Fixed point theorems and Δ-convergence theorems for generalized hybrid mappings on CAT(0) spaces

被引：0

作者：

Lai-Jiu Lin

Chih-Sheng Chuang

Zenn-Tsun Yu

机构：

[1] National Changhua University of Education,Department of Mathematics

[2] Nan Kai University of Technology,Department of Electronic Engineering

来源：

Fixed Point Theory and Applications | / 2011卷

关键词：

nonexpansive mapping; fixed point; generalized hybrid mapping; CAT(0) spaces;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

共 50 条

[1] Fixed point theorems and Δ-convergence theorems for generalized hybrid mappings on CAT(0) spaces
Lin, Lai-Jiu
Chuang, Chih-Sheng
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[J]. FIXED POINT THEORY AND APPLICATIONS, 2011, : 1 - 15
[2] Fixed point theorems and convergence theorems for Suzuki-generalized nonexpansive mappings in CAT(0) spaces
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[3] FIXED POINT THEOREMS AND WEAK CONVERGENCE THEOREMS FOR GENERALIZED HYBRID MAPPINGS IN HILBERT SPACES
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[8] Fixed point theorems for a semigroup of generalized asymptotically nonexpansive mappings in CAT(0) spaces
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[9] Fixed point theorems for a semigroup of generalized asymptotically nonexpansive mappings in CAT(0) spaces
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[10] SOME CONVERGENCE THEOREMS FOR A HYBRID PAIR OF GENERALIZED NONEXPANSIVE MAPPINGS IN CAT(0) SPACES
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