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Compactness of the Set of Trajectories of the Control System Described by a Urysohn Type Integral Equation

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Gui-Qin Yang    

In this paper, the notions of countable S*-compactness is introduced in L-topological spaces based on the notion of S*-compactness. An S*-compact L-set is countably S*-compact. If L = [0, 1], then countable strong compactness implies countable S*-compact... see more

Revista: Proyecciones

Fu-Gui Shi    

A new form of ß-compactness is introduced in L-topological spaces by means of ß-open L-sets and their inequality where L is a complete de Morgan algebra. This new form doesn’t rely on the structure of basis lattice L. It can also be characterized by mean... see more

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Shu-Ping Li    

In this paper, a new notion of sequential compactness is introduced in L-topological spaces, which is called sequentially S*-compactness. If L = [0, 1], sequential ultra-compactness, sequential N-compactness and sequential strong compactness imply sequen... see more

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This paper is a case study in proof mining applied to non-effective proofsin nonlinear functional analysis. More specifically, we are concerned with thefixed point theory of nonexpansive selfmappings f of convex sets C in normed spaces. We study the Kras... see more


Ahmad Al-Omari,Takashi Noiri    

Let (X, m, H) be a hereditary m-space. A subset A of X is said to be HC -compact relative to X if for every cover U of A by m-open sets of X, there exists a finite subset U0 of U such that A - ? {mCl(Ua) : a ? U0} ? H. We obtain several properties of the... see more