Nonself KKM Maps and Corresponding Theorems in Hadamard Manifolds

• Chaipunya, Parin ^[1] ; Kumam, Poom ^[2]
  1. [1] King Mongkut's University of Technology Thonburi

     King Mongkut's University of Technology Thonburi

     Tailandia

     
  2. [2] Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT)
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 16, Nº. 1, 2015, págs. 37-44
• Idioma: inglés
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• Resumen

  • In this paper, we consider the KKM maps defined for a nonself map and the correlated intersection theorems in Hadamard manifolds. We also study some applications of the intersection results. Our outputs improved the results of Raj and Somasundaram [17, V. Sankar Raj and S. Somasundaram, KKM-type theorems for best proximity points, Appl. Math. Lett., 25(3): 496–499, 2012.].