Analystes, Chennai 2018

Authors and Affiliations

  1. 1.Department of MathematicsCOMSATS Institute of InformationIslamabadPakistan
  2. 2.Department of MathematicsInternational Islamic UniversityIslamabadPakistan

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