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A new approach to fixed point theorems for multivalued contractive maps. (English) Zbl 1349.54111
Summary: In the present paper, considering the Wardowski’s technique we give many fixed point results for multivalued maps on complete metric space without using the 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.

54H25 Fixed-point and coincidence theorems (topological aspects)
47H10 Fixed-point theorems