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On the existence of best proximity points for generalized contractions

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On the existence of best proximity points for generalized contractions

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Sultana, A.; Vetrivel, V. (2014). On the existence of best proximity points for generalized contractions. Applied General Topology. 15(1):55-63. https://doi.org/10.4995/agt.2014.2221

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Título: On the existence of best proximity points for generalized contractions
Autor: Sultana, Asrifa Vetrivel, V.
Fecha difusión:
Resumen:
[EN] In this article we establish the existence of a unique best proximity point for some generalized non self contractions on a metric space in a simpler way using a geometric result. Our results generalize some recent ...[+]
Palabras clave: Fixed points , Generalized contractions , P-property , Best proximity point
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.2014.2221
Editorial:
Editorial Universitat Politècnica de València
Versión del editor: https://doi.org/10.4995/agt.2014.2221
Código del Proyecto:
info:eu-repo/grantAgreement/UGC//F.2-12%2F2002(SA-I)/
Agradecimientos:
The authors are grateful to the referees for their valuable comments and suggestions to improve this manuscript. The first author is thankful to University Grants Commission F.2 − 12/2002(SA − I), New Delhi, India for the ...[+]
Tipo: Artículo

References

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Sankar Raj, V., & Veeramani, P. (2009). Best proximity pair theorems for relatively nonexpansive mappings. Applied General Topology, 10(1), 21-28. doi:10.4995/agt.2009.1784

Anuradha, J., & Veeramani, P. (2009). Proximal pointwise contraction. Topology and its Applications, 156(18), 2942-2948. doi:10.1016/j.topol.2009.01.017 [+]
Boyd, D. W., & Wong, J. S. W. (1969). On nonlinear contractions. Proceedings of the American Mathematical Society, 20(2), 458-458. doi:10.1090/s0002-9939-1969-0239559-9

Sankar Raj, V., & Veeramani, P. (2009). Best proximity pair theorems for relatively nonexpansive mappings. Applied General Topology, 10(1), 21-28. doi:10.4995/agt.2009.1784

Anuradha, J., & Veeramani, P. (2009). Proximal pointwise contraction. Topology and its Applications, 156(18), 2942-2948. doi:10.1016/j.topol.2009.01.017

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Rhoades, B. E. (1977). A comparison of various definitions of contractive mappings. Transactions of the American Mathematical Society, 226, 257-257. doi:10.1090/s0002-9947-1977-0433430-4

Fan, K. (1969). Extensions of two fixed point theorems of F. E. Browder. Mathematische Zeitschrift, 112(3), 234-240. doi:10.1007/bf01110225

Kim, W. K., & Lee, K. H. (2006). Existence of best proximity pairs and equilibrium pairs. Journal of Mathematical Analysis and Applications, 316(2), 433-446. doi:10.1016/j.jmaa.2005.04.053

Kim, W. K., Kum, S., & Lee, K. H. (2008). On general best proximity pairs and equilibrium pairs in free abstract economies. Nonlinear Analysis: Theory, Methods & Applications, 68(8), 2216-2227. doi:10.1016/j.na.2007.01.057

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