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Optimality conditions for set-valued minimax fractional programming problems
In this paper, we establish the sufficient Karush–Kuhn–Tucker (KKT) conditions for the existence of minimizers of a set-valued minimax fractional...
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Some New Ostrowski Type Integral Inequalities via General Fractional Integrals
In this paper, authors discover an interesting identity regarding Ostrowski type integral inequalities. By using the lemma as an auxiliary result,...
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Multi-objective infinite horizon optimal control problems: characterization of the Pareto fronts and Pareto solutions
In this paper, multi-objective infinite horizon optimal control problems with state constraints are investigated. First, a mono-objective auxiliary...
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Optimality conditions for interval-valued univex programming
We introduce concepts of interval-valued univex map**s, consider optimization conditions for interval-valued univex functions for the constrained...
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The Modified Objective Function Method for Univex Multiobjective Variational Problems
In this paper, we use the modified objective function method for a class of nonconvex multiobjective variational problems involving univex functions....
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Optimality conditions and duality for mathematical programming with equilibrium constraints including multiple interval-valued objective functions on Hadamard manifolds
This paper investigates mathematical programming with equilibrium constraints including multiple interval-valued objective functions on Hadamard...
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Optimality and duality results for E-differentiable multiobjective fractional programming problems under E-convexity
A new class of (not necessarily differentiable) multiobjective fractional programming problems with E -differentiable functions is considered. The...
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Optimality Conditions and Duality for Robust Nonsmooth Multiobjective Optimization Problems with Constraints
In this paper, we investigate a robust nonsmooth multiobjective optimization problem related to a multiobjective optimization with data uncertainty....
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New class of G-Wolfe-type symmetric duality model and duality relations under \(G_{f}\)-bonvexity over arbitrary cones
This paper is devoted to theoretical aspects in nonlinear optimization, in particular, duality relations for some mathematical programming problems....
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Parametric Optimality in Semi-infinite Fractional Programs
Based on the second-order generalized ( \(\phi ,\)...
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Generalized parameter-free duality models in discrete minmax fractional programming based on second-order optimality conditions
In this paper, we construct six generalized second-order parameter-free duality models, and prove several weak, strong, and strict converse duality...
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New Generation Parametric Optimality
Applying the new notion of the generalized $$(\phi ,\eta ,\rho ,\theta...
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Hanson-Antczak-Type Sonvexity III
In this chapter, several second-order parametric duality results under various Hanson-Antczak-type generalized...
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A Branch–Bound Cut Technique for Non-linear Fractional Multi-objective Optimization Problems
This article establishes a branch–bound technique to solve nonlinear convex–convex fractional multi-objective optimization problem in the non-convex...
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Optimality and duality analysis for multiobjective interval-valued semi-infinite optimization problem having vanishing constraints
The article focuses on a semi-infinite optimization model with a disjunctive structure of the constraints. Salient examples of such problems are...
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Semistrictly Preinvex Functions
In Chap. 1, some important properties of preinvex functions are obtained. In this chapter, a new class of generalized convex functions is introduced....
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Next-Generation Semi-infinite Discrete Fractional Programs
In this chapter, applying the new notion of the generalized $$(\phi...