International Journal of Science, Engineering and Computer Technology

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


Affiliations
1 Department of Mathematics, CMJ University, Shillong, India
     

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

Abstract Views: 246  |  PDF Views: 0

Authors

Gunjan Rana
Department of Mathematics, CMJ University, Shillong, India

Abstract


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.