This paper aims to find a solution of interval uncertainty to multiobjective variational problems. For this, we consider an interval -valued multiobjective variational problem. Then, by using the modified F -objective...
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This paper aims to find a solution of interval uncertainty to multiobjective variational problems. For this, we consider an interval -valued multiobjective variational problem. Then, by using the modified F -objective function method, we construct associated interval -valued multiobjective variational problem with the modified F -objective functions. We establish a relationship between LU-pareto optimal solution of original problem and its associated modified problem by using the concept of LU-F-convexity and LU-F-pseudoconvexity. Further, we define LULagrange function and its saddle point to discuss the efficient solution of original problem through it. We provide an example to validate our results numerically.
In this paper, a general local fractional integral identity on fractal set R-alpha (0 < alpha <= 1) is established. We obtain some general local fractional integral inequalities for twice differentiable generali...
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In this paper, a general local fractional integral identity on fractal set R-alpha (0 < alpha <= 1) is established. We obtain some general local fractional integral inequalities for twice differentiable generalized convex functions. Based on these results, we derive some special inequalities. Some applications to error estimations for numerical integration and to special means are also given.
In this paper, we introduce the concept of generalized (alpha, m)-convexfunctions. Some new integral inequalities related to left hand side of the Hermite-Hadamard type for the class of functions whose second derivat...
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In this paper, we introduce the concept of generalized (alpha, m)-convexfunctions. Some new integral inequalities related to left hand side of the Hermite-Hadamard type for the class of functions whose second derivative at certain powers are generalized (alpha, m)-functions are proved. Some special cases are also discussed. The idea and technique of this paper may stimulate further research in this field.
Employing some advanced tools of variational analysis and generalized differentiation, we establish necessary conditions for local (weakly) efficient solutions of a nonsmooth fractional multiobjective optimization pro...
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Employing some advanced tools of variational analysis and generalized differentiation, we establish necessary conditions for local (weakly) efficient solutions of a nonsmooth fractional multiobjective optimization problem with an infinite number of inequality constraints. Sufficient conditions for such solutions to the considered problem are also obtained by means of proposing the use of (strictly) generalized convex functions. In addition, we state a dual problem to the primal one and explore duality relations. (C) 2016 Elsevier B.V. All rights reserved.
In this paper, new classes of generalized convex functions are introduced for non-smooth multi -objective programming problem, mixed type dual problem is established, weak, strong duality theorems are derived under ne...
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ISBN:
(纸本)9781509048403
In this paper, new classes of generalized convex functions are introduced for non-smooth multi -objective programming problem, mixed type dual problem is established, weak, strong duality theorems are derived under new convexity.
In this paper, new classes of generalized convex functions are introduced for non-smooth multi-objective programming problem, mixed type dual problem is established, weak, strong duality theorems are derived under new...
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ISBN:
(纸本)9781509048410
In this paper, new classes of generalized convex functions are introduced for non-smooth multi-objective programming problem, mixed type dual problem is established, weak, strong duality theorems are derived under new convexity.
The Hardy-Littlewood-Polya majorization theorem is extended to the framework of some spaces with a curved geometry (such as the global NPC spaces and the Wasserstein spaces). We also discuss the connection between our...
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The Hardy-Littlewood-Polya majorization theorem is extended to the framework of some spaces with a curved geometry (such as the global NPC spaces and the Wasserstein spaces). We also discuss the connection between our concept of majorization and the subject of Schur convexity. Several applications are included. (C) 2013 Elsevier Inc. All rights reserved.
This paper deals with a nonsmooth semi-infinite multiobjective/vector optimization problem (SIMOP, for short). We first establish necessary and sufficient conditions for (local) strongly isolated solutions and (local)...
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This paper deals with a nonsmooth semi-infinite multiobjective/vector optimization problem (SIMOP, for short). We first establish necessary and sufficient conditions for (local) strongly isolated solutions and (local) positively properly efficient solutions of an SIMOP. Then, we propose a dual problem to the SIMOP under consideration and examine weak and strong duality relations between them.
In this paper we introduce a new monotonicity concept for multivalued operators, respectively, a new convexity concept for real valued functions, which generalize several monotonicity, respectively, convexity notions ...
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In this paper we introduce a new monotonicity concept for multivalued operators, respectively, a new convexity concept for real valued functions, which generalize several monotonicity, respectively, convexity notions already known in literature. We present some fundamental properties of the operators having this monotonicity property. We show that if such a monotonicity property holds locally then the same property holds globally on the whole domain of the operator. We also show that these two new concepts are closely related. As an immediate application we furnish some surjectivity results in finite dimensional spaces.
Rueda and Hanson have given sufficient optimality criteria for a nonlinear programming problem by introducing pseudo-type I and quasi-type I functions. Recently Hanson defined second order type-I functions. In this pa...
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Rueda and Hanson have given sufficient optimality criteria for a nonlinear programming problem by introducing pseudo-type I and quasi-type I functions. Recently Hanson defined second order type-I functions. In this paper, second order pseudo-type I, second order quasi-type I, and their natural generalizations are defined and applied to second order duality results for several mathematical programs.
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