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

In this paper we consider ( s − q ) -graphic contraction mapping in b-metric like spaces. By using our new approach for the proof that a Picard sequence is Cauchy in the context of b-metric-like space, our results generalize, improve and complement several approaches in the existing literature. Moreover, some examples are presented here to illustrate the usability of the obtained theoretical results.

Some Results on (s − q)-Graphic Contraction Mappings in b-Metric-Like Spaces

The paper describes the use of adaptive and non-periodic sampling in different fields of System Theory and Control. The review is organized in a very comprehensive way and it presents results of the last thirty years about the problem of signal applications using as main tool adaptive sampling schemes including results is the improvement of the transient behaviors. Also, related results are presented about the use of non-periodic sampling in compensation as an alternative design to the wellknown frequency domain methods and about the choice of the sampling points in order to improve the transmission of measuring and/or rounding errors towards the results when studying the properties of dynamic systems such as controllability, observability and identifiability.

Non-periodic and adaptive sampling. A tutorial review

The concept of symmetry is inherent in the study of metric spaces due to the presence of the symmetric property of the metric. Significant results, such as with the Borsuk–Ulam theorem, make use of fixed-point arguments in their proofs to deal with certain symmetry principles. As such, the study of fixed-point results in metric spaces is highly correlated with the symmetry concept. In the current paper, we first define a new and modified Ciric-Reich–Rus-type contraction in a b-metric space by incorporating the constant s in its definition and establish the corresponding fixed-point result. Next, we adopt an interpolative approach to establish some more fixed-point theorems. Existence of fixed points for ω -interpolative Ciric-Reich–Rus-type contractions are investigated in this context. We also illustrate the validity of our results with some examples.

/pdf/fixed-points-of-interpolative-ciric-reich-rus-type-5dtu7dibmr.pdf

Fixed-Points of Interpolative Ćirić-Reich─Rus-Type Contractions in b-Metric Spaces

First, we investigate the existence and uniqueness of solution for a k-dimensional system of multi-term fractional integro-differential equations. Also, we apply shifted Chebyshev and shifted Legendre polynomials to obtain an approximation solution for the k-dimensional system. Finally, we provide some examples illustrating the presented methods.

/pdf/the-existence-and-numerical-solution-for-a-k-dimensional-2bqgczvgjs.pdf

The existence and numerical solution for a k-dimensional system of multi-term fractional integro-differential equations

This article discusses three weak φ-contractive conditions of rational type for a class of 2-cyclic self-mappings defined on the union of two non-empty subsets of a metric space to itself. If the space is uniformly convex and the subsets are non-empty, closed, and convex, then the iterates of points obtained through the self-mapping converge to unique best proximity points in each of the subsets.

/pdf/fixed-point-type-results-for-a-class-of-extended-cyclic-self-44xzziod9e.pdf

Manuel De la Sen

Papers

Some Results on (s − q)-Graphic Contraction Mappings in b-Metric-Like Spaces

Non-periodic and adaptive sampling. A tutorial review

Fixed-Points of Interpolative Ćirić-Reich─Rus-Type Contractions in b-Metric Spaces

The existence and numerical solution for a k-dimensional system of multi-term fractional integro-differential equations

Fixed point-type results for a class of extended cyclic self-mappings under three general weak contractive conditions of rational type