Fréchet subdifferential calculus for interval-valued functions and its applications in nonsmooth interval optimization
DOI10.23952/jnva.7.2023.5.09zbMath1529.49009OpenAlexW4387260750MaRDI QIDQ6085819
Publication date: 12 December 2023
Published in: Journal of Nonlinear and Variational Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.23952/jnva.7.2023.5.09
weak sharp minimainterval-valued functionsweak efficient solutioninterval optimisation\(gH\)-Fréchet subgradient
Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52) Fréchet and Gateaux differentiability in optimization (49J50)
Cites Work
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- KKT optimality conditions in interval valued multiobjective programming with generalized differentiable functions
- Nonsmooth interval-valued optimization and saddle-point optimality criteria
- Fractional calculus for interval-valued functions
- New efficiency conditions for multiobjective interval-valued programming problems
- Wolfe duality for interval-valued optimization
- Generalized Hukuhara differentiability of interval-valued functions and interval differential equations
- Subgradient methods for saddle-point problems
- Multiobjective programming in optimization of interval objective functions -- a generalized approach
- Discrete time high-order schemes for viscosity solutions of Hamilton- Jacobi-Bellman equations
- Optimality conditions and duality results for nonsmooth vector optimization problems with the multiple interval-valued objective function
- Optimality conditions of type KKT for optimization problem with interval-valued objective function via generalized derivative
- Efficient solution of interval optimization problem
- Duality results for interval-valued pseudoconvex optimization problem with equilibrium constraints with applications
- A variable and a fixed ordering of intervals and their application in optimization with interval-valued functions
- Optimality and duality in non-differentiable interval valued multiobjective programming
- Extended Karush-Kuhn-Tucker condition for constrained interval optimization problems and its application in support vector machines
- Duality gap in interval linear programming
- Interval differential evolution with dimension-reduction interval analysis method for uncertain optimization problems
- The Karush--Kuhn--Tucker optimality conditions in an optimization problem with interval-valued objective function
- Continuous minimax optimization using modal intervals
- On the cones of tangents with applications to mathematical programming
- Optimality conditions and duality results for non-differentiable interval optimization problems
- Generalized Hukuhara Gâteaux and Fréchet derivatives of interval-valued functions and their application in optimization with interval-valued functions
- Weak Sharp Minima in Mathematical Programming
- Fréchet subdifferential calculus and optimality conditions in nondifferentiable programming
- Introduction to Interval Analysis
- Optimal Control and Semicontinuous Viscosity Solutions
- Second-Order Hamilton–Jacobi Equations in Infinite Dimensions
- Variational Analysis
- Quasi-Newton Bundle-Type Methods for Nondifferentiable Convex Optimization
- Necessary Suboptimality and Optimality Conditions via Variational Principles
- Extremal characterizations of asplund spaces
- Sub- and superoptimality principles of dynamic programming revisited
- Existence of solution of constrained interval optimization problems with regularity concept
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