Results 21 to 30 of about 1,097,522 (236)
International Journal of Mathematics and Mathematical Sciences, 1999 First, we introduce sequential convergence structures and characterize Fréchet spaces and continuous functions in Fréchet spaces using these structures.
Woo Chorl Hong
doaj +1 more source
Global existence and controllability to a stochastic integro-differential equation
Electronic Journal of Qualitative Theory of Differential Equations, 2010 In this paper, we are focused upon the global uniqueness results for a stochastic integro-differential equation in Fréchet spaces. The main results are proved by using the resolvent operators combined with a nonlinear alternative of Leray-Schauder type ...
Yong-Kui Chang, Zhi-Han Zhao, Juan Nieto
doaj +1 more source
I: Fréchet-Urysohn spaces [PDF]
Mathematica Moravica, 2016 In this paper, we introduce the concept ss-sequentially quotient mapping. Using this concept, we characterize s-Fréchet-Urysohn spaces and s-sequential spaces.
Renukadevi V., Prakash B.
doaj
ON TWO-SIDED UNIDIRECTIONAL MEAN VALUE INEQUALITY IN A FRÉCHET SMOOTH SPACE
Ural Mathematical Journal, 2023 The paper is devoted to a new unidirectional mean value inequality for the Fréchet subdifferential of a continuous function. This mean value inequality finds an intermediate point and localizes its value both from above and from below; for this reason ...
Dmitry V. Khlopin
doaj +1 more source
On Fermat-Torricelli Problem in Frechet Spaces
Journal of Nepal Mathematical Society, 2020 We study the Fermat-Torricelli problem (FTP) for Frechet space X, where X is considered as an inverse limit of projective system of Banach spaces. The FTP is defined by using fixed countable collection of continuous seminorms that defines the topology of X as gauges.
G.A. Adebayo +3 more
openaire +2 more sources
Frechet Spaces with Nuclear Kothe Quotients [PDF]
Transactions of the American Mathematical Society, 1982 Each separable Frechet non-Banach space X with a continuous norm is shown to have a quotient Y with a continuous norm and a basis. If, in addition, Y can be chosen to be nuclear, we say that X has a nuclear Kothe quotient. We obtain a (slightly technical) characterization of those separable Frechet spaces with nuclear Kothe quotients.
Bellenot, Steven F., Dubinsky, Ed
openaire +2 more sources
Statistical Bochner Integral on Frechet Space
WSEAS TRANSACTIONS ON MATHEMATICS, 2023 Probability theory including the Bochner integral is a very important part of modern mathematical concepts including the modern theory of probabilities, especially in the concept of mathematical expectation and dispersion. In this, study a statistical approach form of Bochner’s theory is given and extended, but some fundamental properties of ...
Anita Caushi, Ervenila Musta
openaire +1 more source
Existence Results for Fractional Integral Equations in Frechet Spaces
Journal of Mathematical Sciences and Modelling, 2022 The objective of this paper is to present results on the existence of solutions for a class of fractional integral equations in Fr\'{e}chet spaces of Banach space-valued functions on the unbounded interval.
Said Baghdad
doaj +1 more source
Uniform Convergence and Spectra of Operators in a Class of Fréchet Spaces
Abstract and Applied Analysis, 2014 Well-known Banach space results (e.g., due to J. Koliha and Y. Katznelson/L. Tzafriri), which relate conditions on the spectrum of a bounded operator T to the operator norm convergence of certain sequences of operators generated by T, are extended to ...
Angela A. Albanese +2 more
doaj +1 more source
Evolution equations in Fréchet spaces
Journal of Mathematical Sciences and Modelling, 2018 This paper deals with the existence of mild solutions for a class of evolution equations. The technique used is a generalization of the classical Darbo fixed point theorem for Fr\'{e}chet spaces associated with the concept of measure of noncompactness.
Mouffak Benchohra +3 more
doaj +1 more source