Fixed Point Theory and Applications

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Large strong convergence theorems for total asymptotically strict pseudocontractive semigroup in banach spaces

Li Yang* and Fu H Zhao

Author Affiliations

School of Science, South West University of Science and Technology, Mianyang, Sichuan 621010, China

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Fixed Point Theory and Applications 2012, 2012:24 doi:10.1186/1687-1812-2012-24

Published: 22 February 2012

Abstract

The purpose of this is to introduce and study total asymptotically strict pseudocontractive semigroup, asymptotically strict pseudocontractive semigroup etc. the strong convergence theorems of the explicit iteration process for the new semigroups in arbitrary Banach spaces are established. The results presented in the paper extend and improve some recent results announced by many authors.

Mathematics Subject Classification 2000 (AMS): 47H20; 47H10.

Keywords:
total asymptotically strict pseudocontractive semigroup; asymptotically strict pseudocontractive semigroup; asymptotically demicontraction semigroup; fixed point; normalized duality mapping