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Fixed points for condensing multifunctions in metric spaces with convex structure. (English) Zbl 0423.54039


MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
54C60 Set-valued maps in general topology
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References:

[1] J. DYDAK, On Convex Metric Spaces, Bull. Acad. Polonaise Sci., See sci., math., astr., phys., 20 (1972), 667-672. · Zbl 0242.54031
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[3] C. J. HIMMELBERG, Some Theorems on Equiconnected and Locally Equicon nected Spaces, Trans. Amer. Math. Soc, 115 (1965), 43-53. · Zbl 0134.18703 · doi:10.2307/1994254
[4] C. J. HIMMELBERG, J. R. PORTER AND F. S. VAN VLECK, Fixed Point Theorems fo Condensing Multfunctions, Proc. Amer. Math. Soc, 23 (1969), 635-641. · Zbl 0195.14902 · doi:10.2307/2036602
[5] G. S. JONES, A Functional Approach to Fixed-Point Analysis of Noncompac Operators, Math. Systems Theory, 6 (1972), 375-382. · Zbl 0265.54047 · doi:10.1007/BF01843494
[6] H. V. MACHADO, A Characterization of Convex Subsets of Normed Spaces, Kodai Math. Sem. Rep., 25 (1973), 307-320 · Zbl 0271.54021 · doi:10.2996/kmj/1138846819
[7] B. N. SADOVSK, Limit-Compact and Condensing Operators, Russian Math Surveys, 27 (1972), 85-155. · Zbl 0243.47033 · doi:10.1070/rm1972v027n01ABEH001364
[8] W. TAKAHASHI, A Convexity in Metric Space and Nonexpansive Mappings, I, Kodai Math. Sem Rep., 22 (1970), 142-149 · Zbl 0268.54048 · doi:10.2996/kmj/1138846111
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