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References in periodicals archive ?
Park, Ninety years of the Brouwer fixed point theorem, Vietnam J.
Our remark originates from (10), which indeed allows to replace the use of the nonconstructive topological Brouwer fixed point theorem by an elementary, analytical and constructive fixed point argument.
Thus [A.sup.-1]G(B(o, R)) [subset] B(o, R) and since B(o, R) is a closed, nonempty, convex and bounded subset of [R.sup.N] we have from the Brouwer fixed point theorem that there exists a fixed point x [member of] [R.sup.N] of (4.1).