Applications of Hilbert’s projective metric to a class of positive nonlinear operators |
| |
Authors: | Min-Jei Huang Chao-Ya Huang |
| |
Institution: | a Department of Mathematics, National Tsing Hua University, Hsinchu 30043, Taiwan b Department of Electrical Engineering, Mingchi University of Technology, Taishan, Taipei 24301, Taiwan |
| |
Abstract: | The purpose of this paper is to study the eigenvalue problems for a class of positive nonlinear operators. Using projective metric techniques and the contraction mapping principle, we establish existence, uniqueness and continuity results for positive eigensolutions of a particular type of positive nonlinear operator. In addition, we prove the existence of a unique fixed point of the operator with explicit norm-estimates. Applications to nonlinear systems of equations and to matrix equations are considered. |
| |
Keywords: | 15A24 15A48 47H07 |
本文献已被 ScienceDirect 等数据库收录! |
|