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Nonself KKM Maps and Corresponding Theorems in Hadamard Manifolds

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Nonself KKM Maps and Corresponding Theorems in Hadamard Manifolds

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Chaipunya, P.; Kumam, P. (2015). Nonself KKM Maps and Corresponding Theorems in Hadamard Manifolds. Applied General Topology. 16(1):37-44. https://doi.org/10.4995/agt.2015.2305

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Título: Nonself KKM Maps and Corresponding Theorems in Hadamard Manifolds
Autor: Chaipunya, Parin Kumam, Poom
Fecha difusión:
Resumen:
[EN] 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 ...[+]
Palabras clave: KKM Maps , Hadamard manifolds , Generalized equilibrium problems , Best proximity points
Derechos de uso: Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
Fuente:
Applied General Topology. (issn: 1576-9402 ) (eissn: 1989-4147 )
DOI: 10.4995/agt.2015.2305
Editorial:
Editorial Universitat Politècnica de València
Versión del editor: https://doi.org/10.4995/agt.2015.2305
Código del Proyecto:
info:eu-repo/grantAgreement/TRF//PHD%2F0045%2F2555/
Agradecimientos:
The first author is supported by the Thailand Research Fund through the Royal Golden Jubilee Ph.D. Program (Grant No. PHD/0045/2555) and the King Mongkut’s University of Technology Thonburi under the RGJ-Ph.D. scholarship. ...[+]
Tipo: Artículo

References

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Bigi, G., Capătă, A., & Kassay, G. (2012). Existence results for strong vector equilibrium problems and their applications. Optimization, 61(5), 567-583. doi:10.1080/02331934.2010.528761

E. Blum and W. Oettli, From optimization and variational inequalities to equilibrium problems, The Mathematics Student 63, no. 1-4 (1994), 123-145.

W. Oettli, A remark on vector-valued equilibria and generalized monotonicity, Acta Math. Vietnam. 22, no. 1 (1997), 213-221.

A. Papadopoulos, Metric Spaces, Convexity and Nonpositive Curvature, IRMA lectures in mathematics and theoretical physics, European Mathematical Society, 2005.

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Sturm, K.-T. (2003). Probability measures on metric spaces of nonpositive curvature. Contemporary Mathematics, 357-390. doi:10.1090/conm/338/06080

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