Kuhn-Tucker condition and Wolfe duality of preinvex set-valued optimization
From MaRDI portal
Publication:1030463
DOI10.1007/s10483-006-1208-zzbMath1279.90186OpenAlexW2005660964MaRDI QIDQ1030463
Publication date: 1 July 2009
Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10483-006-1208-z
Optimality conditions and duality in mathematical programming (90C46) Set-valued and variational analysis (49J53)
Related Items (5)
On constrained set-valued optimization problems with \(\rho\)-cone arcwise connectedness ⋮ A class of nonconvex fuzzy optimization problems under granular differentiability concept ⋮ Unnamed Item ⋮ Sufficient optimality conditions and duality theorems for set-valued optimization problem under generalized cone convexity ⋮ Set-valued optimization problems via second-order contingent epiderivative
Cites Work
- Unnamed Item
- Unnamed Item
- On characterizations of prequasi-invex functions
- Optimality criteria in nonlinear programming involving nonconvex functions
- Pre-invex functions in multiple objective optimization
- On sufficiency of the Kuhn-Tucker conditions
- Optimality conditions for set-valued optimization problems
- Directional derivatives for set-valued mappings and applications
- Generalization of preinvex and B-vex functions
- Generalized pseudoconvex functions and multiobjective programming
- Contingent epiderivatives and set-valued optimization
- Lagrangian duality for preinvex set-valued functions
- On the generalized Fritz John optimality conditions of vector optimization with set-valued maps under Benson proper efficiency
- The optimality conditions of nonconvex set-valued vector optimization
- Near-subconvexlikeness in vector optimization with set-valued functions
- On invex sets and preinvex functions
- Invexity and generalized convexity
- A class of nonconvex functions and mathematical programming
- Invex functions and constrained local minima
- The Lagrange Multiplier Rule in Set-Valued Optimization
- GENERALIZED CONTINGENT EPIDERIVATIVES IN SET-VALUED OPTIMIZATION: OPTIMALITY CONDITIONS
- Generalized convexity in multiobjective programming
- On properties of preinvex functions
- Semistrictly preinvex functions
- Generalized constraint qualifications and optimality conditions for set-valued optimization problems
- Characterizations and applications of prequasi-invex functions.
This page was built for publication: Kuhn-Tucker condition and Wolfe duality of preinvex set-valued optimization
