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The Research Seminar is a weekly space that focuses on various areas of applied mathematics, with special emphasis on Mathematical Optimization and Modeling. The main objective is to share the research results of the Modemat and put the researchers of the Center in contact with academics from all over the world, in person or through virtual platforms. Organizer of the seminar: Sergio González Andrade. To subscribe to the Seminar mailing list or propose a talk in it, please write to: sergio.gonzalez@epn.edu.ec

Closedness under addition for families of quasimonotone operators

Closedness under addition for families of quasimonotone operators

By Prof. Dra. Yboon García. Universidad del Pacífico, Perú.

Seminar Date: 2022-05-26

In this talk we will discuss some results about quasimonotone family of operators. For some notions that are extensions of monotoniticity but not beyond quasimonotonicity like pseudomonotonicity, semistrict quasimonotonicity, strict quasimonotonicity and proper quasimonotonicity, we will discuss systematically when the sum of two operators satisfying one of those properties, inherits the same property. Several examples showing the optimality in some sense of our results, are presented. Joint work with: Fabián Flores-Bazán and Nicolas Hadjisavvas.

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