Approximating common fixed points for a pair of generalized nonlinear mappings in convex metric space

Volume 9, Issue 1, pp 1--7 http://dx.doi.org/10.22436/jnsa.009.01.01

Publication Date: January 19, 2016 Submission Date: February 12, 2015

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Authors

Chao Wang - School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, P. R. China. Taizhong Zhang - School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, P. R. China.

Abstract

In this paper, a pair of generalized nonlinear mappings are introduced. Sufficient conditions for the existence of common fixed points for a pair of generalized nonlinear mappings in convex metric spaces are obtained and Krasnoselskii type iterations are used to approximate common fixed points. Our results generalize and extend various known results.

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Keywords

• Nonlinear mappings
• common fixed point
• convex metric spaces
• existence conditions
• Krasnoselskii type iterations.

MSC

•  47H09
•  47H10

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