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Three-step Iterative Solutions Of Operator Equations For Asymptotically Nonexpansive Mappings

Posted on:2005-09-20Degree:MasterType:Thesis
Country:ChinaCandidate:X M AnFull Text:PDF
GTID:2120360155950319Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
In this paper, I am going to study three-step iterative solutions of equations for Asymptotically nonexpensive mappings and Asymptotically Pseudo-contractive mappings. My research will improve the main results in reference [10], moreover the iterative conditions in my paper has generalized the uniformly convex space to arbitrary real Banach space; and the three-step iteration with error has been brought in the paper; The reasoning methods in my paper are not the same as reference [10]. The iterative methods of reference [9] also have been generalized from two-step iteration to three-step iteration and three-step iteration with error.
Keywords/Search Tags:Asymptotically nonexpensive mappings, uniformly L-lipschitz Asymptotically Pseudo-contractive mappings, three-step interation, modified-Ishikawa and modified-Mann interations
PDF Full Text Request
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