Fixed points of some set-valued F-contractions
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Authors
Zeqing Liu
- Department of Mathematics, Liaoning Normal University, Dalian, Liaoning 116029, P. R. China.
Xue Na
- Department of Mathematics, Liaoning Normal University, Dalian, Liaoning 116029, P. R. China.
Young Chel Kwun
- Department of Mathematics, Dong-A University, Busan 49315, Korea.
Shin Min Kang
- Department of Mathematics and the RINS, Gyeongsang National University, Jinju 52828, Korea.
- Center for General Education, China Medical University, Taiwan, Taichung 40402, Taiwan.
Abstract
Fixed point theorems of several set-valued F-contractions without using the Hausdorff metric are provided. Our results extend substantially the results due to Nadler [S. B. Nadler, Jr., Pacific J. Math., 30
(1969), 475-488] and Mizoguchi and Takahashi [N. Mizoguchi, W. Takahashi, J. Math. Anal. Appl., 141
(1989), 177-188]. Five nontrivial examples are given.
Share and Cite
ISRP Style
Zeqing Liu, Xue Na, Young Chel Kwun, Shin Min Kang, Fixed points of some set-valued F-contractions, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 11, 5790--5805
AMA Style
Liu Zeqing, Na Xue, Kwun Young Chel, Kang Shin Min, Fixed points of some set-valued F-contractions. J. Nonlinear Sci. Appl. (2016); 9(11):5790--5805
Chicago/Turabian Style
Liu, Zeqing, Na, Xue, Kwun, Young Chel, Kang, Shin Min. "Fixed points of some set-valued F-contractions." Journal of Nonlinear Sciences and Applications, 9, no. 11 (2016): 5790--5805
Keywords
- Set-valued F-contraction
- fixed point
- complete metric space.
MSC
References
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