A generalization of the Opial's theorem
A generalization of the Schauder fixed point theorem via multivalued contractions
We establish a fixed point theorem for a continuous function , where is a Banach space and . Our result, which involves multivalued contractions, contains the classical Schauder fixed point theorem as a special case. An application is presented.
A Generalization of the Stein-Rosenberg Theorem to Banach Spaces.
A generalization of the uniform ergodic theorem to poles of arbitrary order
A generalization of the Yosida-Kakutani ergodic theorem
A generalization of Vesentini and Wermer's theorems
A generalization of Yano's extrapolation theorem
A generalization related to Schrödinger operatorswith a singular potential.
A generalized 2-D Poincaré inequality.
A generalized Amman's fixed point theorem and its application to Nash equlibrium.
A generalized contraction mapping theorem in E-metric spaces
A generalized hybrid steepest-descent method for variational inequalities in Banach spaces.
A generalized iterative algorithm for generalized successively pseudocontractions.
A generalized nonlinear random equations with random fuzzy mappings in uniformly smooth Banach spaces.
A generalized solution to a Cahn-Hilliard/Allen-Cahn system.
A generalized version of the Gale-Nikaido-Debréu theorem
A generic view on the theorems of Brouwer and Schauder.
A geometric approach to accretivity
We establish a connection between generalized accretive operators introduced by F. E. Browder and the theory of quasisymmetric mappings in Banach spaces pioneered by J. Väisälä. The interplay of the two fields allows for geometric proofs of continuity, differentiability, and surjectivity of generalized accretive operators.
A Geometric Construction of the Discrete Series for Semisimple Lie Groups.
A geometric derivation of the linear Boltzmann equation for a particle interacting with a Gaussian random field, using a Fock space approach
In this article the linear Boltzmann equation is derived for a particle interacting with a Gaussian random field, in the weak coupling limit, with renewal in time of the random field. The initial data can be chosen arbitrarily. The proof is geometric and involves coherent states and semi-classical calculus.