Some coupled fixed point results for set­valued mappings with applications

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  • Abdessalem Benterki1,
  • Mohamed Rouaki1,
  • Arslan Hojat Ansari2,
  1. LAMDA-RO Laboratory, Department of Mathematics, University of Blida, Algeria.
  2. Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.

Published in Issue 2025-11-09

How to Cite

Some coupled fixed point results for set­valued mappings with applications. (2025). Communications in Nonlinear Analysis, 4(1). https://oiccpress.com/cna/article/view/17902

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Abstract

This paper deals with the study of coupled fixed point theorems for φ-pseudo-contractive set-valuedmappings without using the mixed g-monotone property on the closed ball of partial metric spaces. Generalizationsof some well-known results concerning existence and location of coupled fixed points are obtained.These coupled fixed point theorems are applied for obtaining the existence results for an elliptic system.

Keywords

  • Coupled fixed point,
  • set-valued mapping,
  • partial metric space,
  • elliptic systems
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