%0 Journal Article
%T Generalized first-order nonlinear evolution equations and generalized Yosida approximations based on H-maximal monotonicity frameworks
%A Ram U. Verma
%J Electronic Journal of Differential Equations
%D 2009
%I Texas State University
%X First a general framework for the Yosida approximation is introduced based on the relative H-maximal monotonicity model, and then it is applied to the solvability of a general class of first-order nonlinear evolution equations. The obtained results generalize and unify a wide range of results to the context of the solvability of first-order nonlinear evolution equations in several settings.
%K Generalized first-order evolution equations
%K variational problems
%K maximal monotone mapping
%K relative H-maximal monotone mapping
%K relative H-maximal accretive mapping
%K generalized resolvent operator
%K general Yosida approximations
%U http://ejde.math.txstate.edu/Volumes/2009/85/abstr.html