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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 Common Jungck Type Fixed Point Result in Extended Rectangular b-Metric Spaces
(MDPI, 2019-12-27)
In this paper, we present a Jungck type common fixed point result in extended rectangular b-metric spaces. We also give some examples and a known common fixed point theorem in extended b-metric spaces.
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 ...
Contractive Inequalities for Some Asymptotically Regular Set-Valued Mappings and Their Fixed Points
(MDPI, 2020-03-04)
The symmetry concept is a congenital characteristic of the metric function. In this paper, our primary aim is to study the fixed points of a broad category of set-valued maps which may include discontinuous maps as well. ...