Functional analysis · Fixed point theory
Professor and researcher in Mathematics
Department of Mathematics · Federal University of Ceará
My research explores the connections between the geometry of Banach spaces, nonexpansive mappings, and the existence of fixed points.
2025 — 2026
2026 · Published article
Journal of Fixed Point Theory and Applications 28, 51 (2026)
Retraction methods for constructing fixed point free mappings on unit balls of Banach spaces.
Read at the journal ↗2025 · Published article
Results in Mathematics 80, 157 (2025)
Moduli of continuity, fixed point properties, and approximate fixed point properties.
Read at the journal ↗2025 · Published article
Banach Journal of Mathematical Analysis 19, 16 (2025)
Connections between spreading models, Schauder bases, and fixed points for Cesàro mean nonexpansive mappings.
Read at the journal ↗Hölder-contractive mappings, nonlinear extension problem and fixed point free results.
Cleon S. Barroso · Journal of Mathematical Analysis and Applications 528, 127521 (2023).
Basis selection and fixed point results for affine mappings.
Cleon S. Barroso · Torrey M. Gallagher · Journal of Fixed Point Theory and Applications 24, 67 (2022).
Isometric embedding of Banach spaces under optimal projection constants.
Cleon S. Barroso · Bulletin des Sciences Mathématiques 168, 102968 (2021).
Weak compactness and fixed point property for affine bi-Lipschitz maps.
Cleon S. Barroso · Valdir Ferreira · Journal of Mathematical Analysis and Applications 494, 124647 (2021).
arXiv submissions · 2024–2026
Versions available on arXiv, including work subsequently published in journals. Where identified, the published version is linked below the preprint.
Geometry and structure in infinite-dimensional spaces
Linear structure, bases, and geometric properties of normed spaces.
Nonexpansive mappings and fixed point properties of Banach spaces.
Embeddings of Banach spaces and connections between linear and geometric structures.
Existence and approximation problems in infinite-dimensional settings.
Manuscript and Lean formalization
A project on transfinite propagation systems and the ball fixed point property of C(K), accompanied by Lean code, build instructions, and a correspondence between the paper’s statements and their formal counterparts.
I was born in Manaus, Amazonas. My mathematical education began at the Federal University of Amazonas and continued at the Federal University of Ceará, where I teach and conduct research.
Universidade Federal do Amazonas · UFAM
Universidade Federal do Ceará · UFC
Advisor: Levi L. de Lima · UFC
Courses
Graduate supervision
Department of Mathematics
Federal University of Ceará
Campus do Pici · Block 914
Av. Humberto Monte, s/n
Fortaleza, CE · 60455-760 · Brazil
