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In this paper, the dynamics of a modified Nicholson-Bailey model as a discrete dynamical system has been studied. Local dynamics in a neighborhood of boundary fixed points are investigated. It is also proved that the model has a unique positive fixed point and a Neimark-Sacker bifurcation emerges at this fixed point. Some numerical simulations are presented to illustrate the analytical results. [ABSTRACT FROM AUTHOR]

In this paper, we introduce the concept of F--G--contraction mappings in F-metric spaces endowed with a graph and give some fixed point results for such contractions. Our results are generalization of some famous theorem in metric spaces to F--metric spaces endowed with a graph. Also, we give some examples that support obtained theoretical results. [ABSTRACT FROM AUTHOR]

In this paper, we will investigate the existence of some solutions for a multi singular fractional differential system with some boundary conditions. [ABSTRACT FROM AUTHOR]

In this paper, we study the existence of nontrivial solutions for a fractional boundary value problem in Hölder spaces by a technical approach based on Leray-Schauder nonlinear alternative. Moreover, using the concept of orthogonal set on Banach fixed point theorem we obtain another existence result with weaker conditions. Also, recent results are extended and improved. In addition, we give some examples to illustrate the feasibility and effectiveness of our results. [ABSTRACT FROM AUTHOR]

In this paper, it is attempted to approximate the real and complex roots of nonlinear equations. For this reason, by considering the convergence conditions of Adomian decomposition method (ADM) for solving functional equations, a new appropriate method is presented. It will be shown that the proposed method can be computed suitable approximate real and complex roots of a given function more efficient than Maple software. Furthermore, with providing some examples the aforementioned cases are dealt with numerically. [ABSTRACT FROM AUTHOR]

This paper deals with the existence and uniqueness results for a class of impulsive boundary value problem for implicit nonlinear fractional differential equations and k-Generalized ψ-Hilfer fractional derivative involving both retarded and advanced arguments. Our results are based on the Banach contraction principle and Schauder's fixed point theorem. Suitable illustrative examples are provided. [ABSTRACT FROM AUTHOR]

In this paper, we introduce the notion of extended partial metric space and we present some fixed point theorems in generalized partial metric spaces involving linear and nonlinear contractions. [ABSTRACT FROM AUTHOR]

In the current work, we present some innovative solutions for the attractivity of fractional functional q-differential equations involving Caputo fractional q-derivative in a k-dimensional system, by using some fixed point principle and the standard Schauder's fixed point theorem. Likewise, we look into the global attractivity of fractional q-differential equations involving classical Riemann-Liouville fractional q-derivative in a k-dimensional system, by employing the famous fixed point theorem of Krasnoselskii. Also, we must note that, this paper is mainly on the analysis of the model, with numerics used only to verify the analysis for checking the attractivity and global attractivity of solutions in the system. Lastly, we give two examples to illustrate our main results. [ABSTRACT FROM AUTHOR]

In this paper, we associate to each natural number η a digraph Г(η) whose set of vertices is H = {0, 1, ... , η - 1} and for which there is a directed edge from a ∊ H to b ∊ H if a5 ≡ b (mod η). We determine the number of the fixed points of Г(η). We also give the structure of Г(η) for η = 2k and η = 5k , where k is a natural number. Making use of the Carmichael's Theorem, we present a simple condition for the existence of cycles in Г(η). Let Г1 (η) be the subdigraph induced by the vertices which are coprime to η. We discuss when Г1 (η) is regular or semiregular. [ABSTRACT FROM AUTHOR]

In this paper, we introduce the notion of dislocated Sb-metric space and describe some fixed point theorems concerning F-contraction in the setup of such spaces. We provide some examples to verify the effectiveness and applicability of our main results. [ABSTRACT FROM AUTHOR]

In this paper we investigate further properties of the de- formable derivative and use the results to study the existence of solu- tions to the integro-differential equation ..., with initial condition y(0) = y0; where Dαy(t) is the deformable derivative of y, 0 < α < 1. We useWeissinger's fixed point theorem and Krasnoselskii's fixed point theorem to achieve our main results. An example is provided for illustration. [ABSTRACT FROM AUTHOR]

In this paper, we use the concept of a generalized - Geraghty contraction type mapping to introduce the new notion of - Geraghty type F-contraction multivalued mapping and prove some new common fixed point results for such contraction in b-metric-like spaces. Also, we give some examples to illustrate our main results, we also discuss existence a solution for a system of non-linear integral equation. [ABSTRACT FROM AUTHOR]

In this paper, we define a generalized c-distance in tvs-cone b-metric spaces and introduce some results about its properties. Then we prove some new fixed point and common fixed point results (with the underlying cone which is not normal). Respective results concerning mappings without periodic points are also deduced. Some examples are presented to validate our obtained results. An application to system of Fredholm integral equations is presented. [ABSTRACT FROM AUTHOR]

Let G be a graph with n vertices and m edges. The minimum edge dominating energy is defined as the sum of the absolute values of eigenvalues of the minimum edge dominating matrix of the graph G. In this paper, some lower and upper bounds for the minimum edge dominating energy of graph G are established. [ABSTRACT FROM AUTHOR]

In this paper, we show that the relative algebraic interior is a suitable replacement for both of the topological interior and the algebraic interior for the cases where these are empty. Also, we present some properties of (relative) algebraic interior and some fixed point theorems for increasing mapping. The obtained results can be viewed as an extension and improvement of the known corresponding results. Also, some examples are to support our conclusions considered. [ABSTRACT FROM AUTHOR]

In this paper, an iterative method is extended to solve nonlinear two- and three-dimensional mixed Volterra-Fredholm integral equations. We consider a nonlinear operator of these integral equa- tions and then develop the iterative method which was introduced in [J MATH ANAL APPL. 316 (2006) 753-763] to solve them. Conver- gence property of the suggested schemes are proved under some mild assumptions. In both cases, numerical examples are given to compare the performance of the proposed method with some existing methods. [ABSTRACT FROM AUTHOR]

In this paper, we study coposinormal composition operators and posinormal weighted composition operators on the Hardy space H²(D). We show that if Wψ,φ is coposinormal on H²(D), then ψ never vanishes on D also we prove that φ is univalent. Moreover, we study the commutant of a coposinormal weighted composition operator. [ABSTRACT FROM AUTHOR]

This paper presents sufficient conditions for the existence of positive solutions for the nonlinear Hammerstein and quadratic integral inclusion. In this way, we use concave multifunctions and fixed point theory for obtaining or results. In fact, for solving the Hammerstein integral inclusion problem, we use fixed point of some concave multifunctions. [ABSTRACT FROM AUTHOR]

In this paper, we present a BOX mathematical model for the release of COVID-19. We intend to generalize the model to fractional order derivative in Atangana-Baleanu sense and to show the existence of solution for the fractional model using Schaefer's fixed point theorem and for the uniqueness of solution we make use of Banach fixed point theorem. By using Shehu transform and Picard successive iterative procedure, we explore the iterative solutions and its stability for the considered fractional model. Given the beginning of a new wave of COVID-19 spread in Indonesia, we present a numerical simulation to study and predict the spread of the disease in this country. [ABSTRACT FROM AUTHOR]

The aim of this paper is to establish the structure of C*- algebra-valued b2-metric space and give some fixed point theorems for self-maps with contractive or expansive conditions on such spaces. As an application we investigate existence and uniqueness solution for a type of integral equation. [ABSTRACT FROM AUTHOR]

The concept of a w-distance on a metric space has been introduced by Kada et al. [22]. They generalized Caristi fixed point theorem, Ekeland variational principle and the nonconvex minimization theorem according to Takahashi. In the present paper, we first introduce the notion of quasi w-distances in quasi-metric spaces, and then we will prove some fixed point theorems for L-contractive mappings in the class of quasi-metric spaces with w-distances via a control function introduced by Jleli and Samet [20]. These results generalize many fixed point theorems by Kada et al. [22], Suzuki [33], Ciric [15], Aydi et al. [6], Abbas and Rhoades [1], Kannan [23], Hicks and Rhoades [19], Du [16], Lakzian et al. [26], Lakzian and Rhoades [30] and others. Finally, some examples in support of the concepts and presented results are given. [ABSTRACT FROM AUTHOR]

In this work, we discuss the existence of solutions of infinite systems for a boundary value problem of Caputo fractional differential inclusions involving convex-compact multivalued maps. Our results are based on an appropriate fixed point theorem for condensing maps in the multivalued case. Eventually, we demonstrate an example to show the effectiveness and usefulness of the obtained result. [ABSTRACT FROM AUTHOR]

We first introduce a novel notion named C*-algebra-valued bv(s)-metric spaces. Then, we give proofs of the Banach contraction principle, the expansion mapping theorem, and Jungck's theorem in C*-algebra-valued bv(s)-metric spaces. As an application of our results, we establish a result for an integral equation in a C*-algebra-valued bv(s)-metric space. Finally, a numerical method is presented to solve the proposed integral equation, and the convergence of this method is also studied. Moreover, a numerical example is given to show applicability and accuracy of the numerical method and guarantee the theoretical results. [ABSTRACT FROM AUTHOR]

We propose a new notion of contraction mappings for two class of functions involving the measure of noncompactness in Banach space and derive some basic Darbo type fixed and coupled fixed point results. This work includes and extends the results of Falset and Latrach [J. G. Falset and K. Latrach, On Darbo-Sadovskii’s fixed point theorems type for abstract measures of (weak) noncompactness, Bull. Belg. Math. Soc. Simon Stevin 22 (2015), 797-812]. The results are also correlated with the classical generalized Banach fixed point theorems. Finally, we will discuss the applicability of obtained results to the Volterra integral equations in Banach algebras with an illustration. [ABSTRACT FROM AUTHOR]

We introduce the notion of modified Hardy-Rogers type F-contraction on closed ball, F -multiplicative contraction on closed ball and we obtain some new fixed point results for such contractions. Some comparative examples are constructed to illustrate these results. The existence of the solution of family of Volterra type integral equations is shown via fixed point methods. [ABSTRACT FROM AUTHOR]

The notion of dualistic Geraghty Contraction is introduced. A new fixed point theorem is proved in the settings of complete dualistic partial metric spaces. The counterpart theorem provided in partial metric spaces is retrieved as a particular case of our new results. We give example to prove that the contractive conditions in the statement of our new fixed point theorem can not be replaced by those contractive conditions in the statement of the partial metric counterpart fixed point theorem. Moreover, we give an application of our fixed point theorem to show the existence of solution of integral equations. [ABSTRACT FROM AUTHOR]