Showing papers in "Journal of Mathematical Analysis and Applications in 1967"

TL;DR: This paper explores the foundations of, generalizes, and continues the work of Zadeh in [I] and [2].

TL;DR: In this paper, the existence of fixed points of non-compact mappings of a subset C of a Hilbert space H of a function space into H has been studied under a number of topological arguments.

TL;DR: In this article, the Kuhn-Tucker criterion was extended to the case of equalities and inequalities, and a new generalization of the Fritz-John criterion was proposed.

TL;DR: In this article, necessary and sufficient conditions for the solution of a constrained minimization problem will vary continuously when the constraints and objective function are varied, and special results for the case that the constraints are linear inequalities.

TL;DR: Constrained minimization problem extended to necessary conditions for characterizing non-inferior points to determine vector-valued criteria in finite dimensional spaces as discussed by the authors, where the objective is to find the smallest point in the space.

TL;DR: In this paper, a generalization of Wigner's semi-circle law concerning the distribution of the eigenvalues of large symmetric matrices is proposed, where the entries of a sub ij are for i > or = j independent and identically distributed random variables.

TL;DR: In this paper, a decomposable K-dimensional Galton-Watson process is considered and a temporally homogeneous, K-vector-valued Markov chain with the following properties is considered: for each i, 1 < i < K, let e, = (Stsl,..., &).

TL;DR: In this paper, the authors present an extension of the preceding relation and show how the extension may be used in two other situations, namely bounded linear operators on a Banach space, and certain nonlinear transformations on a real or complex Hilbert space.

TL;DR: In this paper, the covariance matrix of the optimal filtering error is the solution of a matrix Riccati equation, and it is shown that the correlated noise filter is optimal.

TL;DR: Shinbrot as discussed by the authors showed that the nonlinear eigenvalue problem has a sequence of eigenvalues converging to zero and a corresponding basis of eigvectors, with some conditions on L and M.

TL;DR: A subset of the real plane R x R is said to be totally ordered if, for each (x, x*) and each (a, z*) E r, either one has x f and x* > R * as discussed by the authors.