Homotopy and existence of solutions for the nonlinear equation Lx∈Nx

Ravi P. Agarwal; Donal O'Regan

doi:10.1016/S0362-546X(99)00291-6

Homotopy and existence of solutions for the nonlinear equation Lx∈Nx

Ravi P. Agarwal
, Donal O'Regan

Mathematics

National University of Singapore

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

Abstract

The general existence principles of coincidence type for the nonlinear operator equation Lx∈Nx, where L: dom L⊂ X→Y, X and Y are Frechet spaces, are investigated. The method is based on some simple notions of homotopy theory. It extends and unified some ideas of larger class of maps.

Original language	English
Pages (from-to)	537-544
Number of pages	8
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	44
Issue number	4
DOIs	https://doi.org/10.1016/S0362-546X(99)00291-6
Publication status	Published - Apr 2001

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title = "Homotopy and existence of solutions for the nonlinear equation Lx∈Nx",

abstract = "The general existence principles of coincidence type for the nonlinear operator equation Lx∈Nx, where L: dom L⊂ X→Y, X and Y are Frechet spaces, are investigated. The method is based on some simple notions of homotopy theory. It extends and unified some ideas of larger class of maps.",

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AU - Agarwal, Ravi P.

AU - O'Regan, Donal

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N2 - The general existence principles of coincidence type for the nonlinear operator equation Lx∈Nx, where L: dom L⊂ X→Y, X and Y are Frechet spaces, are investigated. The method is based on some simple notions of homotopy theory. It extends and unified some ideas of larger class of maps.

AB - The general existence principles of coincidence type for the nonlinear operator equation Lx∈Nx, where L: dom L⊂ X→Y, X and Y are Frechet spaces, are investigated. The method is based on some simple notions of homotopy theory. It extends and unified some ideas of larger class of maps.

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M3 - Article

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EP - 544

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 4

ER -

Homotopy and existence of solutions for the nonlinear equation Lx∈Nx

Abstract

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