Acta mathematica scientia,Series B ›› 1998, Vol. 18 ›› Issue (4): 457-460.
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Li Fuyi1, Zhang Qingzheng2
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Abstract: This paper establishes an ordering contraction mapping principle for increasing mapping in partial ordering metric spaces, and applies it to prove the existence and uniqueness of Ased point for some noalinear operators controlled by a linear operator and φ-concave operator in a partial ordering Banach space. Therefore, this two results are unified.
Key words: Partial ordering metric spaces, ordering contraction mapping principle, φ-concave operator
Li Fuyi, Zhang Qingzheng. ORDERING CONTRACTION MAPPING PRINCIPLE AND APPLICATIONS[J].Acta mathematica scientia,Series B, 1998, 18(4): 457-460.
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