Higher order strict global minimizers in non-differentiable multiobjective optimization involving higher order invexity and variational inequality
From MaRDI portal
Publication:6191709
DOI10.1007/s12597-023-00670-zOpenAlexW4385368783MaRDI QIDQ6191709
Rishi Rajan Sahay, Guneet Bhatia
Publication date: 11 March 2024
Published in: Opsearch (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12597-023-00670-z
dualityoptimalitymultiobjective optimizationvariational-like inequality problemhigher order strict minimizerhigher order strong invexity
Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46) Variational inequalities (49J40) Convexity of real functions of several variables, generalizations (26B25) Operations research and management science (90Bxx)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Characterizations of the solution sets of pseudoinvex programs and variational inequalities
- Strict global minimizers and higher-order generalized strong invexity in multiobjective optimization
- Duality in nonlinear programming
- On strong KKT optimality conditions for multiobjective semi-infinite programming problems with Lipschitzian data
- A class of generalized invex functions and vector variational-like inequalities
- Criteria for generalized invex monotonicities
- On strong pseudoconvexity in nonlinear programming duality
- A note on strong pseudoconvexity
- Vector optimization and variational-like inequalities
- Theory of multiobjective optimization
- Pre-invex functions in multiple objective optimization
- On sufficiency of the Kuhn-Tucker conditions
- Perfect duality for convexlike programs
- Strong uniqueness: A far-reaching criterion for the convergence analysis of iterative procedures
- Characterizations of strict local minima and necessary conditions for weak sharp minima
- Some exact penalty results for nonlinear programs and mathematical programs with equilibrium constraints
- Nonsmooth multiobjective problems and generalized vector variational inequalities using quasi-efficiency
- Relationships between vector variational-like inequality and optimization problems
- On invex sets and preinvex functions
- On approximately star-shaped functions and approximate vector variational inequalities
- Optimality and duality for multiobjective semi-infinite variational problem using higher-order B-type I functions
- Characterizations of the approximate solution sets of nonsmooth optimization problems and its applications
- Duality for nonlinear programming problems with strong pseudoinvexity constraints
- Nonsmooth variational-like inequalities and nonsmooth vector optimization
- Modified objective function method in nonsmooth vector optimization over cones
- Optimality and mixed saddle point criteria in multiobjective optimization
- Stability in Mathematical Programming with Nondifferentiable Data
- Vector Variational Inequalities and Vector Optimization
- On vector optimization problems and vector variational inequalities using convexificators
- Sufficient conditions for the stability of local minimum points in nonsmooth optimization
- Optimality conditions and duality results for a new class of nonconvex nonsmooth vector optimization problems
- On duality theory for multiobjective semi-infinite fractional optimization model using higher order convexity
- On generalized approximate convex functions and variational inequalities
- Duality for Semi-Infinite Minimax Fractional Programming Problem Involving Higher-Order (Φ,ρ)-V-Invexity
- Vector variational-like inequality with pseudoinvexity
- Fritz John type optimality and duality in nonlinear programming under weak pseudo-invexity
- Vector critical points and efficiency in vector optimization with Lipschitz functions
