Bibliographic Details
| Title: |
Ergodic theorems for hybrid sequences in a Hilbert space with applications. |
| Authors: |
Djafari Rouhani, Behzad1 behzad@math.utep.edu |
| Source: |
Journal of Mathematical Analysis & Applications. Jan2014, Vol. 409 Issue 1, p205-211. 7p. |
| Subjects: |
Mathematics theorems, Hilbert space, Generalization, Mathematical sequences, Fixed point theory, Stochastic convergence |
| Abstract: |
Abstract: 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 . 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 . [Copyright &y& Elsevier] |
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| Database: |
Engineering Source |
