Fréchet and Gateaux gH-differentiability for interval valued functions of multiple variables
From MaRDI portal
Publication:6653426
DOI10.1016/j.ins.2024.121601MaRDI QIDQ6653426
Manuel Arana-Jiménez, Laerte Sorini, Luciano Stefanini
Publication date: 16 December 2024
Published in: Information Sciences (Search for Journal in Brave)
interval valued functionsFréchet gH-differentiabilityGateaux gH-derivativegH-linearityinterval gH-gradientinterval Jacobian and Hessian matrices
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Single level constraint interval arithmetic
- Generalized fuzzy differentiability with LU-parametric representation
- Calculus for interval-valued functions using generalized Hukuhara derivative and applications
- Generalized derivative and \(\pi \)-derivative for set-valued functions
- On functions representable as a difference of convex functions
- Differentials of fuzzy functions
- Duality theory for optimization problems with interval-valued objective functions
- A generalization of Hukuhara difference and division for interval and fuzzy arithmetic
- Generalized Hukuhara differentiability of interval-valued functions and interval differential equations
- Calculus for interval functions of a real variable
- A parametrized sum of fuzzy numbers with applications to fuzzy initial value problems
- Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations
- Optimality conditions of type KKT for optimization problem with interval-valued objective function via generalized derivative
- Calculus for linearly correlated fuzzy function using Fréchet derivative and Riemann integral
- Quasilinear approximation for interval-valued functions via generalized Hukuhara differentiability
- On generating the set of nondominated solutions of a linear programming problem with parameterized fuzzy numbers
- Fréchet derivative for linearly correlated fuzzy function
- An approach for solving a fuzzy multiobjective programming problem
- A new gH-difference for multi-dimensional convex sets and convex fuzzy sets
- Karush-Kuhn-Tucker conditions for interval and fuzzy optimization in several variables under total and directional generalized differentiability
- Algebra of generalized Hukuhara differentiable interval-valued functions: review and new properties
- Differential calculus of fuzzy multi-variable functions and its applications to fuzzy partial differential equations
- Generalized differentiability of fuzzy-valued functions
- A comparison index for interval ordering based on generalized Hukuhara difference
- Generalized Hukuhara Gâteaux and Fréchet derivatives of interval-valued functions and their application in optimization with interval-valued functions
- Variational Analysis
- Nondominated solutions in a fully fuzzy linear programming problem
- Optimality conditions for invex interval valued nonlinear programming problems involving generalized H-derivative
- Convex Analysis
- Expansion of Generalized Hukuhara Differentiable Interval Valued Function
- Convex analysis and monotone operator theory in Hilbert spaces
- Calculus for linearly correlated fuzzy number-valued functions
- Gradient-based descent linesearch to solve interval-valued optimization problems under gH-differentiability with application to finance
This page was built for publication: Fréchet and Gateaux gH-differentiability for interval valued functions of multiple variables