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Several categories Operators Fixed Point Theorem and Its Applications

Author: SunXiuLai
Tutor: TaoXiangXing；YuGuoHua
School: Ningbo University
Course: Applied Mathematics
Keywords: Fixed Point Awl Increasing Operators Mixed Monotone Operators Banach spaces Ordered Contractive Mapping
CLC: O177.91
Type: Master's thesis
Year: 2011
Downloads: 59
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Abstract


This thesis has been at home and abroad based on the results from the theory of cones Bananch space and nature departure , in-depth study of the Banach space does not have a tight , continuity and convexity conditions for several types of operators fixed point theorem , including a class of increasing Operators fixed point theorem and applications, a class of mixed monotone operators and fixed point theorem for a class of sequence compression mapping Fixed point Theorems main results of this paper include the following three aspects: ( 1 ) using the cone theory and asymmetric iterative method for a class of non-compact non- continuous increasing Operators fixed point theorem the existence, uniqueness and convergence problems of iterative sequence , and the results applied to the solution on RN Halnmerstein among the integral equation . ( 2 ) in the Banach space of a class does not have the normal cone condition compactness and continuity conditions of mixed monotone operator fixed point theorem , a further discussion of these operators in the informal cone conditions fixed point theorem, the results have been improved and promoted. ( 3 ) the use of cone Ordered Banach space theory , partial ordering methods and monotone iterative technique for a class sequence compression mapping Fixed point Theorem on the results of the existing literature promotion.

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Functional Analysis > Nonlinear Functional Analysis
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