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Proof of the Brouwer Fixed-Point Theorem: A Simple-Calculus Approach

Author

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  • Irsan Azhary Saleh

    (Faculty of Economics University of Indonesia, Jakarta)

Abstract

Kendatipun ieorema titik-tetap Brouwer merupakan landasan penting untuk memahami model-model keseimbangan umum yang relatif telah dikenal luas, namun konsep dan pembuktian dari teorema yang bersangkutan ini kurang mendapat perhatian atau hampir tidak pernah dianalisa sebeiumnya di Indonesia. Tulisan ini bertujuan untuk membuktikan teorema titik tetap Brouwer dengan menggunakan pendekatan kalkulus, suatu metode pembuktian yang relatif sangat sederhana jika dibandingkan dengan metode-metode lain yang secara konvenstonal telah sering digunakan, yakni antara lain misalnya: teori homologi, bentuk-bentuk diferensial, argumen kombinatorial, serta topologi geometris.

Suggested Citation

  • Irsan Azhary Saleh, 1991. "Proof of the Brouwer Fixed-Point Theorem: A Simple-Calculus Approach," Economics and Finance in Indonesia, Faculty of Economics and Business, University of Indonesia, vol. 39, pages 217-236, September.
    • Handle: RePEc:lpe:efijnl:199110
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    Pertumbuhan; ekonomi; investasi;
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