Title of article :
Fixed points of some set-valued F-contractions
Author/Authors :
Liu ، Zeqing - Liaoning Normal University , Na ، Xue - Liaoning Normal University , Kwun ، Young Chel - Dong-A University , Kang ، Shin Min - Gyeongsang National University
Abstract :
Fixed point theorems of several setvalued Fcontractions 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), 475488] and Mizoguchi and Takahashi [N. Mizoguchi, W. Takahashi, J. Math. Anal. Appl., 141 (1989), 177188]. Five nontrivial examples are given.
Keywords :
Set , valued F , contraction , fixed point , complete metric space
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications
