Unique common fixed points for generalized mixed type contractive mappings on non-normal cone metric spaces

Yongjie PIAO

Abstract


Twoclassesofgeneralizedmixedtypecontractiveconditionsareintroduced, unique common fixed point theorems for Kannan-mixed type and Chatterjea-mixed type contractive mappings are obtained on non-normal cone metric spaces respectively and the corresponding fixed point theorems and common fixed point theorems are given. The obtained results generalize and improve some common fixed point theorems, especially, Kannan type fixed point theorem and Chatterjea type fixed point theorem.


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Published: 2016-10-28

How to Cite this Article:

Yongjie PIAO, Unique common fixed points for generalized mixed type contractive mappings on non-normal cone metric spaces, Advances in Inequalities and Applications, Vol 2016 (2016), Article ID 21

Copyright © 2016 Yongjie PIAO. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Advances in Inequalities and Applications

ISSN 2050-7461

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