Approximate optimality conditions and mixed type duality for semi-infinite multiobjective programming problems involving tangential subdifferentials
DOI10.3934/jimo.2022224OpenAlexW4312697805MaRDI QIDQ2698576
Juan Liu, Nan-Jing Huang, Xian-Jun Long
Publication date: 24 April 2023
Published in: Journal of Industrial and Management Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/jimo.2022224
approximate optimality conditiontangential subdifferentialmixed type dualsemi-infinite multiobjective programming
Nonconvex programming, global optimization (90C26) Optimality conditions and duality in mathematical programming (90C46) Semi-infinite programming (90C34)
Related Items (1)
Cites Work
- \(\varepsilon \)-mixed type duality for nonconvex multiobjective programs with an infinite number of constraints
- A new approach to characterize the solution set of a pseudoconvex programming problem
- Nonsmooth semi-infinite programming problem using limiting subdifferentials
- Semi-infinite optimization under convex function perturbations: Lipschitz stability
- On the stability of solutions for semi-infinite vector optimization problems
- Subdifferentials of value functions and optimality conditions for DC and bilevel infinite and semi-infinite programs
- Semi-infinite programming. Workshop, Cottbus, Germany, September 1996
- Normal regularity for the feasible set of semi-infinite multiobjective optimization problems with applications
- Saddle point criteria in nonsmooth semi-infinite minimax fractional programming problems
- Optimality conditions of approximate solutions for nonsmooth semi-infinite programming problems
- On strong KKT type sufficient optimality conditions for multiobjective semi-infinite programming problems with vanishing constraints
- On optimality conditions and duality theorems for robust semi-infinite multiobjective optimization problems
- Mixed type duality in multiobjective programming problems
- Quasi \(\epsilon\)-solutions in a semi-infinite programming problem with locally Lipschitz data
- Characterizing the solution set of convex optimization problems without convexity of constraints
- On the Mangasarian-Fromovitz constraint qualification and Karush-Kuhn-Tucker conditions in nonsmooth semi-infinite multiobjective programming
- Nonsmooth semi-infinite multiobjective optimization problems
- How to solve a semi-infinite optimization problem
- Optimality conditions and duality for nondifferentiable multiobjective semi-infinite programming problems with generalized \((C,\alpha,\rho,d)\)-convexity
- Optimality conditions for pseudoconvex minimization over convex sets defined by tangentially convex constraints
- Some characterizations of approximate solutions for robust semi-infinite optimization problems
- OPTIMALITY CONDITIONS AND DUALITY FOR SEMI-INFINITE PROGRAMMING INVOLVING SEMILOCALLY TYPE I-PREINVEX AND RELATED FUNCTIONS
- Constraint Qualifications in Semi-Infinite Systems and Their Applications in Nonsmooth Semi-Infinite Problems with Mixed Constraints
- Subdifferentials of Marginal Functions in Semi-infinite Programming
- Strong Karush–Kuhn–Tucker optimality conditions for multiobjective semi-infinite programming via tangential subdifferential
- On constraint qualifications in directionally differentiable multiobjective optimization problems
- Calmness Modulus of Linear Semi-infinite Programs
- Characterizing the Solution Set for Nonconvex Semi-Infinite Programs Involving Tangential Subdifferentials
- Robust approximate optimal solutions for nonlinear semi-infinite programming with uncertainty
- Karush-Kuhn-Tucker Optimality Conditions and Duality for Multiobjective Semi-Infinite Programming Via Tangential Subdifferentials
- Optimality Conditions and Duality for Semi-Infinite Mathematical Programming Problem with Equilibrium Constraints
- Subdifferentials of Nonconvex Supremum Functions and Their Applications to Semi-infinite and Infinite Programs with Lipschitzian Data
- Quasi-Slater and Farkas--Minkowski Qualifications for Semi-infinite Programming with Applications
- New Farkas-type constraint qualifications in convex infinite programming
- Dini derivatives in optimization — Part I
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Approximate optimality conditions and mixed type duality for semi-infinite multiobjective programming problems involving tangential subdifferentials