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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. ...
On Some New Multivalued Results in the Metric Spaces of Perov’s Type
(MDPI, 2020-03-17)
The purpose of this paper is to present some new fixed point results in the generalized metric spaces of Perov’s sense under a contractive condition of Hardy–Rogers type. The data dependence of the fixed point set, the ...
On the Stability and Equilibrium Points of Multistaged SI (n) R Epidemic Models
(Hindawi Publishing, 2015)
This paper relies on the concept of next generation matrix defined ad hoc for a new proposed extended SEIR model referred to as SI(n)R-model to study its stability. The model includes n successive stages of infectious ...
Approximate Solutions by Truncated Taylor Series Expansions of Nonlinear Differential Equations and Related Shadowing Property with Applications
(Hindawi Publishing, 2014)
This paper investigates the errors of the solutions as well as the shadowing property of a class of nonlinear differential equations which possess unique solutions on a certain interval for any admissible initial condition. ...
Supervision of the Infection in an SI (SI-RC) Epidemic Model by Using a Test Loss Function to Update the Vaccination and Treatment Controls
(MDPI, 2020-10-15)
This paper studies and proposes some supervisory techniques to update the vaccination and control gains through time in a modified SI (susceptible-infectious) epidemic model involving the susceptible and subpopulations. ...