Jesus Garcia Falset

Jesus Garcia Falset is a Full Professor in the Department of Mathematical Analysis at the Faculty of Mathematics, University of Valencia, Spain. He has been an active researcher since the early 1990s, with a primary focus on nonlinear functional analysis and fixed point theory in Banach spaces.

• Doctorate: University of Valencia (1990), thesis on Banach spaces and fixed point properties.
• Position: Catedrático de Universidad (Full Professor).
• Department: Mathematical Analysis.
• Faculty: Faculty of Mathematics.
• Email: jesus.garcia@uv.es.
• Homepage: https://www.uv.es/garciaf/.

His research lies at the intersection of functional analysis, operator theory, and differential equations. Key interests include fixed point theory for nonexpansive and generalized nonexpansive mappings, geometric properties of Banach spaces (such as uniform nonsquareness and normal structure), measures of noncompactness, accretive operators, and nonlinear semigroups. He has made significant contributions to the understanding of conditions under which Banach spaces possess the fixed point property. His work often involves the application of topological and geometric methods to prove existence results for differential and integral equations in infinite-dimensional spaces.

The 15 most recent articles highlight a consistent research trajectory in nonlinear functional analysis. They explore fixed point theorems for various classes of mappings (pseudocontractive, multivalued, generalized nonexpansive), the role of measures of noncompactness, and applications to differential equations in Banach spaces, including models for cell population growth. There is a strong emphasis on existence, uniqueness, and well-posedness of solutions using abstract functional-analytic frameworks.

While specific scientific awards are not mentioned in the provided text, his extensive publication record (66 publications, including a book), high citation count (over 800 citations in zbMATH), and long-standing professorship indicate significant recognition within the mathematical community.

Dr. Garcia Falset has supervised or collaborated with several researchers, including notable co-authors like Enrique Llorens-Fuster, David Ariza-Ruiz, Khalid Latrach, and Simeon Reich. His collaborative work spans topics in fixed point theory, differential equations, and operator theory. No specific grants or funding sources are mentioned in the provided information.

He is associated with the research group in Mathematical Analysis at the University of Valencia. His work contributes to the theoretical foundations used in mathematical biology and dynamical systems, particularly through the analysis of evolution equations. His homepage and presence in zbMATH, MGP, and Wikidata reflect an active academic profile.