臺灣博碩士論文加值系統

在本文中，我們尋找系統平衡點問題以及嚴格偽壓縮映射的固定點問題之
共同解。在希爾伯特空間中，我們透過壓縮投影，證明強收斂定理。運用
這結果，我們就可以在希爾伯特空間下，研究系統混合平衡點問題以及嚴
格偽壓縮映射固定點問題之共同解。而這問題的即是探討在混合平衡點問
題以及固定點問題限制下的數學規劃問題。

In this paper, we find a common solution for the system of equilibrium problems and fixed points of a strictly pseudo-contractive mapping. We prove the strong convergence theorem based on shrinking projection in a real Hilbert space. Then we apply our results to study a common solution of system of mixed equilibrium problems and fixed point of a strict pseudo-contractive mapping in a Hilbert space mathematical program with system of mixed equilibrium problems and fixed points constraints.

1. Introduction 1
2. Preliminaries 3
3. Main Results 7
4. Applications 25
References 31

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