On an application of fixed point theorem to nonlinear inclusions

Shui-Hung Hou

doi:10.3934/proc.2011.2011.692

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2011, Volume 2011: 692-697. Doi: 10.3934/proc.2011.2011.692 open access

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On an application of fixed point theorem to nonlinear inclusions

Shui-Hung Hou^1,

1.
Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong

Received: July 2010

Revised: July 2011

Published: August 2017

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Abstract

Sucient conditions for existence of solutions for a class of nonlinear inclusions in innite dimensional Banach spaces are established. The results are obtained by means of fixed-point theorem for set-valued maps.

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Mathematics Subject Classification: Primary: 47H10; Secondary: 54C60.

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