Fixed points of some set-valued F-contractions


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

  • Share on Facebook
  • Share on Twitter
  • Share on LinkedIn
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


MSC


References