MODIFIED APPROXIMATE PROXIMAL POINT ALGORITHMS FOR FINDING ROOTS OF MAXIMAL MONOTONE OPERATORS |
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Authors: | Zeng LuchuanDeptof Math Shanghai Normal Univ Shanghai China |
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Institution: | (1) Dept. of Math., Shanghai Normal Univ., 200234 Shanghai, China |
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Abstract: | In order to find roots of maximal monotone operators, this paper introduces and studies the modified approximate proximal
point algorithm with an error sequence {e
k} such that
with
and
. Here, the restrictions on {η
k} are very different from the ones on {η
k}, given by He et al (Science in China Ser. A, 2002, 32 (11): 1026–1032.) that
. Moreover, the characteristic conditions of the convergence of the modified approximate proximal point algorithm are presented
by virtue of the new technique very different from the ones given by He et al.
Supported both by the Teaching and Research Award Fund for Outstanding Young Teachers in Higher Educational Institutions of
MOE, China, and by the Dawn Program Fund in Shanghai. |
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Keywords: | modified approximate proximal point algorithm maximal monotone operator convergence |
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