Ergodic theorems for hybrid sequences in a Hilbert space with applications

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:409

Article

Rouhani, Behzad Djafari

关键词: Ergodic theorem;    Asymptotically regular;    Weak convergence theorem;    Generalized hybrid sequence;    Fixed point;    Absolute fixed point;   

DOI  :  10.1016/j.jmaa.2013.06.067

来源: Elsevier

【 摘 要 】

In this paper, we introduce the notion of generalized hybrid sequences, extending the notion of nonexpansive sequences introduced and studied in our previous work Djafari Rouhani (1981, 1990, 1990, 1997, 2002, 2004, 2002) [2-8], and prove ergodic and convergence theorems for such sequences in a Hilbert space H. Subsequently, we apply our results to prove new fixed point theorems for generalized hybrid mappings, first introduced in Kocourek et al. (2010) [14], Takahashi and Takeuchi (2011) [20], defined on arbitrary nonempty subsets of H. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

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