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Multivalued $$f$$-weakly Picard mappings. (English) Zbl 1128.54024
By introducing the concept of multi-valued $$f$$-weak contraction and generalized multi-valued $$f$$-weak contraction, the author obtains two coincidence fixed point theorems which include, in particular, two common fixed point theorems. If $$f=I$$, the identity map, one obtains the results co-authored by the reviewer: M. Berinde and V. Berinde [J. Math. Anal. Appl. 326, 772–782 (2007; Zbl 1117.47039)].

##### MSC:
 54H25 Fixed-point and coincidence theorems (topological aspects) 47H10 Fixed-point theorems
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##### References:
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