Proper or Weak Efficiency via Saddle Point Conditions in Cone-Constrained Nonconvex Vector Optimization Problems

Journal of Optimization Theory and Applications ◽

10.1007/s10957-019-01486-y ◽

2019 ◽

Vol 181 (3) ◽

pp. 787-816 ◽

Author(s):

Fabián Flores-Bazán ◽

Giandomenico Mastroeni ◽

Cristián Vera

Keyword(s):

Saddle Point ◽

Vector Optimization ◽

Optimization Problems ◽

Vector Optimization Problems ◽

Weak Efficiency ◽

Nonconvex Vector Optimization

Download Full-text

E-Saddle Point Criteria for E-differentiable Vector Optimization Problems with Inequality and Equality Constraints

Journal of Mathematics and Statistics ◽

10.3844/jmssp.2019.86.98 ◽

2019 ◽

Vol 15 (1) ◽

pp. 86-98

Author(s):

Tadeusz Antczak ◽

Najeeb Abdulaleem

Keyword(s):

Saddle Point ◽

Vector Optimization ◽

Optimization Problems ◽

Equality Constraints ◽

Vector Optimization Problems ◽

Differentiable Vector

Download Full-text

On the Existence of Weak Efficient Solutions of Nonconvex Vector Optimization Problems

Journal of Optimization Theory and Applications ◽

10.1007/s10957-020-01667-0 ◽

2020 ◽

Vol 185 (3) ◽

pp. 880-902

Author(s):

César Gutiérrez ◽

Rubén López

Keyword(s):

Vector Optimization ◽

Optimization Problems ◽

Efficient Solutions ◽

Vector Optimization Problems ◽

Nonconvex Vector Optimization

Download Full-text

Convergence Results for Weak Efficiency in Vector Optimization Problems with Equilibrium Constraints

Journal of Optimization Theory and Applications ◽

10.1007/s10957-004-1860-x ◽

2005 ◽

Vol 125 (2) ◽

pp. 453-472 ◽

Author(s):

Y N Wu ◽

T C E Cheng

Keyword(s):

Vector Optimization ◽

Optimization Problems ◽

Vector Optimization Problems ◽

Weak Efficiency ◽

Equilibrium Constraints ◽

Convergence Results

Download Full-text

Optimality conditions for weak efficiency to vector optimization problems with composed convex functions

Central European Journal of Mathematics ◽

10.2478/s11533-008-0036-6 ◽

2008 ◽

Vol 6 (3) ◽

pp. 453-468 ◽

Author(s):

Radu Ioan Boţ ◽

Ioan Bogdan Hodrea ◽

Gert Wanka

Keyword(s):

Optimality Conditions ◽

Vector Optimization ◽

Convex Functions ◽

Optimization Problems ◽

Vector Optimization Problems ◽

Weak Efficiency

Download Full-text

Higher Order Efficiency, Saddle Point Optimality, and Duality for Vector Optimization Problems

Numerical Functional Analysis and Optimization ◽

10.1080/01630560701249970 ◽

2007 ◽

Vol 28 (3-4) ◽

pp. 339-352 ◽

Author(s):

Anjana Gupta ◽

Davinder Bhatia ◽

Aparna Mehra

Keyword(s):

Saddle Point ◽

Vector Optimization ◽

Optimization Problems ◽

Higher Order ◽

Vector Optimization Problems ◽

Optimality And Duality

Download Full-text

On Nondifferentiable and Nonconvex Vector Optimization Problems

Journal of Optimization Theory and Applications ◽

10.1023/a:1004697127040 ◽

2000 ◽

Vol 106 (3) ◽

pp. 475-488 ◽

Author(s):

Q. H. Ansari ◽

J> C> Yao

Keyword(s):

Vector Optimization ◽

Optimization Problems ◽

Vector Optimization Problems ◽

Nonconvex Vector Optimization

Download Full-text

On Convergence Results for Weak Efficiency in Vector Optimization Problems with Equilibrium Constraints

Journal of Optimization Theory and Applications ◽

10.1007/s10957-007-9198-9 ◽

2007 ◽

Vol 133 (1) ◽

pp. 117-121 ◽

Author(s):

M. B. Lignola ◽

J. Morgan

Keyword(s):

Vector Optimization ◽

Optimization Problems ◽

Vector Optimization Problems ◽

Weak Efficiency ◽

Equilibrium Constraints ◽

Convergence Results

Download Full-text

Saddle point criteria for second order $\eta$-approximated vector optimization problems

Kybernetika ◽

10.14736/kyb-2016-3-0359 ◽

2016 ◽

pp. 359-378 ◽

Author(s):

Anurag Jayswal ◽

Shalini Jha ◽

Sarita Choudhury

Keyword(s):

Saddle Point ◽

Vector Optimization ◽

Optimization Problems ◽

Second Order ◽

Vector Optimization Problems

Download Full-text

Conic Scalarizations for Approximate Efficient Solutions in Nonconvex Vector Optimization Problems

Journal of the Operations Research Society of China ◽

10.1007/s40305-016-0139-x ◽

2016 ◽

Vol 5 (3) ◽

pp. 419-430

Author(s):

Hui Guo ◽

Wan-li Zhang

Keyword(s):

Vector Optimization ◽

Optimization Problems ◽

Efficient Solutions ◽

Vector Optimization Problems ◽

Approximate Efficient Solutions ◽

Nonconvex Vector Optimization

Download Full-text

An extension of the Basic Constraint Qualification to nonconvex vector optimization problems

Journal of Global Optimization ◽

10.1007/s10898-012-9938-8 ◽

2012 ◽

Vol 56 (4) ◽

pp. 1755-1771 ◽

Author(s):

Bienvenido Jiménez ◽

Vicente Novo ◽

Miguel Sama

Keyword(s):

Vector Optimization ◽

Constraint Qualification ◽

Optimization Problems ◽

Vector Optimization Problems ◽

Basic Constraint Qualification ◽

Nonconvex Vector Optimization ◽

Basic Constraint

Download Full-text