Multiple Objective Programming Involving Differentiable (Hp, r)-invex Functions

In this paper, we introduce new types of generalized convex functions which include locally (Hp, r)-pre-invex functions and (Hp, r)-invex functions. Relationship between these two new classes of functions are established. We also present the conditions for optimality in differentiable mathematical p...

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Autores principales: Liu,Xiaoling, Yuan,Dehui, Yang,Shengyun, Lai,Guoming, Xu,Chuanqing
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2011
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462011000100008
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spelling oai:scielo:S0719-064620110001000082018-10-08Multiple Objective Programming Involving Differentiable (Hp, r)-invex FunctionsLiu,XiaolingYuan,DehuiYang,ShengyunLai,GuomingXu,Chuanqing Differentiable mathematical programming In this paper, we introduce new types of generalized convex functions which include locally (Hp, r)-pre-invex functions and (Hp, r)-invex functions. Relationship between these two new classes of functions are established. We also present the conditions for optimality in differentiable mathematical programming problems where the functions considered are (Hp, r)-invex functions introduced in this paper.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.13 n.1 20112011-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462011000100008en10.4067/S0719-06462011000100008
institution Scielo Chile
collection Scielo Chile
language English
topic Differentiable mathematical programming
spellingShingle Differentiable mathematical programming
Liu,Xiaoling
Yuan,Dehui
Yang,Shengyun
Lai,Guoming
Xu,Chuanqing
Multiple Objective Programming Involving Differentiable (Hp, r)-invex Functions
description In this paper, we introduce new types of generalized convex functions which include locally (Hp, r)-pre-invex functions and (Hp, r)-invex functions. Relationship between these two new classes of functions are established. We also present the conditions for optimality in differentiable mathematical programming problems where the functions considered are (Hp, r)-invex functions introduced in this paper.
author Liu,Xiaoling
Yuan,Dehui
Yang,Shengyun
Lai,Guoming
Xu,Chuanqing
author_facet Liu,Xiaoling
Yuan,Dehui
Yang,Shengyun
Lai,Guoming
Xu,Chuanqing
author_sort Liu,Xiaoling
title Multiple Objective Programming Involving Differentiable (Hp, r)-invex Functions
title_short Multiple Objective Programming Involving Differentiable (Hp, r)-invex Functions
title_full Multiple Objective Programming Involving Differentiable (Hp, r)-invex Functions
title_fullStr Multiple Objective Programming Involving Differentiable (Hp, r)-invex Functions
title_full_unstemmed Multiple Objective Programming Involving Differentiable (Hp, r)-invex Functions
title_sort multiple objective programming involving differentiable (hp, r)-invex functions
publisher Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate 2011
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462011000100008
work_keys_str_mv AT liuxiaoling multipleobjectiveprogramminginvolvingdifferentiablehprinvexfunctions
AT yuandehui multipleobjectiveprogramminginvolvingdifferentiablehprinvexfunctions
AT yangshengyun multipleobjectiveprogramminginvolvingdifferentiablehprinvexfunctions
AT laiguoming multipleobjectiveprogramminginvolvingdifferentiablehprinvexfunctions
AT xuchuanqing multipleobjectiveprogramminginvolvingdifferentiablehprinvexfunctions
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