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Contractive definitions and discontinuity at fixed point

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Contractive definitions and discontinuity at fixed point

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dc.contributor.author Bisht, Ravindra K. es_ES
dc.contributor.author Pant, R. P. es_ES
dc.date.accessioned 2017-04-19T12:21:47Z
dc.date.available 2017-04-19T12:21:47Z
dc.date.issued 2017-04-03
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/79823
dc.description.abstract [EN] In this paper, we investigate some contractive definitions which are strong enough to generate a fixed point that do not force the mapping to be continuous at the fixed point. Finally, we obtain a fixed point theorem for generalized nonexpansive mappings in metric spaces by employing Meir-Keeler type conditions. es_ES
dc.language Inglés es_ES
dc.publisher Universitat Politècnica de València
dc.relation.ispartof Applied General Topology
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Fixed point es_ES
dc.subject (ε δ)contractions es_ES
dc.subject Power contraction es_ES
dc.subject Orbital continuity es_ES
dc.title Contractive definitions and discontinuity at fixed point es_ES
dc.type Artículo es_ES
dc.date.updated 2017-04-19T11:19:43Z
dc.identifier.doi 10.4995/agt.2017.6713
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Bisht, RK.; Pant, RP. (2017). Contractive definitions and discontinuity at fixed point. Applied General Topology. 18(1):173-182. https://doi.org/10.4995/agt.2017.6713 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2017.6713 es_ES
dc.description.upvformatpinicio 173 es_ES
dc.description.upvformatpfin 182 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 18
dc.description.issue 1
dc.identifier.eissn 1989-4147
dc.description.references Bisht, R. K., & Pant, R. P. (2017). A remark on discontinuity at fixed point. Journal of Mathematical Analysis and Applications, 445(2), 1239-1242. doi:10.1016/j.jmaa.2016.02.053 es_ES
dc.description.references 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 es_ES
dc.description.references Jachymski, J. (1995). Equivalent Conditions and the Meir-Keeler Type Theorems. Journal of Mathematical Analysis and Applications, 194(1), 293-303. doi:10.1006/jmaa.1995.1299 es_ES
dc.description.references Kannan, R. (1969). Some Results on Fixed Points--II. The American Mathematical Monthly, 76(4), 405. doi:10.2307/2316437 es_ES
dc.description.references Meir, A., & Keeler, E. (1969). A theorem on contraction mappings. Journal of Mathematical Analysis and Applications, 28(2), 326-329. doi:10.1016/0022-247x(69)90031-6 es_ES
dc.description.references Pant, R. P. (1999). Discontinuity and Fixed Points. Journal of Mathematical Analysis and Applications, 240(1), 284-289. doi:10.1006/jmaa.1999.6560 es_ES
dc.description.references Reich, S. (1971). Some Remarks Concerning Contraction Mappings. Canadian Mathematical Bulletin, 14(1), 121-124. doi:10.4153/cmb-1971-024-9 es_ES
dc.description.references 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 es_ES
dc.description.references Rhoades, B. E. (1988). Contractive definitions and continuity. Contemporary Mathematics, 233-245. doi:10.1090/conm/072/956495 es_ES


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