On generalized {\Phi}-strongly monotone mappings and algorithms for the solution of equations of Hammerstein type
Abstract
In this paper, we consider the class of generalized {\Phi}-strongly monotone mappings and the methods of approximating a solution of equations of Hammerstein type. Auxiliary mapping is defined for nonlinear integral equations of Hammerstein type. The auxiliary mapping is the composition of bounded generalized {\Phi}-strongly monotone mappings which satisfy the range condition. Suitable conditions are imposed to obtain the boundedness and to show that the auxiliary mapping is a generalized {\Phi}-strongly which satisfies the range condition. A sequence is constructed and it is shown that it converges strongly to a solution of equations of Hammerstein type. The results in this paper improve and extend some recent corresponding results on the approximation of a solution of equations of Hammerstein type.
Keywords
Cite
@article{arxiv.2008.07851,
title = {On generalized {\Phi}-strongly monotone mappings and algorithms for the solution of equations of Hammerstein type},
author = {M. O. Aibinu and O. T. Mewomo},
journal= {arXiv preprint arXiv:2008.07851},
year = {2021}
}
Comments
16 pages. International Journal of Nonlinear Analysis and Applications