Fixed point theorems for some new nonlinear mappings in Hilbert spaces

نویسندگان

  • Lai-Jiu Lin
  • Chih-Sheng Chuang
  • Zenn-Tsun Yu
چکیده

* Correspondence: [email protected]. edu.tw Department of Mathematics, National Changhua University of Education, Changhua, 50058, Taiwan Full list of author information is available at the end of the article Abstract In this paper, we introduced two new classes of nonlinear mappings in Hilbert spaces. These two classes of nonlinear mappings contain some important classes of nonlinear mappings, like nonexpansive mappings and nonspreading mappings. We prove fixed point theorems, ergodic theorems, demiclosed principles, and Ray’s type theorem for these nonlinear mappings. Next, we prove weak convergence theorems for Moudafi’s iteration process for these nonlinear mappings. Finally, we give some important examples for these new nonlinear mappings.

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تاریخ انتشار 2011