Geodesic
Fixed points of some set-valued F-contractions
Liu, Zeqing1 ; Na, Xue1 ; Kwun, Young Chel2 ; Kang, Shin Min3
1 Department of Mathematics, Liaoning Normal University, Dalian, Liaoning 116029, P. R. China
2 Department of Mathematics, Dong-A University, Busan 49315, Korea
3 Department of Mathematics and the RINS, Gyeongsang National University, Jinju 52828, Korea;Center for General Education, China Medical University, Taiwan, Taichung 40402, Taiwan
Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 11, p. 5790-5805.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.009.11.08
Classification : 54H25
Keywords: Set-valued F-contraction, fixed point, complete metric space.

Liu, Zeqing 1 ; Na, Xue 1 ; Kwun, Young Chel 2 ; Kang, Shin Min 3

1 Department of Mathematics, Liaoning Normal University, Dalian, Liaoning 116029, P. R. China
2 Department of Mathematics, Dong-A University, Busan 49315, Korea
3 Department of Mathematics and the RINS, Gyeongsang National University, Jinju 52828, Korea;Center for General Education, China Medical University, Taiwan, Taichung 40402, Taiwan 
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Liu, Zeqing; Na, Xue; Kwun, Young Chel; Kang, Shin Min. Fixed points of some set-valued F-contractions. Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 11, p. 5790-5805. doi : 10.22436/jnsa.009.11.08. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.11.08/

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