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2007•Journal of Liaoning Normal UniversityRequires access

Iterative approximation of fixed points for a class of generalized nonexpansive mapping

Jinbiao Hao

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Abstract

This paper shows a discussion about a new iteration method for a class of generalized nonexpansive mapping in nonempty closed convex subset E of any real Banach space x and the establishment of the existence and uniqueness of fixed points like xn+1=αnTk+1xn+(1-αn)Tk+2xn. The results presented in this paper extend and improve the corresponding conclusions in [1] and [2].

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What this paper is about

This paper shows a discussion about a new iteration method for a class of generalized nonexpansive mapping in nonempty closed convex subset E of any real Banach space x and the establishment of the existence and uniqueness of fixed points like xn+1=αnTk+1xn+(1-αn)Tk+2xn. The results presented in this paper extend and improve the corresponding conclusions in [1] and [2].

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Available abstract

This paper shows a discussion about a new iteration method for a class of generalized nonexpansive mapping in nonempty closed convex subset E of any real Banach space x and the establishment of the existence and uniqueness of fixed points like xn+1=αnTk+1xn+(1-αn)Tk+2xn. The results presented in this paper extend and improve the corresponding conclusions in [1] and [2].

Key concepts: Fixed point, Banach space, Uniqueness, Regular polygon, Mathematics, Class (philosophy), Pure mathematics, Iterative method

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