Fixed point theorems and Δ-convergence theorems for generalized hybrid mappings on CAT(0) 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 introduce generalized hybrid mapping on CAT(0) spaces. The class of generalized hybrid mappings contains the class of nonexpansive mappings, nonspreading mappings, and hybrid mappings. We study the fixed point theorems of generalized hybrid mappings on CAT(0) spaces. We also consider some iteration processes for generalized hybrid mappings on CAT(0) spaces, and our results generalize some results of fixed point theorems on CAT(0) spaces and Hilbert spaces.

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تاریخ انتشار 2011