Fixed points of mixed non-monotone tripled operators in ordered Banach spaces and applications

Volume 9, Issue 8, pp 5306--5315 http://dx.doi.org/10.22436/jnsa.009.08.16

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Authors

Xiaoyan Zhang - School of Mathematics, Shandong University, Jinan 250100, Shandong, China.

Abstract

This paper is concerned with a class of mixed non-monotone tripled operators under the general conditions of ordering relations in ordered Banach spaces. By means of the cone theory and technique of equivalent norms, the existence and uniqueness of fixed points for such tripled operators are established. The proof method in this paper is different from those used in the former relevant theorems. At last, an application is presented to illustrate our result. We extend some previous existing results.

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Keywords

• Non-monotone tripled operator
• cone theory
• equivalent norms
• fixed points
• Banach spaces.

MSC

•  47H10
•  47H07
•  34G20

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