A general composite steepest-descent method for hierarchical fixed point problems of strictly pseudocontractive mappings in Hilbert spaces
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Authors
Lu-Chuan Ceng
- Department of Mathematics, Shanghai Normal University, Shanghai 200234, China.
Ching-Feng Wen
- Center for Fundamental Science, and Research Center for Nonlinear Analysis and Optimization, Kaohsiung Medical University, Kaohsiung, 807, Taiwan.
Abstract
In this paper, we propose general composite implicit and explicit steepest-descent schemes for hierarchical
fixed point problems of strictly pseudocontractive mappings in a real Hilbert space. These composite
steepest-descent schemes are based on the well-known viscosity approximation method, hybrid steepestdescent
method and strongly positive bounded linear operator approach. We obtain some strong convergence
theorems under suitable conditions. Our results supplement and develop the corresponding ones announced
by some authors recently in this area.
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ISRP Style
Lu-Chuan Ceng, Ching-Feng Wen, A general composite steepest-descent method for hierarchical fixed point problems of strictly pseudocontractive mappings in Hilbert spaces, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 12, 6274--6293
AMA Style
Ceng Lu-Chuan, Wen Ching-Feng, A general composite steepest-descent method for hierarchical fixed point problems of strictly pseudocontractive mappings in Hilbert spaces. J. Nonlinear Sci. Appl. (2016); 9(12):6274--6293
Chicago/Turabian Style
Ceng, Lu-Chuan, Wen, Ching-Feng. "A general composite steepest-descent method for hierarchical fixed point problems of strictly pseudocontractive mappings in Hilbert spaces." Journal of Nonlinear Sciences and Applications, 9, no. 12 (2016): 6274--6293
Keywords
- General composite steepest-descent method
- strictly pseudocontractive mapping
- hierarchical fixed point problem
- demiclosedness principle
- nonexpansive mapping
- fixed point.
MSC
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