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Items from 1 to 20 out of 3,148 results

article

Fixed point theorems for Boolean networks expressed in terms of forbidden subnetworks

Adrien Richard, A. Richard

Theoretical Computer Science > 2015 > 583 > Complete > 1-26

We are interested in fixed points in Boolean networks, i.e. functions f from {0,1} ⁿ to itself. We define the subnetworks of f as the restrictions of f to the subcubes of {0,1} ⁿ , and we characterize a class F of Boolean networks satisfying the following property: Every subnetwork of f has a unique fixed point if and only if f has no subnetwork in F. This characterization generalizes...

article

Image restorations using a modified relaxed inertial technique for generalized split feasibility problems

Emeka C. Godwin, Chinedu Izuchukwu, Oluwatosin T. Mewomo

Mathematical Methods in the Applied Sciences > 46 > 5 > 5521 - 5544

In this article, we propose a new efficient self‐adaptive method and prove that it converges strongly to a minimum‐norm solution of a generalized split feasibility problem in real Hilbert spaces. The proposed method is derived from a definite discrete dynamical system in time, which combines both the relaxation and inertial techniques for the purpose of increasing the rate of convergence of the iterative...

article

Existence and controllability of second‐order nonlinear retarded integro‐differential systems with multiple delays in control

Abdul Haq

Asian Journal of Control > 25 > 1 > 623 - 628

This work analyzes the existence and exact controllability of nonlinear second‐order retarded integro‐differential equations involving delays in control. Making use of fixed point principle and cosine family we determine the existence of solutions. Then, under some assumptions, we show that the controllability of the associated linear system without delay implies the controllability of the associated...

article

The attractivity of functional hereditary integral equations

Qingxiang Fang, Xiaoping Liu, Jigen Peng

Mathematical Methods in the Applied Sciences > 46 > 2 > 1821 - 1836

In this paper, the problem of attractivity of solutions for functional hereditary integral equations is initiated. A hereditary integral equation is converted into a second kind Volterra integral equation of convolution type by use of the property of convolution. Sufficient conditions for the existence of attractive solutions are established according to the fixed point theorem. The conclusions presented...

article

On implicit fractional q‐difference equations: Analysis and stability

Nadjet Laledj, Abdelkrim Salim, Jamal Eddine Lazreg, Saïd Abbas, more

Mathematical Methods in the Applied Sciences > 45 > 17 > 10775 - 10797

This paper deals with some existence and Ulam stability results for some classes of implicit fractional

q

‐difference equations with and without random effects in Banach spaces and Banach algebras. Our results are provided by applying the fixed point theory (Itoh's random fixed point theorem, the nonlinear alternative of Schaefer's type proved by Dhage, and an other Dhage's random fixed point...

article

Existence of solution for a nonlinear fractional elliptic system at resonance and nonresonance

Sara Dob, Hakim Lekhal, Messaoud Maouni

Mathematical Methods in the Applied Sciences > 45 > 16 > 9998 - 10009

In this article, we study the existence of a weak solutions for the nonlinear fractional elliptic systems with Dirichlet boundary conditions in three cases. We use the Leray–Schauder degree and some sufficient conditions for the solvability of a resonance and non‐resonance systems with respect to the spectrum of the fractional Laplacian.

article

Some special functions in orthogonal fuzzy bipolar metric spaces and their fixed point applications

Müzeyyen Sangurlu Sezen

Numerical Methods for Partial Differential Equations > 38 > 4 > 794 - 802

In this work, we synthesize orthogonal and bipolar metric issues and tried to deal with them in fuzzy metric spaces. We introduce a new concept of orthogonal fuzzy bipolar metric space and prove some fixed point theorems for some contractions in this space. Also, we provide some examples to illustrate the validity of the results obtained in the paper.

article

A novel iterative scheme for solving delay differential equations and nonlinear integral equations in Banach spaces

Godwin Amechi Okeke, Austine Efut Ofem

Mathematical Methods in the Applied Sciences > 45 > 9 > 5111 - 5134

We propose a three‐step iteration process for finding the common fixed points of nonexpansive mapping and strongly pseudocontractive mapping in a real Banach space. We weaken the necessity of condition (C) imposed by a previous study on the mappings by using a quite simple and different method to obtain strong convergence of our proposed iterative scheme to the common fixed point of nonexpansive mapping...

article

Existence and Ulam–Hyers stability results for nonlinear fractional Langevin equation with modified argument

Faruk Develi

Mathematical Methods in the Applied Sciences > 45 > 7 > 3417 - 3425

In this paper, we give the existence and uniqueness result for the fractional order Langevin equation with modified argument by using the Bielecki norm. After, we consider a special form of this equation (delayed form) and then apply Burton's method to this special form to prove that there is a unique solution under weaker conditions than the other result. Further, we derive the Ulam–Hyers stability...

article

Banach, Kannan, Chatterjea, and Reich‐type contractive inequalities for multivalued mappings and their common fixed points

Pradip Debnath

Mathematical Methods in the Applied Sciences > 45 > 3 > 1587 - 1596

In this paper, we present Banach, Kannan, Chatterjea, and Reich‐type contractive inequalities for multivalued mappings and prove the existence of their common fixed points in a complete metric space without assuming compactness of the images under those mappings.

article

On irreducible products of characters

Ping Jin, Yong Yang

Mathematische Nachrichten > 294 > 11 > 2184 - 2187

We are concerned with two conjectures of Isaacs, and prove several results that generalize some of the related theorems of Isaacs and of Fukushima.

article

L ∞-error estimates of a finite element method for Hamilton-Jacobi-Bellman equations with nonlinear source terms with mixed boundary condition

Madjda Miloudi, Samira Saadi, Mohamed Haiour

Demonstratio Mathematica > 2021 > Vol. 54, nr 1 > 452--461

In this paper, we introduce a new method to analyze the convergence of the standard finite element method for Hamilton-Jacobi-Bellman equation with noncoercive operators with nonlinear source terms with the mixed boundary conditions. The method consists of combining Bensoussan-Lions algorithm with the characterization of the solution, in both the continuous and discrete contexts, as fixed point of...

article

An inertial subgradient extragradient method of variational inequality problems involving quasi‐nonexpansive operators with applications

Raweerote Suparatulatorn, Phakdi Charoensawan, Anchalee Khemphet

Mathematical Methods in the Applied Sciences > 44 > 17 > 13526 - 13539

In this work, a new algorithm is suggested to solve the variational inequality problems for Lipschitz continuous and monotone operators and the fixed point problems for quasi‐nonexpansive operators. This algorithm is constructed based on the inertial subgradient extragradient method. In addition, a strong convergence theorem for this algorithm is obtained under some extra conditions. Furthermore,...

article

An inertial subgradient extragradient method of variational inequality problems involving quasi‐nonexpansive operators with applications

Raweerote Suparatulatorn, Phakdi Charoensawan, Anchalee Khemphet

Mathematical Methods in the Applied Sciences > 44 > 17 > 12760 - 12773

article

The Henstock‐Kurzweil‐Pettis integral and multiorders fractional differential equations with impulses and multipoint fractional integral boundary conditions in Banach spaces

Djamila Seba, Sadek Habani, Abbes Benaissa, Hamza Rebai

Mathematical Methods in the Applied Sciences > 44 > 10 > 8345 - 8362

This paper is devoted to the existence of weak solutions for a multipoint fractional integral boundary value problem of an impulsive nonlinear differential equation involving multiorders fractional derivatives and deviating argument. We make use of an appropriate fixed point theorem combined with the technique of measures of weak noncompactness. Our investigation is considered in a Banach space. The...

article

Fixed point results for a new metric space

Murat Kirişci, Necip Şimşek, Mahmut Akyiğit

Mathematical Methods in the Applied Sciences > 44 > 9 > 7416 - 7422

In this paper, we introduce the neutrosophic contractive and neutrosophic mapping. We establish some results on fixed points of a neutrosophic mapping.

article

System of boundary random fractional differential equations via Hadamard derivative

Zakaria Malki, Farida Berhoun, Abdelghani Ouahab

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica > 2021 > 20 > 17-41

We study the existence of solutions for random system of fractional differential equations with boundary nonlocal initial conditions. Our approach is based on random fixed point principles of Schaefer and Perov, combined with a vector approach that uses matrices that converge to zero. We prove existence and uniqueness results for these systems. Some examples are presented to illustrate the theory.

article

A generalization of Matthews partial metric space and fixed point theorems

A. Antal, U. C. Gairola, D. Khantwal, J. Matkowski, more

Fasciculi Mathematici > 2021 > nr 65 > 5--15

In the present paper, we introduce the notion of a generalized partial metric space which is an extension of the partial metric space due to S. G. Matthews (Partial metric topology, Papers on general topology and applications, Ann. New York Acad. Sci.,728 (1994), 183-197). We investigate some basic properties of the generalized partial metric spaces and establish some new fixed point theorems for...

article

An iterative algorithm for the system of split mixed equilibrium problem

Ibrahim Karahan, Lateef Olakunle Jolaoso

Demonstratio Mathematica > 2020 > Vol. 53, nr 1 > 309--324

In this article, a new problem that is called system of split mixed equilibrium problems is introduced. This problem is more general than many other equilibrium problems such as problems of system of equilibrium, system of split equilibrium, split mixed equilibrium, and system of split variational inequality. A new iterative algorithm is proposed, and it is shown that it satisfies the weak convergence...

article

Network reliability: Heading out on the highway

Jason I. Brown, Charles J. Colbourn, Danielle Cox, Christina Graves, more

Networks > 77 > 1 > 146 - 160

A variety of probabilistic notions of network reliability of graphs and digraphs have been proposed and studied since the early 1950s. Although grounded in the engineering and logistics of network design and analysis, the research also spans pure and applied mathematics, with connections to areas as diverse as combinatorics and graph theory, combinatorial enumeration, optimization, probability theory,...

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Search results

Fixed point theorems for Boolean networks expressed in terms of forbidden subnetworks

Image restorations using a modified relaxed inertial technique for generalized split feasibility problems

Existence and controllability of second‐order nonlinear retarded integro‐differential systems with multiple delays in control

The attractivity of functional hereditary integral equations

On implicit fractional q‐difference equations: Analysis and stability

Existence of solution for a nonlinear fractional elliptic system at resonance and nonresonance

Some special functions in orthogonal fuzzy bipolar metric spaces and their fixed point applications

A novel iterative scheme for solving delay differential equations and nonlinear integral equations in Banach spaces

Existence and Ulam–Hyers stability results for nonlinear fractional Langevin equation with modified argument

Banach, Kannan, Chatterjea, and Reich‐type contractive inequalities for multivalued mappings and their common fixed points

On irreducible products of characters

L ∞-error estimates of a finite element method for Hamilton-Jacobi-Bellman equations with nonlinear source terms with mixed boundary condition

An inertial subgradient extragradient method of variational inequality problems involving quasi‐nonexpansive operators with applications

An inertial subgradient extragradient method of variational inequality problems involving quasi‐nonexpansive operators with applications

The Henstock‐Kurzweil‐Pettis integral and multiorders fractional differential equations with impulses and multipoint fractional integral boundary conditions in Banach spaces

Fixed point results for a new metric space

System of boundary random fractional differential equations via Hadamard derivative

A generalization of Matthews partial metric space and fixed point theorems

An iterative algorithm for the system of split mixed equilibrium problem

Network reliability: Heading out on the highway

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