On interval-valued invex mappings and optimality conditions for interval-valued optimization problems
From MaRDI portal
Publication:264512
DOI10.1186/s13660-015-0692-6zbMath1335.49028OpenAlexW1542370045WikidataQ59434974 ScholiaQ59434974MaRDI QIDQ264512
Jianke Zhang, Lifeng Li, San-Yang Liu
Publication date: 31 March 2016
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13660-015-0692-6
Set-valued and variational analysis (49J53) Optimality conditions for problems involving relations other than differential equations (49K21)
Related Items (14)
Saddle-point optimality criteria involving (p, b, d)-invexity and (p, b, d)-pseudoinvexity in interval-valued optimisation problems ⋮ The \(F\)-objective function method for differentiable interval-valued vector optimization problems ⋮ Interval optimization problems for financial investment and its real-world applications ⋮ On preinvex interval-valued functions and unconstrained interval-valued optimization problems ⋮ Optimality conditions for a class ofE-differentiable vector optimization problems with interval-valued objective functions underE-invexity ⋮ Interval‐valued variational programming problem with Caputo–Fabrizio fractional derivative ⋮ On nondifferentiable semi-infinite multiobjective programming with interval-valued functions ⋮ Necessary and Sufficient Optimality Conditions for Fractional Interval-Valued Optimization Problems ⋮ Optimality conditions for \(E\)-differentiable vector optimization problems with the multiple interval-valued objective function ⋮ Necessary Optimality Condition for Nonlinear Interval Vector Programming Problem Under B-Arcwise Connected Functions ⋮ Optimality conditions for interval-valued univex programming ⋮ On semidifferentiable interval-valued programming problems ⋮ Optimality conditions for fuzzy constrained programming problems ⋮ Optimality and duality for second-order interval-valued variational problems
Cites Work
- Univex interval-valued mapping with differentiability and its application in nonlinear programming
- Generalized derivative and \(\pi \)-derivative for set-valued functions
- Duality theory in interval-valued linear programming problems
- Relationships between pre-invex concepts
- Duality theory for optimization problems with interval-valued objective functions
- Wolfe duality for interval-valued optimization
- Generalized Hukuhara differentiability of interval-valued functions and interval differential equations
- Pre-invex functions in multiple objective optimization
- On sufficiency of the Kuhn-Tucker conditions
- Multiobjective programming in optimization of interval objective functions -- a generalized approach
- Generalized B-vex functions and generalized B-vex programming
- Generalization of preinvex and B-vex functions
- 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
- On invex sets and preinvex functions
- 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
- The KKT optimality conditions in a class of generalized convex optimization problems with an interval-valued objective function
- Posynomial geometric programming with interval exponents and coefficients
- A nonlinear interval number programming method for uncertain optimization problems
- On interval-valued nonlinear programming problems
- What is invexity?
- Invex functions and constrained local minima
- A Decomposition Method for Interval Linear Programming
- \((p,r)\)-invex sets and functions
This page was built for publication: On interval-valued invex mappings and optimality conditions for interval-valued optimization problems
