On Minty variational principle for nonsmooth multiobjective optimization problems on Hadamard manifolds

DOI10.1080/02331934.2022.2088369OpenAlexW4283028925WikidataQ114100895 ScholiaQ114100895MaRDI QIDQ6092942

B. B. Upadhyay, Priyanka Mishra, Savin Treanta

Publication date: 23 November 2023

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2022.2088369

zbMATH Keywords

Clarke subdifferentialHadamard manifoldsapproximate vector variational inequalities

Mathematics Subject Classification ID

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)

Related Items (1)

Constraint qualifications and optimality criteria for nonsmooth multiobjective programming problems on Hadamard manifolds

Cites Work

• Vector variational inequalities and vector optimization problems on Hadamard manifolds
• Some relations between vector variational inequality problems and nonsmooth vector optimization problems using quasi efficiency
• Approximate convexity and submonotonicity in locally convex spaces
• Generalized gradients and characterization of epi-Lipschitz sets in Riemannian manifolds
• Approximately convex functions and approximately monotonic operators
• Pareto optimality, game theory and equilibria
• \(\epsilon\)-solutions in vector minimization problems
• Invex functions and generalized convexity in multiobjective programming
• Generalized convex functions and vector variational inequalities
• Smooth nonlinear optimization of \(\mathbb R^n\)
• Approximate convexity and submonotonicity.
• Relationships between interval-valued vector optimization problems and vector variational inequalities
• Variational inequalities on Hadamard manifolds
• Generalized Minty vector variational-like inequalities and vector optimization problems in Asplund spaces
• On approximately star-shaped functions and approximate vector variational inequalities
• Existence results for vector variational inequality problems on Hadamard manifolds
• Vector variational inequalities on Hadamard manifolds involving strongly geodesic convex functions
• A survey of recent developments in multiobjective optimization
• Optimality and mixed saddle point criteria in multiobjective optimization
• Vector variational inequalities for nondifferentiable convex vector optimization problems
• On some non-linear elliptic differential functional equations
• Vector variational inequality with pseudoconvexity on Hadamard manifolds
• Approximate convexity in vector optimisation
• Two Types of Approximate Saddle Points
• Necessary and sufficient conditions in constrained optimization
• Submonotone Subdifferentials of Lipschitz Functions
• On generalised convex mathematical programming
• Vector variational inequality as a tool for studying vector optimization problems
• On the generalization of a direct method of the calculus of variations
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