| N.A.Menger PM-空间中非单调压缩算子方程组解的连续性及其应用 |
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| 引用本文： | 陈汝栋,王长庆. N.A.Menger PM-空间中非单调压缩算子方程组解的连续性及其应用[J]. 辽宁师范大学学报(自然科学版), 1992, 0(2) |
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| 作者姓名： | 陈汝栋 王长庆 |
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| 作者单位： | 安阳师范专科学校，辽宁师范大学数学系 |
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| 摘 要： | 在引入非单调压缩函数的前提下,在非阿基米德概率度量空间中,讨论了一类非单调压缩算子方程组解的存在性、唯一性及关于参数的连续性.作为应用,讨论了一类乘积空间中映像对的不动点的存在性.
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| 关 键 词： | N.A.Menger PM-空间 不动点 非单调压缩算子 |
CONTINUITY OF THE SOLUTION OF NONMONOTONIC CONTRACTION OPERATOR EQUATIONS IN N. A. MENGER PM-SPACE AND ITS APPLICATIONS |
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| Chen Rudong. CONTINUITY OF THE SOLUTION OF NONMONOTONIC CONTRACTION OPERATOR EQUATIONS IN N. A. MENGER PM-SPACE AND ITS APPLICATIONS[J]. Journal of Liaoning Normal University(Natural Science Edition), 1992, 0(2) |
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| Authors: | Chen Rudong |
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| Abstract: | discussed the existence,uniqueness and the continuity (about the parameters) of the solutions of the non-monotonic contraction operator equations in N. A. Menger PM-space by introducing non-monotonic contraction functions. As an application, the common fixed point theorem of a kind of mapping pair in product space is obtained. |
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| Keywords: | N. A. Menger PM-space fixed point non-monotonic contraction function |
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