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Advanced Algorithms and Common Solutions to Variational Inequalities
(MDPI, 2020-07-20)
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, ...
A General Inertial Projection-Type Algorithm for Solving Equilibrium Problem in Hilbert Spaces with Applications in Fixed-Point Problems
(MDPI, 2020-08-31)
A plethora of applications from mathematical programming, such as minimax, and mathematical programming, penalization, fixed point to mention a few can be framed as equilibrium problems. Most of the techniques for solving ...
Some New Results on a Three-Step Iteration Process
(MDPI, 2020-09-17)
The purpose of this research work is to prove some weak and strong convergence results for maps satisfying (E)-condition through three-step Thakur (J. Inequal. Appl.2014, 2014:328.) iterative process in Banach spaces. We ...
On Generalized Nonexpansive Maps in Banach Spaces
(MDPI, 2020-07-03)
We introduce a very general class of generalized non-expansive maps. This new class of maps properly includes the class of Suzuki non-expansive maps, Reich–Suzuki type non-expansive maps, and generalized α
-non-expansive ...
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 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, ...
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 ...