Approximate solutions of multiobjective optimization problems
This paper provides some new results on approximate Pareto solutions of a multiobjective optimization problem involving nonsmooth functions. We establish Fritz-John type necessary conditions and sufficient conditions for approximate Pareto solutions of such a problem. As a consequence, we obtain Fri...
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| Veröffentlicht in: | Positivity : an international journal devoted to the theory and applications of positivity in analysis 2016-03, Vol.20 (1), p.187-207 |
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| container_title | Positivity : an international journal devoted to the theory and applications of positivity in analysis |
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| creator | Chuong, Thai Doan Kim, Do Sang |
| description | This paper provides some new results on
approximate Pareto solutions
of a multiobjective optimization problem involving nonsmooth functions. We establish Fritz-John type necessary conditions and sufficient conditions for approximate Pareto solutions of such a problem. As a consequence, we obtain Fritz-John type necessary conditions for (weakly) Pareto solutions of the considered problem by exploiting the corresponding results of the approximate Pareto solutions. In addition, we state a dual problem formulated in an approximate form to the reference problem and explore duality relations between them. |
| doi_str_mv | 10.1007/s11117-015-0350-8 |
| format | Article |
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approximate Pareto solutions
of a multiobjective optimization problem involving nonsmooth functions. We establish Fritz-John type necessary conditions and sufficient conditions for approximate Pareto solutions of such a problem. As a consequence, we obtain Fritz-John type necessary conditions for (weakly) Pareto solutions of the considered problem by exploiting the corresponding results of the approximate Pareto solutions. In addition, we state a dual problem formulated in an approximate form to the reference problem and explore duality relations between them.</description><identifier>ISSN: 1385-1292</identifier><identifier>EISSN: 1572-9281</identifier><identifier>DOI: 10.1007/s11117-015-0350-8</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Applied mathematics ; Calculus of Variations and Optimal Control; Optimization ; Econometrics ; Fourier Analysis ; Mathematical functions ; Mathematics ; Mathematics and Statistics ; Operator Theory ; Optimization ; Potential Theory ; Scholarships & fellowships</subject><ispartof>Positivity : an international journal devoted to the theory and applications of positivity in analysis, 2016-03, Vol.20 (1), p.187-207</ispartof><rights>Springer Basel 2015</rights><rights>Springer International Publishing 2016</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c316t-7bed7bfa7468a371211d73aa32f103fccfd19be92e1fccaa79d7c0b0a4795add3</citedby><cites>FETCH-LOGICAL-c316t-7bed7bfa7468a371211d73aa32f103fccfd19be92e1fccaa79d7c0b0a4795add3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s11117-015-0350-8$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s11117-015-0350-8$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,778,782,27907,27908,41471,42540,51302</link.rule.ids></links><search><creatorcontrib>Chuong, Thai Doan</creatorcontrib><creatorcontrib>Kim, Do Sang</creatorcontrib><title>Approximate solutions of multiobjective optimization problems</title><title>Positivity : an international journal devoted to the theory and applications of positivity in analysis</title><addtitle>Positivity</addtitle><description>This paper provides some new results on
approximate Pareto solutions
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approximate Pareto solutions
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| language | eng |
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| subjects | Applied mathematics Calculus of Variations and Optimal Control Optimization Econometrics Fourier Analysis Mathematical functions Mathematics Mathematics and Statistics Operator Theory Optimization Potential Theory Scholarships & fellowships |
| title | Approximate solutions of multiobjective optimization problems |
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