On nonsmooth V-invexity and vector variational-like inequalities in terms of the Michel-Penot subdifferentials
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Publication:479219
DOI10.1007/s11590-013-0707-5zbMath1347.90080OpenAlexW2018094649MaRDI QIDQ479219
Vivek Laha, Bader Al-Shamary, Shashi Kant Mishra
Publication date: 5 December 2014
Published in: Optimization Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11590-013-0707-5
generalized convexityefficient solutionvector variational inequalitiesnon-smooth optimizationMichel-Penot subdifferential
Multi-objective and goal programming (90C29) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Programming in abstract spaces (90C48)
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Cites Work
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- Generalized vector variational-like inequalities and vector optimization
- Second order duality in multiobjective programming
- Some remarks on the Minty vector variational inequality
- Generalized Minty vector variational-like inequalities and vector optimization problems
- Generalized invariant monotonicity and invexity of non-differentiable functions
- Nonsmooth analysis
- Invexity and optimization
- Generalized convexity and optimization. Theory and applications
- Generalized convexity and vector optimization
- Nonsmooth vector optimization problems and Minty vector variational inequalities
- Optimality and duality for nonsmooth multiobjective programming problems with \(V\)-\(r\)-invexity
- The differentiability of real functions on normed linear space using generalized subgradients
- On sufficiency of the Kuhn-Tucker conditions
- A generalized derivative for calm and stable functions
- Generalized convex functions and vector variational inequalities
- On vector variational-like inequalities
- Generalized invexity and generalized invariant monotonicity
- 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
- A note on the paper ``On approximately star-shaped functions and approximate vector variational inequalities
- V-invex functions and vector optimization.
- Vector variational-like inequalities and non-smooth vector optimization problems
- Multiplier Rules Under Mixed Assumptions of Differentiability and Lipschitz Continuity
- On V-r-invexity and vector variational-like inequalities
- Optimality and duality for nonsmooth multiobjective optimization problems with generalized V -r-invexity
- Recent Developments in Vector Optimization
- Nonsmooth minimax programming problems withV−r-invex functions
- Nondifferentiable optimization by smooth approximations
- On generalised convex mathematical programming
- Vector variational inequality as a tool for studying vector optimization problems
- Nondifferentiable Multiplier Rules for Optimization and Bilevel Optimization Problems
- Vector variational-like inequality with pseudoinvexity
- Convex Analysis
- Characterizations and applications of prequasi-invex functions.