Sentence examples for mappings on the from inspiring English sources

Finally, some classes of matrix mappings on the space λ B ( r ˜, s ˜ ) are characterized.

Dedekind also tends to do both, often in conjunction, by considering mappings on the systems studied, especially structure-preserving mappings (homomorphisms etc)., and what is invariant under them.

We present a formalization of this language in the Rewriting Logic framework, employing equations for defining abstraction mappings on the state space of the system.

The effect of mappings on the approximation, by Chebyshev collocation, of functions which exhibit localized regions of rapid variation is studied.

It is shown that stationary random fields on an arbitrary locally compact group are exactly Fourier transforms of orthogonally scattered mappings on the C*-algebra of the group.

In recent years, several authors have obtained coupled fixed point results for various classes of mappings on the setting of many generalized metric spaces.

For any given closed interval, let the symbol denote a Banach space consisting of all continuous mappings, on which the norm is defined by.

This problem becomes more challenging and seems to be of vital interest in view of historically significant and negatively settled problem that a pair of commuting continuous self-mappings on the unit interval [0,1] need not have a common fixed point [27].

Remark 13 By equating A, B, C, D, and E to 0 in all possible combinations, one can derive a host of corollaries which include the Banach fixed point theorem for self-mappings on the closed ball in complex valued metric spaces.

This article discusses a more general contractive condition for a class of extended (p ≥ 2) -cyclic self-mappings on the union of a finite number of subsets of a metric space which are allowed to have a finite number of successive images in the same subsets of its domain.

In 1976, Jungck [4] generalized the Banach contraction principle by introducing the idea of commuting maps and settled the historical open problem that a pair of commuting and continuous self-mappings on the unit interval [ 0, 1 ] need not have a common fixed point [5, 6].