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Existence and uniqueness of common fixed points for two multivalued operators in ordered metric spaces. (English) Zbl 1248.54030

Summary: We discuss some new fixed point theorems for a pair of multivalued operators which satisfy weakly generalized contractive conditions. Our results are the extension and improvement of corresponding results of J. Harjani and K. Sadarangani [Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 7–8, A, 3403–3410 (2009; Zbl 1221.54058)] and X. Zhang [J. Math. Anal. Appl. 333, No. 2, 780–786 (2007; Zbl 1133.54028)]. Finally, some examples are given to illustrate the usability of our results.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
54C60 Set-valued maps in general topology
54F05 Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces
54E40 Special maps on metric spaces
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