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Article

Angelov, Vasil G.
A continuous dependence of fixed points of $\phi$-contractive mappings in uniform spaces. (English). Archivum Mathematicum, vol. 28 (1992), issue 2, pp. 155-162
MSC: 54E15, 54H25 | MR 1222282 | Zbl 0798.54051
Keywords:
complete Hausdorff uniform space; fixed point; contractive mappings
Summary:
The main purpose of the present paper is to established conditions for a continuous dependence of fixed points of $\phi $-contractive mappings in uniform spaces. An application to nonlinear functional differential equations of neutral type have been made.
References:
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[2] Nadler, S.B. Jr.: Sequence of contractions and fixed points. Pasific J.Math. 27No 3 (1968), 579-585. MR 0240802
[3] Fraser, R.B. Jr., Nadler, S.B. Jr.: Sequence of contractive mapps and fixed points. Pasific J. Math. 31 No 3 (1969), 659-667. MR 0256377
[4] Angelov, V.G.: A converse to a contraction mapping theorem in uniform spaces. J. Nonlinear Analysis, TMA, 8 No 10 (1988), 989-996. MR 0962764 | Zbl 0695.54030
[5] Weil, A.: Sur les espaces a structure uniforme et sur la topologie generale. Hermann & C-ie Editeurs, Paris, 1937.
[6] Kelley, J.: General Topology. D. Van Nostrand Company, New York, 1959. MR 0070144
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