Optimality conditions for generalized differentiable interval-valued functions
From MaRDI portal
Publication:1750024
DOI10.1016/j.ins.2015.05.039zbMath1390.90612OpenAlexW2235457012MaRDI QIDQ1750024
Yurilev Chalco-Cano, Rafaela Osuna-Gómez, Beatriz Hernández-Jiménez, Gabriel Ruiz-Garzón
Publication date: 17 May 2018
Published in: Information Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ins.2015.05.039
Fuzzy and other nonstochastic uncertainty mathematical programming (90C70) Fuzzy real analysis (26E50)
Related Items (30)
\(Iq\)-calculus and \(Iq\)-Hermite-Hadamard inequalities for interval-valued functions ⋮ New Jensen and Hermite-Hadamard type inequalities for \(h\)-convex interval-valued functions ⋮ A study of interval optimization problems ⋮ On modified convex interval valued functions and related inclusions via the interval valued generalized fractional integrals in extended interval space ⋮ Saddle-point optimality criteria involving (p, b, d)-invexity and (p, b, d)-pseudoinvexity in interval-valued optimisation problems ⋮ Hermite-Hadamard and Schur-type inequalities for strongly \(h\)-convex fuzzy interval valued functions ⋮ Generalized Hukuhara Gâteaux and Fréchet derivatives of interval-valued functions and their application in optimization with interval-valued functions ⋮ The Hukuhara difference, gH-difference and gH-division are not inclusion isotonic ⋮ On Ekeland's variational principle for interval-valued functions with applications ⋮ Optimality conditions for interval valued optimization problems ⋮ Gradient-based descent linesearch to solve interval-valued optimization problems under gH-differentiability with application to finance ⋮ Necessary and sufficient conditions for interval‐valued differentiability ⋮ Newton's method for interval-valued multiobjective optimization problem ⋮ Interval order relationships based on automorphisms and their application to interval optimization ⋮ Solving the interval-valued optimization problems based on the concept of null set ⋮ Hermite-Hadamard and fractional integral inequalities for interval-valued generalized \(p\)-convex function ⋮ Global stability of interval optimization problems ⋮ Study on differentiability problems of interval-valued functions ⋮ Applying the concept of null set to solve the fuzzy optimization problems ⋮ New properties of the switching points for the generalized Hukuhara differentiability and some results on calculus ⋮ Efficiency in generalised V-KT-pseudoinvex control problems ⋮ Necessary Optimality Condition for Nonlinear Interval Vector Programming Problem Under B-Arcwise Connected Functions ⋮ Optimality conditions for interval-valued univex programming ⋮ Fractional Hermite-Hadamard type inequalities for interval-valued functions ⋮ Some inequalities for interval-valued functions on time scales ⋮ Sufficient optimality criteria for optimization problem involving pseudoconvex interval objective function ⋮ Hermite-Hadamard- and Jensen-type inequalities for interval \((h_1,h_2)\) nonconvex function ⋮ Algebra of generalized Hukuhara differentiable interval-valued functions: review and new properties ⋮ Optimality and duality for second-order interval-valued variational problems ⋮ Expansion of Generalized Hukuhara Differentiable Interval Valued Function
Cites Work
- Uncertainty degree and modeling of interval type-2 fuzzy sets: definition, method and application
- Calculus for interval-valued functions using generalized Hukuhara derivative and applications
- On sufficiency and duality for a class of interval-valued programming problems
- Generalized derivative and \(\pi \)-derivative for set-valued functions
- Differentials of fuzzy functions
- The essence of invexity
- Goal programming problems with interval coefficients and target intervals
- Wolfe duality for interval-valued optimization
- Generalized Hukuhara differentiability of interval-valued functions and interval differential equations
- On sufficiency of the Kuhn-Tucker conditions
- On the differentiability of multifunctions
- Inexact linear programming with generalized resource sets
- Multiobjective programming in optimization of interval objective functions -- a generalized approach
- Minimax regret solution to linear programming problems with an interval objective function
- Data envelopment analysis with imprecise data
- Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations
- On the differentiability of set-valued functions defined on a Banach space and mean value theorem
- The Karush-Kuhn-Tucker optimality conditions in multiobjective programming problems with interval-valued objective functions
- The Karush--Kuhn--Tucker optimality conditions in an optimization problem with interval-valued objective function
- A nonlinear interval number programming method for uncertain optimization problems
- On interval-valued nonlinear programming problems
- Multiobjective programming in optimization of the interval objective function
- Invex functions and constrained local minima
- Unnamed Item
- Unnamed Item
This page was built for publication: Optimality conditions for generalized differentiable interval-valued functions
