In 2003, Kirk et al. introduced in [2] an interesting concept of cyclic contractions in metric spaces, and obtained the corresponding generalizations of Banach's, as well as some other fixed point results.
In [[16], pp.939-940], Srivastava, Kurt and Simsek gave the following remarks about the Apostol-type polynomials: '… It should be reiterated in passing that the investigations of the corresponding generalizations of the Apostol-Euler polynomials, which are associated with any admissible (real or complex) order f, are not at all affected by the observations made here.
The -SC problem is essentially a generalization of the set cover problem thus, we will extend the -net technique to solve the corresponding generalization of the hitting set problem.
In both cases, we restricted the expression matrices to the 11 probesets and then applied regularized least squares in a leave-one-out cross validation loop, estimating the corresponding generalization error (see Table 3).
The immanantal polynomial for a character χ of a matrix is the corresponding generalization of the characteristic polynomial; that is, it is the polynomial x ↦ I χ (x I - A ).
Since these approaches were direct adoptions of Alamouti's scheme and its corresponding generalization, they principally require perfect orthogonality among the relay signals.
Using functional principal component analysis, a method for testing equality of K largest eigenvalues and the corresponding eigenfunctions, together with its generalization to a corresponding change point problem is suggested.
To the authors' knowledge, Crauel and Flandoli [1] and Flandoli and Schmalfuß [2] first introduced a corresponding generalization of the attractor (random attractor) to the stochastic partial differential equations.
The generalization is based on thorough accounting for the analogies and differences between shrinkage and swelling and the corresponding use, modification, or replacement of the soil shrinkage features.
