In this paper, a COVID-19 Awareness model in the setting of a generalized fractional Atangana-Baleanu derivative is proposed. The existence and uniqueness of a solution of the proposed fractional-order model are investigated under the techniques of fixed point theorems. In addition, we perform the predictor-corrector method to find its numeric solutions and present the graphs of the various solutions using different values of the parameters embodied in the derivative.
2
Dostęp do pełnego tekstu na zewnętrznej witrynie WWW
Altun et al. explored the existence of fixed points for multivalued F-contractions and proved some fixed point theorems in complete metric spaces. This paper extended the results of Altun et al. in partial metric spaces and proved fixed point theorems for multivalued F-contraction mappings. Some illustrative examples are provided to support our results. Moreover, an application for the existence of a solution of an integral equation is also enunciated, showing the materiality of the obtained results.
The present paper deals with the existence and uniqueness of solutions for a boundary value problem of nonlinear fractional differential equations with Katugampola fractional derivative. The main results are proved by means of Guo-Krasnoselskii and Banach fixed point theorems. For applications purposes, some examples are provided to demonstrate the usefulness of our main results.
4
Dostęp do pełnego tekstu na zewnętrznej witrynie WWW
This paper is concerned with the existence and uniqueness of solutions for a coupled system of fractional differential equations with nonlocal and integral boundary conditions. The existence and uniqueness of solutions is established by Banach’s contraction principle, while the existence of solutions is derived by using Leray-Schauder’s alternative. The results are explained with the aid of examples. The case of nonlocal strip conditions is also discussed.
5
Dostęp do pełnego tekstu na zewnętrznej witrynie WWW
The aim of the present paper is to obtain some new common fixed point theorems for a pair of Lipschitzian type selfmappings satisfying a minimal commutativity and weaker continuity conditions. In the setting of our results we establish a situation in which a pair of mappings may possess common fixed points as well as coincidence points which may not be common fixed points. Our results generalize several fixed point theorems.
6
Dostęp do pełnego tekstu na zewnętrznej witrynie WWW
The purpose of this note is to use general expanssive conditions and minimal type commutativity without continuity requirements to prove some fixed point theorems. The theorems extend known results from the class of compatible continuous expansive maps to a wider class of mappings.
7
Dostęp do pełnego tekstu na zewnętrznej witrynie WWW
In this paper, we prove a common fixed point theorem for sequences of maps under the condition of compatible mappings on complete metric space. We extend and generalize several fixed point theorems on complete metric space.
8
Dostęp do pełnego tekstu na zewnętrznej witrynie WWW
B. Singh and R. K. Sharma [Demonstratio Math. Vol. 36, No.l (2003), 215-220] have proved two common fixed point theorems for two self-maps satisfying an expansive condition in D- metric spaces. This note offers generalization for these theorems for three self-maps using weak- compatibility and reduces the domain of z to an orbit only. The last theorem proves that the continuity of none of two or three maps is required in the setting of D- metric space.
9
Dostęp do pełnego tekstu na zewnętrznej witrynie WWW
In this paper some common fixed point theorems for single- and multivalued contractive mappings with weak commutativity and compatibility conditions are given. Assumed that single-valued T and S are self-mappings on a generalized (in the sense of Jung [8]) metric space (X,d). Multi-valued mappings F,G : -Cl(X) have values in a space (Cl(X),H) of all nonempty and closed subsets of X, where H is a generalized Hausdorff metric in Cl(X).
10
Dostęp do pełnego tekstu na zewnętrznej witrynie WWW
In this paper a Gregus type common fixed point theorem for coincidently commuting mappings is proved and utilized to obtain the iterative solution of certain variational inequalities.
11
Dostęp do pełnego tekstu na zewnętrznej witrynie WWW
Let C be a nonempty convex and closed subset of a normed linear space X and CB{C) be a family of all nonempty closed and bounded, not necessarily compact subsets of C. In this paper the convergence of the Ishikawa iterates to a common fixed point of a pair of multivalued mappings S, T : C - CB(C) which satisfy a very general condition (3) below, is considered.
12
Dostęp do pełnego tekstu na zewnętrznej witrynie WWW
In the present paper we obtain a common fixed point theorem under a new contractive condition which is independent of the known contractive definitions. In the second fixed point theorem we study the dynamics of a class of functions induced by real numbers and then apply the result to obtain general tests for divisibility of numbers.
13
Dostęp do pełnego tekstu na zewnętrznej witrynie WWW
The aim of this note is to prove some fixed and common fixed point theorems in complete metric spaces for self-maps verifying generalized contractive conditions close to that one introduced by M. S. Khan, M. Swaleh and S. Sessa in [6]. Moreover our results utilize much weaker conditions on the functions altering the distances between the points. Our main result unifies and improves the main results of papers [I], [4], [6] and [8].
14
Dostęp do pełnego tekstu na zewnętrznej witrynie WWW
Coincidence and fixed point theorems for a quadruple of maps on an arbitrary set with values in a metric space and with minimal commutavity conditions have been studied. Applications to nonlinear integral equations are also given.
15
Dostęp do pełnego tekstu na zewnętrznej witrynie WWW