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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Universidad de La Frontera. Departamento de Matemática y Estadística.
2011
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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 |
_version_ |
1714206771618250752 |