On an application of fixed point theorem to nonlinear inclusions

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2011, 2011(Special): 692-697. doi: 10.3934/proc.2011.2011.692

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, China

Received July 2010 Revised July 2011 Published October 2011

Abstract
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Under a Creative Commons license

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.

Keywords: inclusions, selections, closure theorem, Fixed points, set-valued maps.

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

Citation: Shui-Hung Hou. On an application of fixed point theorem to nonlinear inclusions. Conference Publications, 2011, 2011 (Special) : 692-697. doi: 10.3934/proc.2011.2011.692

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