Different Levels of Perturbations of the Operators of Hammerstien’s Type Operator Equations
E. Prempeh
Department of Mathematics, KNUST, Kumasi, Ghana.
I. Owusu-Mensah *
Department of Science Education, UEW, Mampong-Ashanti, Ghana.
K. Piesie-Frimpong
Department of Mathematics, UENR, Sunyani, Ghana.
*Author to whom correspondence should be addressed.
Abstract
We have studied perturbations of Hammerstein’s Type Operator Equations in general Banach Spaces. In this paper, two different levels of perturbations have been studied in Hilbert spaces. We prove that these levels satisfy the regularization conditions for Hammerstein type operator equations.
Keywords: Maximal monotone mappings, hammerstein operator equations, regularization, general banach space, hilbert space.