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Keywords:
complete Hausdorff uniform space; fixed point; contractive mappings
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:
[1] Angelov, V.G.: Fixed point theorems in uniform spaces and applications. Czechoslovac Math. J. 37 (1987), 19-33. MR 0875124
[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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