Academic: •Graduate in Mathematics. University of Zaragoza. Spain (1978). •Doctor in Mathematics. University of La Laguna. Spain (1995). Post held: •1997-2002: Associate Professor at the Department of Mathematics, University of Las Palmas de Gran Canaria. •Since 2002: Senior lecturer at the Department of Mathematics, University of Las Palmas de Gran Canaria. Research interests: •Geometry of Banach spaces: This field of research activity comprises metric conditions (moduli of convexity, coduli of smoothness etc.) and compactness conditions in geometry of Banach spaces (near convexity, uniform near convexity, near smoothness, uniform near smoothness, near convexity and near smoothness in product spaces etc.). •Theory of measures of noncompactness: Axiomatic definition of measures of noncompactness (known as Banas-Goebel definition of measures of noncompactness), properties of measures of noncompactness and their miscellaneous applications in nonlinear analysis. Recent Publications: • J. Banas, M. Mursaleen, B. Rzepka, and K. Sadarangani, Compactness conditions in the theory of nonlinear differential and integral equations 2013. • J. Banas, K. Sadarangani, Compactness conditions in the study of functional, differential, and integral equations 2013 • I. Cabrera, J. Harjani, K. Sadarangani, A fixed point theorem for contractions of rational type in partially ordered metric spaces. Annali dell'Universita di Ferrara, 1 (2013). • M. A. Darwish, K. Sadarangani, Nondecreasing solutions of a quadratic Abel equation with supremum in the kernel. Applied Mathematics and Computation, (2013). • I. J. Cabrera, J. Harjani, K. B. Sadarangani, Existence and uniqueness of positive solutions for a singular fractional three-point boundary value problem. Abstract and Applied Analysis 2012, (2012).
Biography Updated on 15 April 2013