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99. The Interval-valued optimization problem through variational inequality problems on Hadamard manifolds

Invited abstract in session MA-41: Vector and Set Optimization I, stream Vector and Set Optimization.

Monday, 8:30-10:00
Room: 97 (building: 306)

Authors (first author is the speaker)

1.	Gabriel Ruiz-Garzón
	Estadistica e I.O., University of Cadiz
2.	Rafaela Osuna-Gómez
	University of Seville
3.	Antonio Rufián-Lizana
	University of Seville
4.	Antonio Beato-Moreno
	Estadística e Investigación Operativa, Universidad de Sevilla

Abstract

The aim of this work is to find the solutions of the Interval-valued Optimization Problem through the Variational Interval-valued Problem on Hadamard manifolds. We will use the gH-differentiability for interval-valued functions on Hadamard manifolds and we will extend the Stampacchia and Minty versions of these variational problems given by Euclidean spaces and real valued functions to interval-valued functions on Hadamard manifolds.

Keywords

• Continuous Optimization
• Generalized Convex Optimization
• Mathematical Programming

Status: accepted

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