Fixed Point of Strong Duality Pseudocontractive Mappings and Applications

Baowei Liu

Abstract and Applied Analysis, 2012, vol. 2012, 1-7

Abstract:

Let E be a smooth Banach space with the dual , an operator is said to be α -strong duality pseudocontractive if , for all , where α is a nonnegative constant. An element is called a duality fixed point of T if . The purpose of this paper is to introduce the definition of α -strong duality pseudocontractive mappings and to study its fixed point problem and applications for operator equation and variational inequality problems.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:623625

DOI: 10.1155/2012/623625

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