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Common fixed point theorems for multivalued mappings. (English) Zbl 0840.47041

Summary: We answer a Reich’s problem about fixed point in some respect. Our results improve N. Mizoguchi and W. Takahashi’s result [J. Math. Anal. Appl. 141, No. 1, 177-188 (1989; Zbl 0688.54028)]. They also generalize the results of H. Kaneko [Math. Jap. 33, No. 1, 57-64 (1988; Zbl 0647.54038)] and others.

MSC:

47H10 Fixed-point theorems
47H04 Set-valued operators
54H25 Fixed-point and coincidence theorems (topological aspects)
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