Invex functions and existence of weakly efficient solutions for nonsmooth vector optimization

Lucelina Batista Santos; Marko Rojas-Medar; Gabriel Ruiz-Garzón; Antonio Rufián-Lizana

doi:10.2174/978160805110611001010061

Invex functions and existence of weakly efficient solutions for nonsmooth vector optimization

Lucelina Batista Santos
, Marko Rojas-Medar
, Gabriel Ruiz-Garzón
, Antonio Rufián-Lizana

Producción científica: Capítulo del libro/informe/acta de congreso › Capítulo › revisión exhaustiva

Resumen

In this work we study the existence of weakly efficient solutions for some nonsmooth and nonconvex vector optimization problems. We consider problems whose objective functions are defined between infinite and finite-dimensional Banach spaces. Our results are stated under hypotheses of generalized convexity and make use of variational-like inequalities.

Idioma original	Inglés
Título de la publicación alojada	Optimality Conditions in Vector Optimization
Editorial	Bentham Science Publishers Ltd.
Páginas	61-74
Número de páginas	14
ISBN (versión impresa)	9781608053681
DOI	https://doi.org/10.2174/978160805110611001010061
Estado	Publicada - 2010
Publicado de forma externa	Sí

Acceder al documento

10.2174/978160805110611001010061

Otros archivos y enlaces

Enlace a la publicación en Scopus

Citar esto

@inbook{f15ca937f2fd4fc1bf9af7425ed3a5bf,

title = "Invex functions and existence of weakly efficient solutions for nonsmooth vector optimization",

abstract = "In this work we study the existence of weakly efficient solutions for some nonsmooth and nonconvex vector optimization problems. We consider problems whose objective functions are defined between infinite and finite-dimensional Banach spaces. Our results are stated under hypotheses of generalized convexity and make use of variational-like inequalities.",

keywords = "Invex functions, Nonsmooth analysis, Variationallike inequalities, Vector optimization",

author = "Santos, \{Lucelina Batista\} and Marko Rojas-Medar and Gabriel Ruiz-Garz{\'o}n and Antonio Rufi{\'a}n-Lizana",

year = "2010",

doi = "10.2174/978160805110611001010061",

language = "English",

isbn = "9781608053681",

pages = "61--74",

booktitle = "Optimality Conditions in Vector Optimization",

publisher = "Bentham Science Publishers Ltd.",

address = "United Arab Emirates",

}

Invex functions and existence of weakly efficient solutions for nonsmooth vector optimization. / Santos, Lucelina Batista; Rojas-Medar, Marko; Ruiz-Garzón, Gabriel et al.
Optimality Conditions in Vector Optimization. Bentham Science Publishers Ltd., 2010. p. 61-74.

Producción científica: Capítulo del libro/informe/acta de congreso › Capítulo › revisión exhaustiva

TY - CHAP

T1 - Invex functions and existence of weakly efficient solutions for nonsmooth vector optimization

AU - Santos, Lucelina Batista

AU - Rojas-Medar, Marko

AU - Ruiz-Garzón, Gabriel

AU - Rufián-Lizana, Antonio

PY - 2010

Y1 - 2010

N2 - In this work we study the existence of weakly efficient solutions for some nonsmooth and nonconvex vector optimization problems. We consider problems whose objective functions are defined between infinite and finite-dimensional Banach spaces. Our results are stated under hypotheses of generalized convexity and make use of variational-like inequalities.

AB - In this work we study the existence of weakly efficient solutions for some nonsmooth and nonconvex vector optimization problems. We consider problems whose objective functions are defined between infinite and finite-dimensional Banach spaces. Our results are stated under hypotheses of generalized convexity and make use of variational-like inequalities.

KW - Invex functions

KW - Nonsmooth analysis

KW - Variationallike inequalities

KW - Vector optimization

UR - https://www.scopus.com/pages/publications/84882719030

U2 - 10.2174/978160805110611001010061

DO - 10.2174/978160805110611001010061

M3 - Chapter

AN - SCOPUS:84882719030

SN - 9781608053681

SP - 61

EP - 74

BT - Optimality Conditions in Vector Optimization

PB - Bentham Science Publishers Ltd.

ER -

Invex functions and existence of weakly efficient solutions for nonsmooth vector optimization

Resumen

Acceder al documento

Otros archivos y enlaces

Huella

Citar esto