Dr. Claudio Morales

Professor, Mathematical Sciences Department

Selected Publications

  • Morales, Claudio H., and Aniefiok Udomene. "THE INVARIANCE OF DOMAIN FOR $ k $-SET-PSEUDO-CONTRACTIVE OPERATORS IN BANACH SPACES." Taiwanese Journal of Mathematics 18.6 (2014): pp-1827.
  • Marino, Giuseppe, et al. "Iterative Methods and Applications 2014." J. Applied Mathematics 2015 (2015): 207976-1.
  • Gajardo, Pedro, Claudio H. Morales, and Juan Peypouquet. "Monotonicity beyond Minty and Kato on locally convex spaces." Journal of Mathematical Analysis and Applications 435.2 (2016): 1701-1709.
  • Convergence of Paths for Pseudo-contractive Mappings in Banach Spaces (with J. S. Jung), Proc. Amer. Math. Soc., 128 (2000), 3411-34-19.
  • Convergence of the Steepest Descent Method for Accretive Operators (with C.E. Chidume), Proc. Amer. Math. Soc., 127 (1999), 3677-3683.
  • A Generalization of Bolzano's Theorem, The Lewis-Parker Lecture at the AACTM Annual Meeting, Alabama J. Math., 23 (1999), 3-13.
  • Approximations of Fixed Points for Locally Nonexpansive Mappings, Annales: Universitatis Mariae Curie-Sklodowska, Proceedings of Workshop on Fixed Point Theory, Kazimierz, Poland (1998), 203-212.
  • Locally Accretive Mappings in Banach Spaces, Bull. London Math. Soc., 28 (1996), 627-633.
  • On a Fixed Point Theorem of Kirk (with S.A. Mutangadura), Proc. Amer. Math. Soc., 123 (1995), 3397-3401.
  • On the Approximation of Fixed Points for Locally Pseudo-contractive Mappings (with S.A. Mutangadura), Proc. Amer. Math. Soc., 123 (1995), 417-423 .
  • On linear Ordinary Differential Equations with Functionally Commutative Coefficients Matrices (with J. Zhu), Linear Alg. Appl., 170 (1992), 81-105.
  • On the Range of Sums of Accretive and Continuous Operators in Banach Spaces, Nonlinear Analysis, Theory, Methods and Applications, 19 (1992), 1-9.
  • Multivalued Pseudo-contractive Mappings Defined on Unbounded Sets in Banach Spaces, Comment. Math. Univ. Carolinae, 33 (1992), 625-630.
  • Remarks on Compact Perturbations of M-Accretive Operators, Nonlinear Analysis, Theory, Methods and Applications, 16 (1991), 771-780.
  • Spatial Decomposition of Functionally Commutative Matrices (with J. Zhu), Linear Alg. Appl., 131 (1990), 71-92 .
  • Strong Convergence Theorems for Pseudo-contractive Mappings in Banach spaces, Houston J. Math., 16 (1990), 549-557.