منابع مشابه
A contraction principle in generalized metric spaces
One of the generalizations of the Banach Fixed Point Theorem is due to Matkowski, who replaced contractivity by a weaker but still effective property. The aim of this note is to extend the contraction principle in this spirit for such semimetric spaces that are equipped with a natural generalization of the standard triangle inequality. The stability of fixed points is also investigated in this ...
متن کاملA characterization of completeness of generalized metric spaces using generalized Banach contraction principle
In this paper, introducing a contraction principle on generalized metric spaces, a generalization of Banach’s fixed point theorem is obtained under the completeness condition of the space. Moreover, it is established that using such contraction principle completeness of the generalized metric space can be characterized.
متن کاملA Generalized Equivalence Principle
Gauge field theories may quite generally be defined as describing the coupling of a matter-field to an interaction-field, and they are suitably represented in the mathematical framework of fiber bundles. Their underlying principle is the socalled gauge principle, which is based on the idea of deriving the coupling structure of the fields by satisfying a postulate of local gauge covariance. The ...
متن کاملGeneralized Block Control Principle
This article proposes a generalized block control principle. The algorithm, developed in the framework of sliding mode control, offers insensitivity to parameter variations and external disturbances and simplification of the control design. In contrast to the known Block Control Principle, decomposing of the system into blocks where the dimension of state and control input coincide is not requi...
متن کاملOn Generalized Uncertainty Principle
We study generalized uncertainty principle through the basic concepts of limit and Fourier transformation to analyze the quantum theory of gravity or string theory from the perspective of a complex function. Motivated from the noncommutative nature of string theory, we have proposed a UV/IR mixing dependent function δ̃(∆x,∆k, ǫ). We arrived at the string uncertainty principle from the analyticit...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1974
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700041046