Demiclosedness principle with applications for asymptotically pseudo-contractions in Hilbert spaces |
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| Authors: | Haiyun Zhou |
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| Affiliation: | Department of Mathematics, Shijiazhuang, Mechanical Engineering College, Shijiazhuang 050003, PR China; College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050016, PR China |
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| Abstract: | In the present paper, we establish a demiclosedness principle for asymptotically pseudo-contractions in Hilbert spaces. As its applications, we obtain a new fixed point theorem, some weak and strong convergence theorems for asymptotically pseudo-contractions. The results of this paper are interesting extensions of those known results. |
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| Keywords: | Asymptotically pseudo-contraction Uniformly L-Lipschitz condition Uniformly asymptotic regularity Demiclosedness principle Fixed point theorem Convergence theorem |
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