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Some fixed point results for multivalued operators in generalized metric spaces. (English) Zbl 1221.54071
Summary: Recently, A. Bucur, L. Guran and A. Petrusel [Fixed Point Theory 10, No. 1, 19–34 (2009; Zbl 1194.54056)] presented some results on fixed points of multivalued operators on generalized metric spaces which extended some old fixed point theorems to the multivalued case. Also, Kikkawa and Suzuki have proved some results for generalized contractions in complete metric spaces [M. Kikkawa and T. Suzuki, Nonlinear Anal., Theory Methods Appl. 69, No. 9, A, 2942–2949 (2008; Zbl 1152.54358)]. In this paper, we shall give some results on fixed points of multivalued operators on generalized metric spaces by using the method of M. Kikkawa and T. Suzuki [op. cit.].

MSC:
54H25 Fixed-point and coincidence theorems (topological aspects)
47H04 Set-valued operators
47H10 Fixed-point theorems
65J15 Numerical solutions to equations with nonlinear operators (do not use 65Hxx)
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