- 期刊
SOME FIXED POINT THEOREMS FOR SET VALUED DIRECTIONAL CONTRACTION MAPPINGS
並列摘要
Let S be a subset of a metric space X and let B(X) be the class of all nonempty bounded subsets of X with the Hausdorff pseudometric H. A mapping F:S→B(X) is a directional contraction iff there exists a real αε[0,1) such that for each xεS and yεF(x), H(F(x),F(z))≤αd(x,z) for each zε[x,y]∩S, where [x,y]={zεX:d(x,z)+d(z,y)=d(x,y)}. In this paper, sufficient conditions are given under which such mappings have a fixed point.
延伸閱讀
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