Bulletin of the
Korean Mathematical Society BKMS

In the present paper, considering the Jleli and Samet's technique we give many fixed point results for multivalued mappings on complete metric spaces without using the Pompeiu-Hausdorff metric. Our results are real generalization of some related fixed point theorems including the famous Feng and Liu's result in the literature. We also give some examples to both illustrate and show that our results are proper generalizations of the mentioned theorems.

Keywords: fixed point, multivalued mappings, $\theta $-contraction, complete metric space

MSC numbers: Primary 47H10; Secondary 54H25