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Common Fixed Points For Nappings With Contractive Condition And Quasi-Contractive Conditon

Posted on:2013-08-16Degree:MasterType:Thesis
Country:ChinaCandidate:M L JiangFull Text:PDF
GTID:2230330374991926Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
In this paper, we first introduce a new space, namely W-Space, and use the conditions of the converse commutativity and commuting points to present several theorems of common fixed points; Secondly we use the metric on a complete metric spaces to induce Hausdorff metric, and consider the set-valued mappings with nonempty value satisfying the condition with some variable coefficients or(?)-contractive condition. Furthermore, we give the theorems of common fixed points for a pare of mappings and the sufficient condition with uniqueness; Finally we discuss some existent problems of unique common fixed point for a infinite number of family of mappings satisfying some kind of the quasi-contractive condition on TVS-valued cone metric spaces, and we obtain several important results. The obtained results in this paper generalize and improve the corresponding conclusions in literatures and other papers...
Keywords/Search Tags:W-Space, TVS-valued cone metric Spaces, common fixed points, contrac-tive, quasi contractive
PDF Full Text Request
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