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Effects of Constant Magnetic Field to the Proliferation Rate of Human Fibroblasts Grown onto Different Substrates: Tissue Culture Polystyrene, Polyacrylamide Hydrogel and Ferrogels γ-Fe2O3 Magnetic Nanoparticles
(MDPI, 2020-08-20)
The static magnetic field was shown to affect the proliferation, adhesion and differentiation of various types of cells, making it a helpful tool for regenerative medicine, though the mechanism of its impact on cells is ...
Generation of Julia and Mandelbrot Sets via Fixed Points
(MDPI, 2020-01)
The aim of this paper is to present an application of a fixed point iterative process in generation of fractals namely Julia and Mandelbrot sets for the complex polynomials of the form T(x)=xn+mx+r where m,r is an element ...
Fixed Point Results under Generalized c-Distance in Cone b-Metric Spaces Over Banach Algebras
(MDPI, 2020-03-21)
In this work, we define the concept of a generalized c-distance in cone b-metric spaces over a Banach algebra and introduce some its properties. Then, we prove the existence and uniqueness of fixed points for mappings ...
On a Controlled Se(Is)(Ih)(Iicu)AR Epidemic Model with Output Controllability Issues to Satisfy Hospital Constraints on Hospitalized Patients
(MDPI, 2020-11-03)
An epidemic model, the so-called SE(Is)(Ih)(Iicu)AR epidemic model, is proposed which splits the infectious subpopulation of the classical SEIR (Susceptible-Exposed-Infectious-Recovered) model into four subpopulations, ...
Patterned Piezoelectric Scaffolds for Osteogenic Differentiation
(MDPI, 2020-11-05)
The morphological clues of scaffolds can determine cell behavior and, therefore, the patterning of electroactive polymers can be a suitable strategy for bone tissue engineering. In this way, this work reports on the influence ...
Stability of Unbounded Differential Equations in Menger k-Normed Spaces: A Fixed Point Technique
(MDPI, 2020-03-11)
We attempt to solve differential equations υ′(ν)=Γ(ν,υ(ν)) and use the fixed point technique to prove its Hyers–Ulam–Rassias stability in Menger k-normed spaces.
Approximation of Fixed Points of C*-Algebra-Multi-Valued Contractive Mappings by the Mann and Ishikawa Processes in Convex C*-Algebra-Valued Metric Spaces
(MDPI, 2020-03-10)
The aim of the present paper is to state and prove some convergence theorems for the Mann and Ishikawa iteration schemes involving C∗ -algebra-multi-valued contractive mappings in the setting of convex C∗ -algebra-valued ...
On Best Approximations for Set-Valued Mappings in G-convex Spaces
(MDPI, 2020-03-04)
In this paper we obtain a best approximations theorem for multi-valued mappings in G -convex spaces. As applications, we derive results on the best approximations in hyperconvex and normed spaces. The obtain results ...
Hybrid Ćirić Type Graphic Υ,Λ-Contraction Mappings with Applications to Electric Circuit and Fractional Differential Equations
(MDPI, 2020-03-16)
In this paper, we initiate the notion of Ćirić type rational graphic (Υ,Λ) -contraction pair mappings and provide some new related common fixed point results on partial b-metric spaces endowed with a directed graph G. We ...
Proximally Compatible Mappings and Common Best Proximity Points
(MDPI, 2020-03-01)
The purpose of this paper is to introduce and analyze a new idea of proximally compatible mappings and we extend some results of Jungck via proximally compatible mappings. Furthermore, we obtain common best proximity point ...