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Numerical reckoning fixed points via new faster iteration process

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Numerical reckoning fixed points via new faster iteration process

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dc.contributor.author Ullah, Kifayat es_ES
dc.contributor.author Ahmad, Junaid es_ES
dc.contributor.author Khan, Fida Muhammad es_ES
dc.date.accessioned 2022-05-25T09:43:33Z
dc.date.available 2022-05-25T09:43:33Z
dc.date.issued 2022-04-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/182891
dc.description.abstract [EN] In this paper, we propose a new iteration process which is faster than the leading S [J. Nonlinear Convex Anal. 8, no. 1 (2007), 61-79], Thakur et al. [App. Math. Comp. 275 (2016), 147-155] and M [Filomat 32, no. 1 (2018), 187-196] iterations for numerical reckoning fixed points. Using new iteration process, some fixed point convergence results for generalized α-nonexpansive mappings in the setting of uniformly convex Banach spaces are proved. At the end of paper, we offer a numerical example to compare the rate of convergence of the proposed iteration process with the leading iteration processes. es_ES
dc.language Inglés es_ES
dc.publisher Universitat Politècnica de València es_ES
dc.relation.ispartof Applied General Topology es_ES
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Uniformly convex Banach space es_ES
dc.subject Iteration process es_ES
dc.subject Weak convergence es_ES
dc.subject Strong convergence es_ES
dc.subject Generalized α-nonexpansive mappings es_ES
dc.title Numerical reckoning fixed points via new faster iteration process es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.4995/agt.2022.11902
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Ullah, K.; Ahmad, J.; Khan, FM. (2022). Numerical reckoning fixed points via new faster iteration process. Applied General Topology. 23(1):213-223. https://doi.org/10.4995/agt.2022.11902 es_ES
dc.description.accrualMethod OJS es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2022.11902 es_ES
dc.description.upvformatpinicio 213 es_ES
dc.description.upvformatpfin 223 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 23 es_ES
dc.description.issue 1 es_ES
dc.identifier.eissn 1989-4147
dc.relation.pasarela OJS\11902 es_ES
dc.description.references M. Abbas and T. Nazir, A new faster iteration process applied to constrained minimization and feasibility problems, Mat. Vesnik 66, no. 2 (2014) 223-234. es_ES
dc.description.references R. P. Agarwal, D. O'Regan and D. S. Sahu, Fixed Point Theory for Lipschitzian-type Mappings with Applications Series: Topological Fixed Point Theory and Its Applications, vol. 6. Springer, New York (2009). es_ES
dc.description.references https://doi.org/10.1155/2009/439176 es_ES
dc.description.references R. P. Agarwal, D. O'Regan and D. R. Sahu, Iterative construction of fixed points of nearly asymptotically nonexpansive mappings, J. Nonlinear Convex Anal. 8, no. 1 (2007), 61-79. [6] es_ES
dc.description.references K. Aoyama and F. Kohsaka, Fixed point theorem for α-nonexpansive mappings in Banach spaces, Nonlinear Anal. 74 (2011), 4387-4391. es_ES
dc.description.references https://doi.org/10.1016/j.na.2011.03.057 es_ES
dc.description.references D. Ariza-Ruiz, C. Hermandez Linares, E. Llorens-Fuster and E. Moreno-Galvez, On α-nonexpansive mappings in Banach spaces, Carpath. J. Math. 32 (2016), 13-28. es_ES
dc.description.references https://doi.org/10.37193/CJM.2016.01.02 es_ES
dc.description.references F. E. Browder, Nonexpansive nonlinear operators in a Banach space, Proc. Nat. Acad. Sci. USA. 54 (1965), 1041-1044. es_ES
dc.description.references https://doi.org/10.1073/pnas.54.4.1041 es_ES
dc.description.references D. Gohde, Zum Prinzip der Kontraktiven Abbildung, Math. Nachr. 30 (1965), 251-258. es_ES
dc.description.references https://doi.org/10.1002/mana.19650300312 es_ES
dc.description.references F. Gursoy and V. Karakaya, A Picard-S hybrid type iteration method for solving a differential equation with retarted argument, (2014) arXiv:1403.2546v2. es_ES
dc.description.references S. Ishikawa, Fixed points by a new iteration method, Proc. Am. Math. Soc. 44 (1974), 147-150. es_ES
dc.description.references https://doi.org/10.1090/S0002-9939-1974-0336469-5 es_ES
dc.description.references W. A. Kirk, A fixed point theorem for mappings which do not increase distance, Am. Math. Monthly 72 (1965), 1004-1006. es_ES
dc.description.references https://doi.org/10.2307/2313345 es_ES
dc.description.references W. R. Mann, Mean value methods in iterations, Proc. Amer. Math. Soc. 4 (1953), 506-510. es_ES
dc.description.references https://doi.org/10.1090/S0002-9939-1953-0054846-3 es_ES
dc.description.references M. A. Noor, New approximation schemes for general variational inequalities, J. Math. Anal. Appl. 251, no. 1 (2000), 217-229. es_ES
dc.description.references https://doi.org/10.1006/jmaa.2000.7042 es_ES
dc.description.references Z. Opial, Weak and strong convergence of the sequence of successive approximations for nonexpansive mappings, Bull. Am. Math. Soc. 73 (1967), 591-597. es_ES
dc.description.references https://doi.org/10.1090/S0002-9904-1967-11761-0 es_ES
dc.description.references D. Pant and R. Shukla, Approximating fixed points of generalized α-nonexpansive mappings in Banach spaces, Numer. Funct. Anal. Optim. 38, no. 2 (2017), 248-266. es_ES
dc.description.references https://doi.org/10.1080/01630563.2016.1276075 es_ES
dc.description.references B. E. Rhoades, Some fixed point iteration procedures, Int. J. Math. Math. Sci. 14 (1991), 1-16. es_ES
dc.description.references https://doi.org/10.1155/S0161171291000017 es_ES
dc.description.references J. Schu, Weak and strong convergence to fixed points of asymptotically nonexpansive mappings, Bull. Austral. Math. Soc. 43 (1991), 153-159. es_ES
dc.description.references https://doi.org/10.1017/S0004972700028884 es_ES
dc.description.references T. Suzuki, Fixed point theorems and convergence theorems for some generalized nonexpansive mappings, J. Math. Anal. Appl. 340 (2008), 1088-1095. es_ES
dc.description.references https://doi.org/10.1016/j.jmaa.2007.09.023 es_ES
dc.description.references W. Takahashi, Nonlinear Functional Analysis. Yokohoma Publishers, Yokohoma (2000). [50] es_ES
dc.description.references B. S. Thakur, D. Thakur and M. Postolache, A new iterative scheme for numerical reckoning fixed points of Suzuki's generalized nonexpansive mappings, App. Math. Comp. 275 (2016), 147-155. es_ES
dc.description.references https://doi.org/10.1016/j.amc.2015.11.065 es_ES
dc.description.references K. Ullah and M. Arshad, Numerical reckoning fixed points for Suzuki's Generalized nonexpansive mappings via new iteration process, Filomat 32, no. 1 (2018), 187-196. es_ES
dc.description.references https://doi.org/10.2298/FIL1801187U es_ES
dc.description.references H. H. Wicke and J.M. Worrell, Jr., Open continuous mappings of spaces having bases of countable order, Duke Math. J. 34 (1967), 255-271. es_ES
dc.description.references https://doi.org/10.1215/S0012-7094-67-03430-8 es_ES


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