Upper Hölder continuity of parametric vector optimization problems

Abstract This paper is concerned with upper Hölder continuity and Hölder calmness of a perturbed vector optimization problem. We establish some new sufficient conditions for upper Hölder continuity and Hölder calmness of the perturbed solution mappings and the perturbed optimal value mappings of a v...
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Gespeichert in:

Autor*in:	Hu, Xian-Fu [verfasserIn] Xue, Xiao-Wei [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2016

Schlagwörter:	vector optimization problem solution mapping optimal value mapping Hölder continuity Hölder calmness

Übergeordnetes Werk:	Enthalten in: Journal of inequalities and applications - Heidelberg : Springer, 2005, 2016(2016), 1 vom: 29. Nov.
Übergeordnetes Werk:	volume:2016 ; year:2016 ; number:1 ; day:29 ; month:11

Links:	Volltext

DOI / URN:	10.1186/s13660-016-1225-7

Katalog-ID:	SPR03254300X

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spelling	10.1186/s13660-016-1225-7 doi (DE-627)SPR03254300X (SPR)s13660-016-1225-7-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Hu, Xian-Fu verfasserin aut Upper Hölder continuity of parametric vector optimization problems 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This paper is concerned with upper Hölder continuity and Hölder calmness of a perturbed vector optimization problem. We establish some new sufficient conditions for upper Hölder continuity and Hölder calmness of the perturbed solution mappings and the perturbed optimal value mappings of a vector optimization problem under the case that the objective function and the feasible set are, respectively, perturbed by parameters. Our results generalize and extend the corresponding ones of Li and Li (Appl. Math. Comput. 232:908-918, 2014). vector optimization problem (dpeaa)DE-He213 solution mapping (dpeaa)DE-He213 optimal value mapping (dpeaa)DE-He213 Hölder continuity (dpeaa)DE-He213 Hölder calmness (dpeaa)DE-He213 Xue, Xiao-Wei verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2016(2016), 1 vom: 29. Nov. (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2016 year:2016 number:1 day:29 month:11 https://dx.doi.org/10.1186/s13660-016-1225-7 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 2016 2016 1 29 11
allfields_unstemmed	10.1186/s13660-016-1225-7 doi (DE-627)SPR03254300X (SPR)s13660-016-1225-7-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Hu, Xian-Fu verfasserin aut Upper Hölder continuity of parametric vector optimization problems 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This paper is concerned with upper Hölder continuity and Hölder calmness of a perturbed vector optimization problem. We establish some new sufficient conditions for upper Hölder continuity and Hölder calmness of the perturbed solution mappings and the perturbed optimal value mappings of a vector optimization problem under the case that the objective function and the feasible set are, respectively, perturbed by parameters. Our results generalize and extend the corresponding ones of Li and Li (Appl. Math. Comput. 232:908-918, 2014). vector optimization problem (dpeaa)DE-He213 solution mapping (dpeaa)DE-He213 optimal value mapping (dpeaa)DE-He213 Hölder continuity (dpeaa)DE-He213 Hölder calmness (dpeaa)DE-He213 Xue, Xiao-Wei verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2016(2016), 1 vom: 29. Nov. (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2016 year:2016 number:1 day:29 month:11 https://dx.doi.org/10.1186/s13660-016-1225-7 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 2016 2016 1 29 11
allfieldsGer	10.1186/s13660-016-1225-7 doi (DE-627)SPR03254300X (SPR)s13660-016-1225-7-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Hu, Xian-Fu verfasserin aut Upper Hölder continuity of parametric vector optimization problems 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This paper is concerned with upper Hölder continuity and Hölder calmness of a perturbed vector optimization problem. We establish some new sufficient conditions for upper Hölder continuity and Hölder calmness of the perturbed solution mappings and the perturbed optimal value mappings of a vector optimization problem under the case that the objective function and the feasible set are, respectively, perturbed by parameters. Our results generalize and extend the corresponding ones of Li and Li (Appl. Math. Comput. 232:908-918, 2014). vector optimization problem (dpeaa)DE-He213 solution mapping (dpeaa)DE-He213 optimal value mapping (dpeaa)DE-He213 Hölder continuity (dpeaa)DE-He213 Hölder calmness (dpeaa)DE-He213 Xue, Xiao-Wei verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2016(2016), 1 vom: 29. Nov. (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2016 year:2016 number:1 day:29 month:11 https://dx.doi.org/10.1186/s13660-016-1225-7 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 2016 2016 1 29 11
allfieldsSound	10.1186/s13660-016-1225-7 doi (DE-627)SPR03254300X (SPR)s13660-016-1225-7-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Hu, Xian-Fu verfasserin aut Upper Hölder continuity of parametric vector optimization problems 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This paper is concerned with upper Hölder continuity and Hölder calmness of a perturbed vector optimization problem. We establish some new sufficient conditions for upper Hölder continuity and Hölder calmness of the perturbed solution mappings and the perturbed optimal value mappings of a vector optimization problem under the case that the objective function and the feasible set are, respectively, perturbed by parameters. Our results generalize and extend the corresponding ones of Li and Li (Appl. Math. Comput. 232:908-918, 2014). vector optimization problem (dpeaa)DE-He213 solution mapping (dpeaa)DE-He213 optimal value mapping (dpeaa)DE-He213 Hölder continuity (dpeaa)DE-He213 Hölder calmness (dpeaa)DE-He213 Xue, Xiao-Wei verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2016(2016), 1 vom: 29. Nov. (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2016 year:2016 number:1 day:29 month:11 https://dx.doi.org/10.1186/s13660-016-1225-7 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 2016 2016 1 29 11
language	English
source	Enthalten in Journal of inequalities and applications 2016(2016), 1 vom: 29. Nov. volume:2016 year:2016 number:1 day:29 month:11
sourceStr	Enthalten in Journal of inequalities and applications 2016(2016), 1 vom: 29. Nov. volume:2016 year:2016 number:1 day:29 month:11
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	vector optimization problem solution mapping optimal value mapping Hölder continuity Hölder calmness
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author	Hu, Xian-Fu
spellingShingle	Hu, Xian-Fu ddc 510 bkl 31.49 misc vector optimization problem misc solution mapping misc optimal value mapping misc Hölder continuity misc Hölder calmness Upper Hölder continuity of parametric vector optimization problems
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topic_title	510 ASE 31.49 bkl Upper Hölder continuity of parametric vector optimization problems vector optimization problem (dpeaa)DE-He213 solution mapping (dpeaa)DE-He213 optimal value mapping (dpeaa)DE-He213 Hölder continuity (dpeaa)DE-He213 Hölder calmness (dpeaa)DE-He213
topic	ddc 510 bkl 31.49 misc vector optimization problem misc solution mapping misc optimal value mapping misc Hölder continuity misc Hölder calmness
topic_unstemmed	ddc 510 bkl 31.49 misc vector optimization problem misc solution mapping misc optimal value mapping misc Hölder continuity misc Hölder calmness
topic_browse	ddc 510 bkl 31.49 misc vector optimization problem misc solution mapping misc optimal value mapping misc Hölder continuity misc Hölder calmness
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title	Upper Hölder continuity of parametric vector optimization problems
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title_full	Upper Hölder continuity of parametric vector optimization problems
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title_sort	upper hölder continuity of parametric vector optimization problems
title_auth	Upper Hölder continuity of parametric vector optimization problems
abstract	Abstract This paper is concerned with upper Hölder continuity and Hölder calmness of a perturbed vector optimization problem. We establish some new sufficient conditions for upper Hölder continuity and Hölder calmness of the perturbed solution mappings and the perturbed optimal value mappings of a vector optimization problem under the case that the objective function and the feasible set are, respectively, perturbed by parameters. Our results generalize and extend the corresponding ones of Li and Li (Appl. Math. Comput. 232:908-918, 2014).
abstractGer	Abstract This paper is concerned with upper Hölder continuity and Hölder calmness of a perturbed vector optimization problem. We establish some new sufficient conditions for upper Hölder continuity and Hölder calmness of the perturbed solution mappings and the perturbed optimal value mappings of a vector optimization problem under the case that the objective function and the feasible set are, respectively, perturbed by parameters. Our results generalize and extend the corresponding ones of Li and Li (Appl. Math. Comput. 232:908-918, 2014).
abstract_unstemmed	Abstract This paper is concerned with upper Hölder continuity and Hölder calmness of a perturbed vector optimization problem. We establish some new sufficient conditions for upper Hölder continuity and Hölder calmness of the perturbed solution mappings and the perturbed optimal value mappings of a vector optimization problem under the case that the objective function and the feasible set are, respectively, perturbed by parameters. Our results generalize and extend the corresponding ones of Li and Li (Appl. Math. Comput. 232:908-918, 2014).
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title_short	Upper Hölder continuity of parametric vector optimization problems
url	https://dx.doi.org/10.1186/s13660-016-1225-7
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doi_str	10.1186/s13660-016-1225-7
up_date	2024-07-03T13:27:06.651Z
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Upper Hölder continuity of parametric vector optimization problems

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