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Inertial Subgradient Extragradient Methods for Solving Variational Inequality Problems and Fixed Point Problems
(MDPI, 2020-05-11)
We propose two new iterative algorithms for solving K-pseudomonotone variational inequality problems in the framework of real Hilbert spaces. These newly proposed methods are obtained by combining the viscosity approximation ...
On an SEIR Epidemic Model with Vaccination of Newborns and Periodic Impulsive Vaccination with Eventual On-Line Adapted Vaccination Strategies to the Varying Levels of the Susceptible Subpopulation
(MDPI, 2020-11-23)
This paper investigates a susceptible-exposed-infectious-recovered (SEIR) epidemic model with demography under two vaccination effort strategies. Firstly, the model is investigated under vaccination of newborns, which is ...
e-Distance in Menger PGM Spaces with an Application
(MDPI, 2020-12-30)
The main purpose of the present paper is to define the concept of an e-distance (as a generalization of r-distance) on a Menger PGM space and to introduce some of its properties. Moreover, some coupled fixed point results, ...
Optimal Perturbation Iteration Method for Solving Fractional Model of Damped Burgers’ Equation
(MDPI, 2020-06-04)
The newly constructed optimal perturbation iteration procedure with Laplace transform is applied to obtain the new approximate semi-analytical solutions of the fractional type of damped Burgers’ equation. The classical ...
Some New Fuzzy Fixed Point Results with Applications
(MDPI, 2020-06-17)
The aim of this article is to establish some fixed point results for fuzzy mappings and derive some corresponding multivalued mappings results of literature. For this purpose, we define some new and generalized contractions ...
On the Topology Induced by C*-Algebra-Valued Fuzzy Metric Spaces
(MDPI, 2020-06-03)
We define the notion of <inline-formula> <math display="inline"> <semantics> <msup> <mi>C</mi> <mo>*</mo> </msup> </semantics> </math> </inline-formula>-algebra-valued fuzzy metric spaces and we study the topology induced ...
Applying Fixed Point Techniques to Stability Problems in Intuitionistic Fuzzy Banach Spaces
(MDPI, 2020-06-15)
In this paper we investigate Hyers-Ulam-Rassias stability of certain nonlinear functional equations. Considerations of such stabilities in different branches of mathematics have been very extensive. Again the fuzzy concepts ...
Some New Results on Coincidence Points for Multivalued Suzuki-Type Mappings in Fairly Complete Spaces
(MDPI, 2020-03-17)
In this paper, we introduce Suzuki-type generalized and modified proximal contractive mappings. We establish some coincidence and best proximity point results in fairly complete spaces. Also, we provide coincidence and ...
New Fixed Point Theorems in Orthogonal F -Metric Spaces with Application to Fractional Differential Equation
(MDPI, 2020-05-19)
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 ...
On Confinement and Quarantine Concerns on an SEIAR Epidemic Model with Simulated Parameterizations for the COVID-19 Pandemic
(MDPI, 2020-10-07)
This paper firstly studies an SIR (susceptible-infectious-recovered) epidemic model without demography and with no disease mortality under both total and under partial quarantine of the susceptible subpopulation or of both ...