The book includes selected contributions presented at the "International Meeting on Functional Analysis and Continuous Optimization" held in Elche (Spain) on June 1617, 2022. Its contents cover very recent results in functional analysis, continuous optimization and the interplay between these disciplines. Therefore, this book showcases current research on functional analysis and optimization with individual contributions, as well as new developments in both areas. As a result, the reader will find useful information and stimulating ideas.

Very recent results on functional analysis Presentation of open problems in all chapters Written jointly by researchers in Functional Analysis and researchers in Optimization, using Functional Analysis

Autorentext
José M. Amigó

Full professor of Applied Mathematics at Miguel Hernández University in Elche (Spain). He has (co-)authored 136 publications (Publons), including the monograph "Permutation Complexity in Dynamical Systems" (Springer 2010), and is co-owner of the Spanish patent "Design of Catheters for the Treatment of Hydrocephalus'' (2014). He has been a member of many scientific and organizing committees as well as a speaker at numerous international conferences. His current scientific interests include dynamical systems, information theory and mathematical physics.

María J. Cánovas Full Professor of Statistics and Operational Research at the Miguel Hernández University of Elche from 2012. Her fields of interest include parametric optimization, variational analysis and stability in linear and convex optimization. She has published more than fifty articles in JCR journals in the areas of Applied Mathematics and Statistics and Operations Research and has led different national research projects in Spain. She has organized several international conferences and is a member of the editorial board of the Pacific Journal of Optimization.

Marco A. López- Cerdá is Emeritus Professor at Alicante University, Doctor Honoris Causa by the University of Limoges in 2012, and Corresponding Member of the Real Academia de Ciencias of Spain since 2014. His research subjects include semi-infinite programming, convex optimization, and variational analysis. According to MathSciNet, he published 159 research papers and got 2051 citations by 702 authors

Manuel López-Pellicer is Professor of Functional Analysis (1975-78), Full Professor of Applied Mathematics in Valencia Technical University (1978-15), and now Professor Emeritus. He supervised 11 doctoral theses, with 58 descendants, and has written more than 100 papers in General Topology and Functional Analysis. He is Co-author of the books "Metrizable Barrelled Spaces" (Longman 1995) and "Descriptive Topology in Selected Topics of Functional Analysis" (Springer 2011), Member of Spanish Royal Academy of Sciences (1998-), and Editor of RACSAM (2004-).

Inhalt

M. López-Pellicer: The mathematical research of Juan Carlos Ferrando.- L. Auenhofer: A class of monothetic reflexive groups and the Weil property.- G. Beer and M. Isabel Garrido: Reciprocation and pointwise product in vector lattices of functions.- M. Josefa Cánovas and J. Parra: Lipschitzian stability in linear semi-infinite optimization.- M. Jesús Chasco and E. Martín-Peinador: Bounded duality in topological Abelian groups.- S. Gabriyelyan: Topological properties of the weak and weak topologies of function spaces.- G. García and G. Mora: The Degree of non-densifiability of bounded sets of a Banach space and applications.- A. Hantoute and Marco A. López: A new tour on the subdifferential of the supremum function.- L. Huerga, B. Jiménez and V. Novo: Optimality conditions for quasi proper solutions in multiobjective optimization with a polyhedral cone.- J. Kkol and A. Leiderman: On distinguished spaces Cp(X) of continuous functions.- P. Duy Khanh, Vu Vinh Huy Khoa, Boris S. Mordukhovich and Vo Thanh Phat: Variational convexity of functions in Banach spaces.- W. liwa and Agnieszka Ziemkowska-Siwek: Commutators on power series spaces over non-Archimedean fields.