Common fixed point theorems for weakly compatible quasi contraction mappings (Q879203)

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scientific article; zbMATH DE number 5150239
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Common fixed point theorems for weakly compatible quasi contraction mappings
scientific article; zbMATH DE number 5150239

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    Common fixed point theorems for weakly compatible quasi contraction mappings (English)
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    8 May 2007
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    The authors modify the definition of T-weak compatibility of a multi-valued map and a single-valued map due to \textit{H. K. Pathak} [Acta Math. Hung. 67, No. 1-2, 69--78 (1995; Zbl 0821.54027)]. Then a common fixed point theorem is proved under this new definition and a generalized contractive condition involving five control functions, further some examples are also given.
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    quasi-contraction mapping
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    weakly compatible mappings
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    stationary point
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