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Research Paper | Mathematics | India | Volume 4 Issue 11, November 2015

Brouwers Fixed Point Theorem

Yogesh Chandra C

Abstract: The theorem is important illustration of progress of branch algebraic topology and base for functional analysis and fixed point theorem. Provides generalization and proof to fixed point theorem, game theory, central limit theorem and gave way to new branch of mathematics Fixed point theory used extensively. Lack of interest in analysis situ, unnoticed theory, use of false intuitionism against set theory created problems, the method used is continuous mapping, Euclidean spaces, algebraic topology, the results of this theory are unconstructive and let to constructivity idea. Thus theory provided significant proof, generalization to many important theorem.

Keywords: Homology, Euclidean space, Banach space, one dimensional scale, topology, contraction, vector fields

Edition: Volume 4 Issue 11, November 2015,

Pages: 1 - 3