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http://dx.doi.org/10.4134/CKMS.2010.25.4.571

IMPLICIT ITERATION PROCESS FOR COMMON FIXED POINTS OF AN INFINITE FAMILY OF STRICTLY PSEUDOCONTRACTIVE MAPPINGS IN BANACH SPACES

Chang, Shih-Sen (DEPARTMENT OF MATHEMATICS YIBIN UNIVERSITY)
Cho, Yeol-Je (DEPARTMENT OF MATHEMATICS EDUCATION AND THE RINS GYEONGSANG NATIONAL UNIVERSITY)
Kim, Jong-Kyu (DEPARTMENT OF MATHEMATICS EDUCATION KYUNGNAM UNIVERSITY)

Publication Information

Communications of the Korean Mathematical Society / v.25, no.4, 2010 , pp. 571-581 More about this Journal

Abstract

Some convergence theorems for approximating to a common fixed point of an infinite family of strictly pseudocontractive mappings of Browder-Petryshyn type are proved in the setting of Banach spaces by using a new composite implicit iterative process with errors. The results presented in the paper generalize and improve the main results of Bai and Kim [1], Gu [4], Osilike [5], Su and Li [7], and Xu and Ori [8].

Keywords

strictly pseudocontractive mapping of Browder-Petryshyn type; implicit iteration process with errors; common fixed point;

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Reference

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