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New common fixed point theorems for multivalued maps

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New common fixed point theorems for multivalued maps

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Kamal, R.; Chugh, R.; Singh, SL.; Mishra, SN. (2014). New common fixed point theorems for multivalued maps. Applied General Topology. 15(2):111-119. https://doi.org/10.4995/agt.2014.2815

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Título: New common fixed point theorems for multivalued maps
Autor: Kamal, Raj Chugh, Renu Singh, S. L. Mishra, Swami Nath
Fecha difusión:
Resumen:
[EN] Common fixed point theorems for a new class of multivalued maps are obtained, which generalize and extend classical fixed point theorems of Nadler and Reich and some recent Suzuki type fixed point theorems.
Palabras clave: Fixed point , Banach contraction theorem , Hausdorff metric space
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.2014.2815
Editorial:
Editorial Universitat Politècnica de València
Versión del editor: https://doi.org/10.4995/agt.2014.2815
Tipo: Artículo

References

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Assad, N., & Kirk, W. (1972). Fixed point theorems for set-valued mappings of contractive type. Pacific Journal of Mathematics, 43(3), 553-562. doi:10.2140/pjm.1972.43.553

Lj. B. Ciric, Fixed points for generalized multivalued contractions, Mat. Vesnik 9, no. 24 (1972), 265-272.

Ciric, L. B. (1974). A Generalization of Banach’s Contraction Principle. Proceedings of the American Mathematical Society, 45(2), 267. doi:10.2307/2040075

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Singh, S. L., & Mishra, S. N. (2011). Fixed point theorems for single-valued and multi-valued maps. Nonlinear Analysis: Theory, Methods & Applications, 74(6), 2243-2248. doi:10.1016/j.na.2010.11.029

Suzuki, T. (2007). A generalized Banach contraction principle that characterizes metric completeness. Proceedings of the American Mathematical Society, 136(05), 1861-1870. doi:10.1090/s0002-9939-07-09055-7

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