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In this paper, first the concept of regularity radius r∗(A(p)) of the interval parametric matrix A(p) is introduced.
We introduce and study the concept of B-regularity which is in connection to the concept of regularity introduced by Iserles.
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Now we recall the concepts of regularity of a summability matrix and A-statistical convergence.
It is worth mentioning that the concept of translational regularity of global attractor, in other words, the global attractor being regular after a translation transformation, was introduced in our previous work [23].
This concept of matrix regularity also provides for more accessible proofs of the Christensen Sinclair Multilinear Representation and Multilinear Decomposition theorems.
Browder and Petryshyn [12] introduced the concept of asymptotic regularity in Hilbert spaces.
Browder and Petryshyn introduced the concept of asymptotic regularity of a self-map at a point in a metric space.
Then we recall the main concept of p-regularity theory and some important lemmas which will be used later.
In this paper, a semi-local convergence analysis of the Gauss-Newton method for convex composite optimization is presented using the concept of quasi-regularity in order to approximate fixed points in optimization.
But this does not lead Hume to hold that since we can't infallibly perceive that some succession is an instance of a regularity, we cannot form the concept of causality in terms of regularity.
He classified architecture as dependent beauty, saying that in a thing that is possible only by means of design (Absicht)—a building or even an animal the regularity consisting in symmetry must express the unity of the intuition that accompanies the concept of purpose (Zweck), and this regularity belongs to cognition.
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