Nonlinear Operators in Ordered Banach Spaces and Isometries in LP-Spaces

Pages:164-165
Gunjan Rana (Department of Mathematics, CMJ University, Shillong)

This paper is devoted to the applications of classical topological degrees to nonlinear problems involving various classes of operators acting between ordered Banach spaces. In this framework, the LeraySchauder, BrowderPetryshyn, and AmannWeiss degree theories are considered, and several existence results are obtained. The non-Archimedean case is also discussed.