Some fixed point theorems for contractive mappings of integral type

Volume 10, Issue 7, pp 3566--3580 http://dx.doi.org/10.22436/jnsa.010.07.17

Publication Date: July 22, 2017 Submission Date: March 30, 2017

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Authors

Zeqing Liu - Department of Mathematics, Liaoning Normal University, Dalian, Liaoning 116029, People’s Republic of China. Yuqing Wang - Department of Mathematics, Liaoning Normal University, Dalian, Liaoning 116029, People’s Republic of China. Shin Min Kang - Department of Mathematics and the RINS, Gyeongsang National University, Jinju 52828, Korea. - Center for General Education, , China Medical University, Taichung 40402, Taiwan. Young Chel Kwun - Department of Mathematics, Dong-A University, Busan 49315, Korea.

Abstract

Four fixed point theorems for mappings satisfying contractive conditions of integral type in complete metric spaces are proved. The results presented in this paper extend and improve a few results existing in literature. Two examples involving the contractive mappings of integral type are constructed.

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Keywords

• Contractive mappings of integral type
• fixed point
• complete metric space.

MSC

•  54H25

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