Generalizations of the strong Ekeland variational principle with a generalized distance in complete metric spaces

Abstract In this paper, we prove a generalization of the strong Ekeland variational principle for a generalized distance (i.e., u-distance) on complete metric spaces. The result present in this paper extends and improves the corresponding result of Georgiev (J. Math. Anal. Appl. 131:1-21, 1988) and...
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Gespeichert in:

Autor*in:	Plubtieng, Somyot [verfasserIn] Seangwattana, Thidaporn [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2013

Schlagwörter:	-distance complete metric space Ekeland’s variational principle

Übergeordnetes Werk:	Enthalten in: Journal of inequalities and applications - Heidelberg : Springer, 2005, 2013(2013), 1 vom: 21. März
Übergeordnetes Werk:	volume:2013 ; year:2013 ; number:1 ; day:21 ; month:03

Links:	Volltext

DOI / URN:	10.1186/1029-242X-2013-120

Katalog-ID:	SPR03239263X

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allfields	10.1186/1029-242X-2013-120 doi (DE-627)SPR03239263X (SPR)1029-242X-2013-120-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Plubtieng, Somyot verfasserin aut Generalizations of the strong Ekeland variational principle with a generalized distance in complete metric spaces 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, we prove a generalization of the strong Ekeland variational principle for a generalized distance (i.e., u-distance) on complete metric spaces. The result present in this paper extends and improves the corresponding result of Georgiev (J. Math. Anal. Appl. 131:1-21, 1988) and Suzuki (J. Math. Anal. Appl. 320:788-794, 2006). -distance (dpeaa)DE-He213 complete metric space (dpeaa)DE-He213 Ekeland’s variational principle (dpeaa)DE-He213 Seangwattana, Thidaporn verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2013(2013), 1 vom: 21. März (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2013 year:2013 number:1 day:21 month:03 https://dx.doi.org/10.1186/1029-242X-2013-120 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2013 2013 1 21 03
spelling	10.1186/1029-242X-2013-120 doi (DE-627)SPR03239263X (SPR)1029-242X-2013-120-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Plubtieng, Somyot verfasserin aut Generalizations of the strong Ekeland variational principle with a generalized distance in complete metric spaces 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, we prove a generalization of the strong Ekeland variational principle for a generalized distance (i.e., u-distance) on complete metric spaces. The result present in this paper extends and improves the corresponding result of Georgiev (J. Math. Anal. Appl. 131:1-21, 1988) and Suzuki (J. Math. Anal. Appl. 320:788-794, 2006). -distance (dpeaa)DE-He213 complete metric space (dpeaa)DE-He213 Ekeland’s variational principle (dpeaa)DE-He213 Seangwattana, Thidaporn verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2013(2013), 1 vom: 21. März (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2013 year:2013 number:1 day:21 month:03 https://dx.doi.org/10.1186/1029-242X-2013-120 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2013 2013 1 21 03
allfields_unstemmed	10.1186/1029-242X-2013-120 doi (DE-627)SPR03239263X (SPR)1029-242X-2013-120-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Plubtieng, Somyot verfasserin aut Generalizations of the strong Ekeland variational principle with a generalized distance in complete metric spaces 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, we prove a generalization of the strong Ekeland variational principle for a generalized distance (i.e., u-distance) on complete metric spaces. The result present in this paper extends and improves the corresponding result of Georgiev (J. Math. Anal. Appl. 131:1-21, 1988) and Suzuki (J. Math. Anal. Appl. 320:788-794, 2006). -distance (dpeaa)DE-He213 complete metric space (dpeaa)DE-He213 Ekeland’s variational principle (dpeaa)DE-He213 Seangwattana, Thidaporn verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2013(2013), 1 vom: 21. März (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2013 year:2013 number:1 day:21 month:03 https://dx.doi.org/10.1186/1029-242X-2013-120 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2013 2013 1 21 03
allfieldsGer	10.1186/1029-242X-2013-120 doi (DE-627)SPR03239263X (SPR)1029-242X-2013-120-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Plubtieng, Somyot verfasserin aut Generalizations of the strong Ekeland variational principle with a generalized distance in complete metric spaces 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, we prove a generalization of the strong Ekeland variational principle for a generalized distance (i.e., u-distance) on complete metric spaces. The result present in this paper extends and improves the corresponding result of Georgiev (J. Math. Anal. Appl. 131:1-21, 1988) and Suzuki (J. Math. Anal. Appl. 320:788-794, 2006). -distance (dpeaa)DE-He213 complete metric space (dpeaa)DE-He213 Ekeland’s variational principle (dpeaa)DE-He213 Seangwattana, Thidaporn verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2013(2013), 1 vom: 21. März (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2013 year:2013 number:1 day:21 month:03 https://dx.doi.org/10.1186/1029-242X-2013-120 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2013 2013 1 21 03
allfieldsSound	10.1186/1029-242X-2013-120 doi (DE-627)SPR03239263X (SPR)1029-242X-2013-120-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Plubtieng, Somyot verfasserin aut Generalizations of the strong Ekeland variational principle with a generalized distance in complete metric spaces 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, we prove a generalization of the strong Ekeland variational principle for a generalized distance (i.e., u-distance) on complete metric spaces. The result present in this paper extends and improves the corresponding result of Georgiev (J. Math. Anal. Appl. 131:1-21, 1988) and Suzuki (J. Math. Anal. Appl. 320:788-794, 2006). -distance (dpeaa)DE-He213 complete metric space (dpeaa)DE-He213 Ekeland’s variational principle (dpeaa)DE-He213 Seangwattana, Thidaporn verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2013(2013), 1 vom: 21. März (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2013 year:2013 number:1 day:21 month:03 https://dx.doi.org/10.1186/1029-242X-2013-120 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2013 2013 1 21 03
language	English
source	Enthalten in Journal of inequalities and applications 2013(2013), 1 vom: 21. März volume:2013 year:2013 number:1 day:21 month:03
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author	Plubtieng, Somyot
spellingShingle	Plubtieng, Somyot ddc 510 bkl 31.49 misc -distance misc complete metric space misc Ekeland’s variational principle Generalizations of the strong Ekeland variational principle with a generalized distance in complete metric spaces
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topic_title	510 ASE 31.49 bkl Generalizations of the strong Ekeland variational principle with a generalized distance in complete metric spaces -distance (dpeaa)DE-He213 complete metric space (dpeaa)DE-He213 Ekeland’s variational principle (dpeaa)DE-He213
topic	ddc 510 bkl 31.49 misc -distance misc complete metric space misc Ekeland’s variational principle
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title	Generalizations of the strong Ekeland variational principle with a generalized distance in complete metric spaces
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title_full	Generalizations of the strong Ekeland variational principle with a generalized distance in complete metric spaces
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author_browse	Plubtieng, Somyot Seangwattana, Thidaporn
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title_sort	generalizations of the strong ekeland variational principle with a generalized distance in complete metric spaces
title_auth	Generalizations of the strong Ekeland variational principle with a generalized distance in complete metric spaces
abstract	Abstract In this paper, we prove a generalization of the strong Ekeland variational principle for a generalized distance (i.e., u-distance) on complete metric spaces. The result present in this paper extends and improves the corresponding result of Georgiev (J. Math. Anal. Appl. 131:1-21, 1988) and Suzuki (J. Math. Anal. Appl. 320:788-794, 2006).
abstractGer	Abstract In this paper, we prove a generalization of the strong Ekeland variational principle for a generalized distance (i.e., u-distance) on complete metric spaces. The result present in this paper extends and improves the corresponding result of Georgiev (J. Math. Anal. Appl. 131:1-21, 1988) and Suzuki (J. Math. Anal. Appl. 320:788-794, 2006).
abstract_unstemmed	Abstract In this paper, we prove a generalization of the strong Ekeland variational principle for a generalized distance (i.e., u-distance) on complete metric spaces. The result present in this paper extends and improves the corresponding result of Georgiev (J. Math. Anal. Appl. 131:1-21, 1988) and Suzuki (J. Math. Anal. Appl. 320:788-794, 2006).
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title_short	Generalizations of the strong Ekeland variational principle with a generalized distance in complete metric spaces
url	https://dx.doi.org/10.1186/1029-242X-2013-120
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