There is, I think, something ethereal about i —the square root of minus one. I remember first hearing about it at school. It seemed an odd beast at that time—an intruder hovering on the edge of reality.

Usually familiarity dulls this sense of the bizarre, but in the case of i it was the reverse: over the years the sense of its surreal nature intensified. It seemed that it was impossible to write mathematics that described the real world in …

I and i

다중혈관 관상동맥 환자에서 y-문합을 이용하여 양쪽 내흉동맥만을 사용한 우회술의 조기 성적

[신간의 별자리x] 우리/미술, 그리고 ‘슬픔의 박물관’

Fractional Differential Equations

Theory of fuzzy integrals and its applications

We introduce a very general class of generalized non-expansive maps This new class of maps properly includes the class of Suzuki non-expansive maps, Reich–Suzuki type non-expansive maps, and generalized α -non-expansive maps We establish some basic properties and demiclosed principle for this class of maps After this, we establish existence and convergence results for this class of maps in the context of uniformly convex Banach spaces and compare several well known iterative algorithms

On Generalized Nonexpansive Maps in Banach Spaces

Decentralized stabilization of complex systems with delayed feedback

In this paper, we introduce the notion of a modular $ p $-metric space (an extended modular $ b $-metric space) and establish some fixed point results for $ \alpha $-$ \widehat{\nu} $-Meir-Keeler contractions in this new space. Using these results, we deduce some new fixed point theorems in extended modular metric spaces endowed with a graph and in partially ordered extended modular metric spaces. Also, we develop an important relation between fuzzy-Meir-Keeler and extended fuzzy $ p $-metric with modular $ p $-metric and get certain new fixed point results in triangular fuzzy $ p $-metric spaces. We provide an example and an application to support our results which generalize several well known results in the literature.

https://www.aimspress.com/data/article/export-pdf?id=5fc4c7a6ba35de67cb921c27

The Meir-Keeler type contractions in extended modular $ b $-metric spaces with an application

This paper examines decentralized observer-based stabilization for symmetric interconnected systems. The structure of these systems is composed of identical subsystems with symmetric interconnections. Linear time-invariant dynamic systems are considered within the continuous-time case. The observer inputs operate with a delayed system output. Single as well as multiple time-varying interval bounded delays in the loop are considered. The state space matrices of these systems are decomposable into block diagonal matrices. Their properties and a robust stabilization approach are used to construct the design model which is subsequently used for the gain matrices selection by using Linear Matrix Inequalities. The main result shows that when these gain matrices are implemented into the overall system as local controller-observers, then the entire closed-loop system guarantees asymptotic stability. An application example illustrates the effectiveness of this method.

Decentralized stabilization of symmetric systems with delayed observer-based feedback

This work was partially supported by the Spanish Ministry of Economy and Competitiveness through Grant no. DPI2012-30651, the Scholarship support BES-2010-035160 for Raul Nistal, the Basque Government, through Grant no. IE378-10, and by the University of the Basque Country through Grant nos. UFI 11/07, PES13/21, and GIU14/07. Raul Nistal is grateful to the doctorate program "Molecular biology and Biomedicine" of UPV/EHU for its support for him as a Ph.D.

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Manuel De la Sen

Papers

On Generalized Nonexpansive Maps in Banach Spaces

Decentralized stabilization of complex systems with delayed feedback

The Meir-Keeler type contractions in extended modular $ b $-metric spaces with an application

Decentralized stabilization of symmetric systems with delayed observer-based feedback

On the Stability and Equilibrium Points of Multistaged SI (n) R Epidemic Models