Convex optimization of interval valued functions on mixed domains

DOI10.2298/FIL1906715YzbMath1499.49057MaRDI QIDQ5080796

Onsia Nisar, Awais Younus

Publication date: 31 May 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

optimality conditionsgeneralized Hukuhara differenceinterval-valued functions\(LW\) convex function

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Convex functions and convex programs in convex geometry (52A41) Discrete version of topics in analysis (39A12) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Related Items (5)

On the fractional double integral inclusion relations having exponential kernels via interval-valued co-ordinated convex mappings ⋮ Some new concepts related to fuzzy fractional calculus for up and down convex fuzzy-number valued functions and inequalities ⋮ On the fractional integral inclusions having exponential kernels for interval-valued convex functions ⋮ Certain fractional integral inclusions pertaining to interval-valued exponential trigonometric convex functions ⋮ Unnamed Item

Cites Work

• On Gronwall type inequalities for interval-valued functions on time scales
• Hukuhara differentiability of interval-valued functions and interval differential equations on time scales
• KKT optimality conditions in interval valued multiobjective programming with generalized differentiable functions
• Goal programming problems with interval coefficients and target intervals
• Generalized Hukuhara differentiability of interval-valued functions and interval differential equations
• Inexact linear programming with generalized resource sets
• Minimax regret solution to linear programming problems with an interval objective function
• Data envelopment analysis with imprecise data
• Optimality conditions of type KKT for optimization problem with interval-valued objective function via generalized derivative
• Sufficiency and duality in non-smooth interval valued programming problems
• Convex optimization on mixed domains
• The Karush--Kuhn--Tucker optimality conditions in an optimization problem with interval-valued objective function
• Optimality conditions for invex interval valued nonlinear programming problems involving generalized H-derivative
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