Wilmer Barrera

Wilmer Barrera holds a Bachelor’s and a Master’s degree in Mathematics from the University of Los Andes, Venezuela, and has more than twelve years of experience teaching undergraduate and graduate courses. He is currently pursuing a Ph.D. in Applied Mathematics at the National Polytechnic School in Quito, Ecuador.

Since 2023, he has been working as a professor at Yachay Tech University. Previously, he served as a Mathematics professor at the University of Los Andes (Venezuela) and at the Technical University of Manabí (Ecuador), teaching in programs such as Mechanical Engineering, Civil Engineering, Electrical Engineering, Business Administration, Public Accounting, Social Sciences, and Education with specializations in Biology, Chemistry, Physics, and Mathematics. His teaching experience includes courses such as Introduction to Mathematics, Mathematical Logic, Calculus I–IV (or their equivalents), Differential Equations, Geometry, Complex Numbers, Mathematical Analysis, Linear Algebra, and Functional Analysis.

His research interests focus on analysis and differential equations, with particular contributions to fixed point theory. Currently, he is studying the algebra of hyperbolic numbers, where he has obtained significant results that have been presented at various conferences. In addition, he has successfully directed several research projects, as well as supervised undergraduate and graduate theses in Mathematics Education and Mathematical Research.

Research Areas

• Mathematical Analysis and Differential Equations

Research Interests

• Fixed Point Theory
• Hyperbolic Numbers
• Initial Value Problems
• Method of Associated Spaces in Initial Value Problems

Publications

• Fixed point theorem for two functions on a hyperbolic value metric space. Bulletin of Computational Applied Mathematics, 12(2), Special Issue V JEM 2023, Eds. Saúl Buitrago Boret and Oswaldo José Larreal Barreto. Received August 5, 2024 – Accepted November 8, 2024. ISSN 2244-8659.
• Barrera, W. A Common Fixed Point Theorem for Two Functions Defined on a Hyperbolic Value Metric Space. In: Cardona, D., Grajales, B. (eds) Analysis and PDE in Latin America. ICMAM 2022. Trends in Mathematics, vol. 10. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-73274-4_8
• Loor Andrade, E. A., & Barrera Yayes, W. E. Sobre teoría del punto fijo y las funciones de control. Estado del arte. Revista Bases de la Ciencia, 7(Especial), 184–200. Universidad Técnica de Manabí, Ecuador. https://doi.org/10.33936/revbasdelaciencia.v7iESPECIAL.4062 Received October 6, 2021 – Accepted December 13, 2022 – Published December 27, 2022.
• Teorema de punto fijo común para funciones ocasionalmente débilmente compatibles satisfaciendo una condición contractiva con alteración de distancia. Novasinergia, 5(2), 23–32. ISSN 2631-2654. DOI: 10.37135/ns.01.10.02
• A common fixed-point theorem for compatible mappings satisfying a contractive condition involving. Bulletin of Computational Applied Mathematics, 9(2), 3–57.
• A fixed point theorem for contractive mappings with nonlinear combinations of rational expressions in b-metric spaces. Fasciculi Mathematici, 58, 29–46. DOI: 10.1515/fascmath-2017-0003