Stability of Positive Fixed Points of Nonlinear Operators |
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| Authors: | Chen Yong-Zhuo |
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| Institution: | (1) Department of Mathematics, Computer Science, and Engineering, University of Pittsburgh at Bradford, Bradford, PA 16701, USA |
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| Abstract: | This paper considers the stability of positive fixed points of nonlinear operators under purturbations. Through the use of the Thompson's metric, we obtain the results in ordered Banach spaces by proving the corresponding results in metric spaces first. An application to the existence of periodic solutions for a parametrized system of ordinary differential equations is given. |
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| Keywords: | cone contraction type mapping fixed point metric convexity monotone operator ordered Banach space Thompson's metric |
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