A general composite steepest-descent method for hierarchical fixed point problems of strictly pseudocontractive mappings in Hilbert spaces


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


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