Duality and a Characterization of Pseudoinvexity for Pareto and Weak Pareto Solutions in Nondifferentiable Multiobjective Programming

Manuel Arana‐Jiménez, Gabriel Ruiz Garzón, R. Osuna-Gómez, Beatriz Hernández‐Jiménez

Type: Article

Publication Date: 2012-07-30

Citations: 8

DOI: https://doi.org/10.1007/s10957-012-0123-5

View Publication

Locations

RePEc: Research Papers in Economics - View
Journal of Optimization Theory and Applications - View

Similar Works

Action	Title	Year	Authors
+	A characterization of pseudoinvexity for the efficiency in non-differentiable multiobjective problems. Duality	2010	Manuel Arana‐Jiménez Gabriel Ruiz Garzón A. Rufián-Lizana Beatriz Hernández‐Jiménez
+	DUALITY THEOREMS FOR NONDIFFERENTIABLE MULTIOBJECTIVE PROGRAMS	2015	NARENDER KUMAR DAVINDER BHATIA
+	Pseudoinvexity, optimality conditions and efficiency in multiobjective problems; duality	2006	Manuel Arana‐Jiménez A. Rufián-Lizana R. Osuna-Gómez Gabriel Ruiz Garzón
+	Duality theorem of nondifferentiable convex multiobjective programming	1986	H.C. Lai Chiu-Ju Ho
+	Multiobjective duality with invexity	1987	Richard Egudo Morgan A Hanson
+	Weak Pareto-optimal necessary conditions in a nondifferentiable multiobjective program on a Banach space	1983	M. Minami
+	Weakly efficient solutions and pseudoinvexity in multiobjective control problems	2010	Manuel Arana‐Jiménez Gabriel Ruiz Garzón R. Osuna-Gómez A. Rufián-Lizana
+	Duality and existence theory for nondifferentiable programming	1986	J. Parida A. Sen
+	Duality and existence theory for nondifferentiable programming	1986	ParidaJ.
+	Nondifferentiable second order symmetric duality in multiobjective programming	2005	I. Ahmad Z. Husain
+	Duality for Nondifferentiable Multiobjective Programming Involving (Phi, rho)-Invexity	2011	Deo Brat Ojha
+	Optimality and Duality for a Class of Nondifferentiable Multiobjective Fractional Programming Problems	2006	Do Sang Kim S. J. Kim Migyoung Kim
+	SECOND-ORDER DUALITY FOR NONDIFFERENTIABLE MULTIOBJECTIVE PROGRAMMING INVOLVING (	2011	Ganesh Kumar Thakur Bandana Priya R. D. Engg
+	Duality in nondifferentiable multiobjective fractional programming problem with generalized invexity	2009	T.R. Gulati Geeta Sachdev
+	Optimality conditions and duality in subdifferentiable multiobjective fractional programming	1993	C. R. Bector S. Chandra Iqbal Husain
+	Second order symmetric duality in nondifferentiable multiobjective programming	2004	I. Ahmad
+	?-Duality theorem of nondifferentiable nonconvex multiobjective programming	1992	P. Loridan
+	?-Duality theorem of nondifferentiable nonconvex multiobjective programming	1992	J. C. Liu
+	WEAK DUALITY IN MULTIOBJECTIVE OPTIMIZATION WITH SET FUNCTIONS	1993	Jun Yull Lee
+	Sufficiency and duality in nondifferentiable multiobjective programming involving generalized type I functions	2006	Mohamed Hachimi Brahim Aghezzaf

Works That Cite This (5)

Action	Title	Year	Authors
+	KT‐pseudoinvex multidimensional control problem	2018	Savin Treanţă Manuel Arana‐Jiménez
+ PDF Chat	Geodesic<i>B</i>-Preinvex Functions and Multiobjective Optimization Problems on Riemannian Manifolds	2014	Shenglan Chen Nan‐jing Huang Donal O’Regan
+	Generalized Fritz John optimality in nonlinear programming in the presence of equality and inequality constraints	2015	Hachem Slimani Mohammed Saïd Radjef
+ PDF Chat	Multiobjective Fractional Programming Involving Generalized Semilocally V-Type I-Preinvex and Related Functions	2014	Hachem Slimani Shashi Kant Mishra
+ PDF Chat	On sufficient optimality conditions for multiobjective control problems	2015	Valeriano Antunes de Oliveira Geraldo Nunes Silva

Works Cited by This (22)

Action	Title	Year	Authors
+	Optimization and Nonsmooth Analysis	1990	Frank H. Clarke
+ PDF Chat	What is invexity?	1986	Adi Ben-Israel B. Mond
+	D-Invexity and optimality conditions	1991	Yuxin Ye
+	Multiobjective duality with invexity	1987	Richard Egudo Morgan A Hanson
+	Pseudoinvexity, optimality conditions and efficiency in multiobjective problems; duality	2006	Manuel Arana‐Jiménez A. Rufián-Lizana R. Osuna-Gómez Gabriel Ruiz Garzón
+	-invexity in multiobjective optimization	2008	C. Nahak R. N. Mohapatra
+	A characterization of pseudoinvexity in multiobjective programming	2008	Manuel Arana‐Jiménez A. Rufián-Lizana R. Osuna-Gómez Gabriel Ruiz Garzón
+	Nondifferentiable multiobjective programming under generalized -invexity	2009	Hachem Slimani Mohammed Saïd Radjef
+	On sufficiency of the Kuhn-Tucker conditions	1981	Morgan A Hanson
+	On Invex Sets and Preinvex Functions	1995	S. R. Mohan Sarmistha Neogy