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

The paper aims to present advanced algorithms arising out of adding the inertial technical and shrinking projection terms to ordinary parallel and cyclic hybrid inertial sub-gradient extra-gradient algorithms (for short, PCHISE). Via these algorithms, common solutions of variational inequality problems (CSVIP) and strong convergence results are obtained in Hilbert spaces. The structure of this problem is to find a solution to a system of unrelated VI fronting for set-valued mappings. To clarify the acceleration, effectiveness, and performance of our parallel and cyclic algorithms, numerical contributions have been incorporated. In this direction, our results unify and generalize some related papers in the literature.

Advanced Algorithms and Common Solutions to Variational Inequalities

This paper investigates properties of convergence of distances of -cyclic contractions on the union of the subsets of an abstract set defining probabilistic metric spaces and Menger probabilistic metric spaces as well as the characterization of Cauchy sequences which converge to the best proximity points. The existence and uniqueness of fixed points and best proximity points of -cyclic contractions defined in induced complete Menger spaces are also discussed in the case when the associate complete metric space is a uniformly convex Banach space. On the other hand, the existence and the uniqueness of fixed points of the -composite mappings restricted to each of the subsets in the cyclic disposal are also investigated and some illustrative examples are given.

/pdf/some-results-on-best-proximity-points-of-cyclic-contractions-47u7d6ys05.pdf

Some Results on Best Proximity Points of Cyclic Contractions in Probabilistic Metric Spaces

In this paper, we introduce best proximal contractions in complete ordered non-Archimedean fuzzy metric space and obtain some proximal results. The obtained results unify, extend, and generalize some comparable results in the existing literature.

/pdf/optimal-coincidence-point-results-in-partially-ordered-non-3p470o13pr.pdf

Optimal coincidence point results in partially ordered non-Archimedean fuzzy metric spaces

We present the notion of orthogonal F -metric spaces and prove some fixed and periodic point theorems for orthogonal ⊥ Ω -contraction. We give a nontrivial example to prove the validity of our result. Finally, as application, we prove the existence and uniqueness of the solution of a nonlinear fractional differential equation.

https://www.mdpi.com/2073-8994/12/5/832/pdf

Manuel De la Sen

Papers

Advanced Algorithms and Common Solutions to Variational Inequalities

Some Results on Best Proximity Points of Cyclic Contractions in Probabilistic Metric Spaces

Optimal coincidence point results in partially ordered non-Archimedean fuzzy metric spaces

New Fixed Point Theorems in Orthogonal F -Metric Spaces with Application to Fractional Differential Equation

Neural control for wave power plant during voltage dips