کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
844373 908587 2007 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Convergence theorems of iterative algorithms for continuous pseudocontractive mappings
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Convergence theorems of iterative algorithms for continuous pseudocontractive mappings
چکیده انگلیسی

In a real reflexive and strictly convex Banach space EE with a uniformly Gâteaux differentiable norm, we introduced the viscosity iterative process {xt}{xt} given by H.-K. Xu [Viscosity approximation methods for nonexpansive mappings, J. Math. Anal. Appl. 298 (2004) 279–291] to continuous pseudocontractive self-mapping, and proved that the {xt}{xt} strongly converges x∗∈F(T)x∗∈F(T) as t→0t→0 and x∗x∗ is a unique solution in F(T)F(T) to the following variational inequality: 〈f(x∗)−x∗,j(z−x∗)〉≤0for all z∈F(T). We also proposed the modified implicit iteration process {xn}{xn} for continuous pseudocontractive self-mapping, and show that {xn}{xn} strongly converges x∗∈F(T)x∗∈F(T). The results presented extended and improved the corresponding results of H.-K. Xu [Viscosity approximation methods for nonexpansive mappings, J. Math. Anal. Appl. 298 (2004) 279–291].

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 67, Issue 2, 15 July 2007, Pages 486–497
نویسندگان
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