On Regular Operator Approximation-Theory
Abbreviated Journal Title
J. Math. Anal. Appl.
NONLINEAR EQUATIONS; SOLVABILITY; Mathematics, Applied; Mathematics
In this paper the approximation-solvability of nonlinear operator equations involving phi-pseudo-monotone operators and their compact perturbations is considered not by the projection methods, but by a more general method of regular operator approximation theory-an improvement over the usual convergence method of approximate solutions in the sense that it yields the convergence of approximate solutions under minimal hypotheses. First, we obtain results in a Hilbert space setting and then upgrade them to the case of reflexive Banach spaces. Finally, an application is considered. (C) 1994 Academic Press, Inc.
Journal of Mathematical Analysis and Applications
"On Regular Operator Approximation-Theory" (1995). Faculty Bibliography 1990s. 1228.