Mostrar el registro sencillo del ítem

dc.contributor.author	Bisht, Ravindra K.	es_ES
dc.contributor.author	Rakocevic, Vladimir	es_ES
dc.date.accessioned	2020-10-07T09:48:00Z
dc.date.available	2020-10-07T09:48:00Z
dc.date.issued	2020-10-01
dc.identifier.issn	1576-9402
dc.identifier.uri	http://hdl.handle.net/10251/151362
dc.description.abstract	[EN] In this paper, we prove some new fixed point theorems for a generalized class of Meir-Keeler type mappings, which give some new solutions to the Rhoades open problem regarding the existence of contractive mappings that admit discontinuity at the fixed point. In addition to it, we prove that our theorems characterize completeness of the metric space as well as Cantor's intersection property.	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	Fixed point	es_ES
dc.subject	Completeness	es_ES
dc.subject	Discontinuity	es_ES
dc.subject	Cantor's intersection property	es_ES
dc.title	Discontinuity at fixed point and metric completeness	es_ES
dc.type	Artículo	es_ES
dc.identifier.doi	10.4995/agt.2020.13943
dc.rights.accessRights	Abierto	es_ES
dc.description.bibliographicCitation	Bisht, RK.; Rakocevic, V. (2020). Discontinuity at fixed point and metric completeness. Applied General Topology. 21(2):349-362. https://doi.org/10.4995/agt.2020.13943	es_ES
dc.description.accrualMethod	OJS	es_ES
dc.relation.publisherversion	https://doi.org/10.4995/agt.2020.13943	es_ES
dc.description.upvformatpinicio	349	es_ES
dc.description.upvformatpfin	362	es_ES
dc.type.version	info:eu-repo/semantics/publishedVersion	es_ES
dc.description.volume	21	es_ES
dc.description.issue	2	es_ES
dc.identifier.eissn	1989-4147
dc.relation.pasarela	OJS\13943	es_ES
dc.description.references	R. M. T. Bianchini, Su un problema di S. Reich riguardante la teoria dei puntifissi, Boll. Un. Mat. Ital. 5 (1972), 103-108.	es_ES
dc.description.references	R. K. Bisht and N. Özgür, Geometric properties of discontinuous fixed point set of $(epsilon-delta)$ contractions and applications to neural networks, Aequat. Math. 94 (2020), 847-863. https://doi.org/10.1007/s00010-019-00680-7	es_ES
dc.description.references	R. K. Bisht and R. P. Pant, A remark on discontinuity at fixed points, J. Math. Anal. Appl. 445 (2017), 1239-1242. https://doi.org/10.1016/j.jmaa.2016.02.053	es_ES
dc.description.references	R. K. Bisht and R. P. Pant, Contractive definitions and discontinuity at fixed point, Appl. Gen. Topol. 18, no. 1 (2017), 173-182. https://doi.org/10.4995/agt.2017.6713	es_ES
dc.description.references	R. K. Bisht and V. Rakocevic , Generalized Meir-Keeler type contractions and discontinuity at fixed point, Fixed Point Theory 19, no. 1 (2018), 57-64. https://doi.org/10.24193/fpt-ro.2018.1.06	es_ES
dc.description.references	R. K. Bisht and V. Rakocevic , Fixed points of convex and generalized convex contractions, Rend. Circ. Mat. Palermo, II. Ser., 69, no. 1 (2020), 21-28. https://doi.org/10.1007/s12215-018-0386-2	es_ES
dc.description.references	S. K. Chatterjea, Fixed-point theorems, C. R. Acad. Bulgare Sci. 25 (1972), 15-18.	es_ES
dc.description.references	Lj. B. Ciric, On contraction type mapping, Math. Balkanica 1 (1971), 52-57.	es_ES
dc.description.references	Lj. B. Ciric, A generalization of Banach's contraction principle, Proc. Amer. Math. Soc. 45, no. 2 (1974), 267-273. https://doi.org/10.2307/2040075	es_ES
dc.description.references	X. Ding, J. Cao, X. Zhao and F. E. Alsaadi, Mittag-Leffler synchronization of delayed fractional-order bidirectional associative memory neural networks with discontinuous activations: state feedback control and impulsive control schemes, Proc. Royal Soc. A: Math. Eng. Phys. Sci. 473 (2017), 20170322. https://doi.org/10.1098/rspa.2017.0322	es_ES
dc.description.references	M. Forti and P. Nistri, Global convergence of neural networks with discontinuous neuron activations, IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. 50, no. 11 (2003) 1421-1435. https://doi.org/10.1109/TCSI.2003.818614	es_ES
dc.description.references	H. Garai, L. K. Dey and Y. J. Cho, On contractive mappings and discontinuity at fixed points, Appl. Anal. Discrete Math. 14 (2020), 33-54. https://doi.org/10.2298/AADM181018007G	es_ES
dc.description.references	T. L. Hicks and B. E. Rhoades, A Banach type fixed-point theorem, Math. Japon. 24, (1979/80), 327-330.	es_ES
dc.description.references	J. Jachymski, Equivalent conditions and Meir-Keeler type theorems, J. Math. Anal. Appl. 194 (1995), 293-303. https://doi.org/10.1006/jmaa.1995.1299	es_ES
dc.description.references	R. Kannan, Some results on fixed points, Bull. Calcutta Math. Soc. 60 (1968), 71-76. https://doi.org/10.2307/2316437	es_ES
dc.description.references	R. Kannan, Some results on fixed points-II, Amer. Math. Monthly 76 (1969), 405-408. https://doi.org/10.1080/00029890.1969.12000228	es_ES
dc.description.references	M. Maiti and T. K. Pal, Generalizations of two fixed point theorems, Bull. Calcutta Math. Soc. 70 (1978), 57-61.	es_ES
dc.description.references	A. Meir and E. Keeler, A theorem on contraction mappings, J. Math. Anal. Appl. 28 (1969), 326-329. https://doi.org/10.1016/0022-247X(69)90031-6	es_ES
dc.description.references	L. V. Nguyen, On fixed points of asymptotically regular mappings, Rend. Circ. Mat. Palermo, II. Ser., to appear.	es_ES
dc.description.references	X. Nie and W. X. Zheng, On multistability of competitive neural networks with discontinuous activation functions. In: 4th Australian Control Conference (AUCC), (2014) 245-250. https://doi.org/10.1109/AUCC.2014.7358690	es_ES
dc.description.references	X. Nie and W. X. Zheng, Multistability of neural networks with discontinuous non-monotonic piecewise linear activation functions and time-varying delays, Neural Networks 65 (2015), 65-79. https://doi.org/10.1016/j.neunet.2015.01.007	es_ES
dc.description.references	X. Nie and W. X. Zheng, Dynamical behaviors of multiple equilibria in competitive neural networks with discontinuous nonmonotonic piecewise linear activation functions, IEEE Transactions On Cybernatics 46, no. 3 (2015), 679-693.https://doi.org/10.1109/TCYB.2015.2413212	es_ES
dc.description.references	N. Y. Özgür and N. Tas, Some fixed-circle theorems and discontinuity at fixed circle, AIP Conference Proceedings 1926 (2018), 020048. https://doi.org/10.1063/1.5020497	es_ES
dc.description.references	N. Y. Özgür and N. Tas, Some fixed-circle theorems on metric spaces, Bull. Malays. Math. Sci. Soc. 42, no. 4 (2019), 1433-1449. https://doi.org/10.1007/s40840-017-0555-z	es_ES
dc.description.references	A. Pant and R. P. Pant, Fixed points and continuity of contractive maps, Filomat 31, no. 11 (2017), 3501-3506. https://doi.org/10.2298/FIL1711501P	es_ES
dc.description.references	A. Pant, R. P. Pant and M. C. Joshi, Caristi type and Meir-Keeler type fixed point theorems, Filomat 33, no. 12 (2019), 3711-3721. https://doi.org/10.2298/FIL1912711P	es_ES
dc.description.references	R. P. Pant, Discontinuity and fixed points, J. Math. Anal. Appl. 240 (1999), 284-289. https://doi.org/10.1006/jmaa.1999.6560	es_ES
dc.description.references	R. P. Pant, Fixed points of Lipschitz type mappings, preprint.	es_ES
dc.description.references	R. P. Pant, N. Özgür, N. Tas, A. Pant and M. C. Joshi, New results on discontinuity at fixed point, J. Fixed Point Theory Appl. (2020) 22:39. https://doi.org/10.1007/s11784-020-0765-0	es_ES
dc.description.references	R. P. Pant, N. Y. Özgür and N. Tas, On discontinuity problem at fixed point, Bull. Malays. Math. Sci. Soc. 43 (2020), 499-517. https://doi.org/10.1007/s40840-018-0698-6	es_ES
dc.description.references	R. P. Pant, N. Y. Özgür and N. Tas}, Discontinuity at fixed points with applications, Bulletin of the Belgian Mathematical Society-Simon Stevin 25, no. 4 (2019), 571-589.	es_ES
dc.description.references	M. Rashid, I. Batool and N. Mehmood, Discontinuous mappings at their fixed points and common fixed points with applications, J. Math. Anal. 9, no. 1 (2018), 90-104.	es_ES
dc.description.references	B. E. Rhoades, Contractive definitions and continuity, Contemporary Mathematics 72 (1988), 233-245. https://doi.org/10.1090/conm/072/956495	es_ES
dc.description.references	I. A. Rus, Some variants of contraction principle, generalizations and applications, Stud. Univ. Babes-Bolyai Math. 61, no. 3 (2016), 343-358.	es_ES
dc.description.references	P. V. Subrahmanyam, Completeness and fixed points, Monatsh. Math. 80 (1975), 325-330. https://doi.org/10.1007/BF01472580	es_ES
dc.description.references	T. Suzuki, A generalized Banach contraction principle that characterizes metric completeness, Proc. Amer. Math. Soc. 136, no. 5 (2008), 186-1869. https://doi.org/10.1090/S0002-9939-07-09055-7	es_ES
dc.description.references	N. Tas and N. Y. Özgür, A new contribution to discontinuity at fixed point, Fixed Point Theory 20, no. 2 (2019), 715-728. https://doi.org/10.24193/fpt-ro.2019.2.47	es_ES
dc.description.references	H. Wu and C. Shan, Stability analysis for periodic solution of BAM neural networks with discontinuous neuron activations and impulses, Appl. Math. Modelling 33, no. 6 (2017), 2564-2574. https://doi.org/10.1016/j.apm.2008.07.022	es_ES
dc.description.references	D. Zheng and P. Wang, Weak -ψ and discontinuity, J. Nonlinear Sci. Appl. 10 (2017), 2318-2323. https://doi.org/10.22436/jnsa.010.05.04	es_ES
dc.relation.references	10.1007/s00010-019-00680-7	es_ES
dc.relation.references	10.1016/j.jmaa.2016.02.053	es_ES
dc.relation.references	10.4995/agt.2017.6713	es_ES
dc.relation.references	10.24193/fpt-ro.2018.1.06	es_ES
dc.relation.references	10.1007/s12215-018-0386-2	es_ES
dc.relation.references	10.2307/2040075	es_ES
dc.relation.references	10.1098/rspa.2017.0322	es_ES
dc.relation.references	10.1109/TCSI.2003.818614	es_ES
dc.relation.references	10.2298/AADM181018007G	es_ES
dc.relation.references	10.1006/jmaa.1995.1299	es_ES
dc.relation.references	10.2307/2316437	es_ES
dc.relation.references	10.1080/00029890.1969.12000228	es_ES
dc.relation.references	10.1016/0022-247X(69)90031-6	es_ES
dc.relation.references	10.1109/AUCC.2014.7358690	es_ES
dc.relation.references	10.1016/j.neunet.2015.01.007	es_ES
dc.relation.references	10.1109/TCYB.2015.2413212	es_ES
dc.relation.references	10.1063/1.5020497	es_ES
dc.relation.references	10.1007/s40840-017-0555-z	es_ES
dc.relation.references	10.2298/FIL1711501P	es_ES
dc.relation.references	10.2298/FIL1912711P	es_ES
dc.relation.references	10.1006/jmaa.1999.6560	es_ES
dc.relation.references	10.1007/s11784-020-0765-0	es_ES
dc.relation.references	10.1007/s40840-018-0698-6	es_ES
dc.relation.references	10.36045/bbms/1576206358	es_ES
dc.relation.references	10.1090/conm/072/956495	es_ES
dc.relation.references	10.1007/BF01472580	es_ES
dc.relation.references	10.1090/S0002-9939-07-09055-7	es_ES
dc.relation.references	10.24193/fpt-ro.2019.2.47	es_ES
dc.relation.references	10.1016/j.apm.2008.07.022	es_ES
dc.relation.references	10.22436/jnsa.010.05.04	es_ES

Ficheros en el ítem

Descargar (387.0Kb)

Bisht;Rakocevic...ness.pdf

PDF

Este ítem aparece en la(s) siguiente(s) colección(ones)

• Applied General Topology - Vol 21, No 2 (2020) [14]
  

Mostrar el registro sencillo del ítem