Phi-Stable Operators And Inner Approximation-Solvability
Abbreviated Journal Title
Proc. Amer. Math. Soc.
A-Proper; Equations; Mathematics, Applied; Mathematics
We extend, by applying a theorem of Petryshyn (1970), the approximation-solvability of the nonlinear functional equations involving strongly stable Hilbert space mappings to the case of strongly phi-stable mappings-a new and rather general class of mappings. These mappings constitute a generalization of monotone mappings. Finally, we upgrade the obtained results to the case of Banach space mappings.
Proceedings of the American Mathematical Society
"Phi-Stable Operators And Inner Approximation-Solvability" (1993). Faculty Bibliography 1990s. 939.