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In this paper, some results on the existence of n-tuplet fixed points for multi-valued contraction mappings are proved via measure of noncompactness. As an application, the existence of solutions for a system of integral inclusions is…

泛函分析 · 数学 2020-02-04 Derya Sekman , Nour El Houda Bouzara , Vatan Karakaya

In this article we discuss the solvability of some class of fully nonlinear equations, and equations with p-Laplacian in more general conditions by using a new approach given in [1] for studying the nonlinear continuous operator. Moreover…

偏微分方程分析 · 数学 2012-08-14 Kamal N. Soltanov

We established a fixed-point theorem for mapping satisfying a general contractive inequality of integral type depended an another function. This theorem substantially extend the theorem due to Branciari (2003) and Rhoades (2003)

泛函分析 · 数学 2009-03-10 S. Moradi

In this paper we study the existence and uniqueness of fixed points of a class of mappings defined on complete, (sequentially compact) cone metric spaces, without continuity conditions and depending on another function.

泛函分析 · 数学 2009-06-12 José R. Morales , Edixon Rojas

The main purpose of this work is to extend the properties of multivalued transformations to the integral type transformations and to obtain the existence of fixed points under F-contraction. In addition, the results of this study were…

综合数学 · 数学 2020-02-04 Derya Sekman , Vatan Karakaya

We prove a fixed point theorem that combines the contraction mapping principle and some Knaster-Tarski-like theorem. As a consequence we obtain an existence theorem to initial value problem for ordinary differential equation with…

经典分析与常微分方程 · 数学 2023-01-18 Oleg Zubelevich

We introduce the concept of $b$-suprametric spaces and establish a fixed point result for mappings satisfying a nonlinear contraction in such spaces. The obtained result generalizes a fixed point theorem of Czerwik and a recent result of…

综合数学 · 数学 2024-10-24 Maher Berzig

This article sets forth results on the existence, a priori estimates and boundedness of positive solutions of a singular quasilinear systems of elliptic equations involving variable exponents. The approach is based on Schauder's fixed point…

偏微分方程分析 · 数学 2017-07-28 Abdelkrim Moussaoui , Jean Vélin

We establish a fixed-point theorem for the face maps that consist in deleting the $i$th entry of an ordered set. Furthermore, we show that there exists random finite sets of integers that are almost invariant under such deletions.…

群论 · 数学 2026-04-01 Tom Hutchcroft , Nicolas Monod , Omer Tamuz

We establish the existence of loop type subcontinua of nonnegative solutions for a class of concave-convex type elliptic equations with indefinite weights, under Dirichlet and Neumann boundary conditions. Our approach depends on local and…

偏微分方程分析 · 数学 2024-01-22 Uriel Kaufmann , Humberto Ramos Quoirin , Kenichiro Umezu

Using the theory of fixed point index, we discuss the existence and multiplicity of non-negative solutions of a wide class of boundary value problems with coupled nonlinear boundary conditions. Our approach is fairly general and covers a…

经典分析与常微分方程 · 数学 2014-08-14 Gennaro Infante , Paolamaria Pietramala

We prove a new fixed - point result for the image Im(j) of any continuous function j from K to (K x K), where K is a compact convex subset of a Hausdorff locally convex space, provided that the projection of Im(j) to the first factor is…

泛函分析 · 数学 2025-12-30 Ranjit Vohra

We prove that an infinite block-Toeplitz matrix with finite diagonal support is totally nonnegative if and only if it is the weight matrix of a cylindrical network. This generalizes a well-known theorem of Brenti concerning finite totally…

组合数学 · 数学 2025-02-21 Robert Angarone

In this work we study a generalized nonlocal thermistor problem with fractional-order Riemann-Liouville derivative. Making use of fixed-point theory, we obtain existence and uniqueness of a positive solution.

偏微分方程分析 · 数学 2012-11-05 Moulay Rchid Sidi Ammi , Delfim F. M. Torres

We show that a continuous map or a continuous flow on $\R^{n}$ with a certain recurrence relation must have a fixed point. Specifically, if there is a compact set W with the property that the forward orbit of every point in $\R^{n}$…

动力系统 · 数学 2007-05-23 David Richeson , Jim Wiseman

In this paper, we present the Brouwer-Schauder-Tychonoff fixed point theorem on locally convex spaces as the following extension and improvement: Suppose that S is a compact star-shaped subset with respect to p in S with its convexity index…

泛函分析 · 数学 2026-02-11 Lixin Cheng , Chulei Liu , Wen Zhang

In this paper by using the measure of noncompactness concept, we present new fixed point theorems for multivalued maps. In further we introduce a new class of mappings which are general than Meir-Keeler mappings. Finally, we use these…

泛函分析 · 数学 2020-02-04 Nour el Houda Bouzara , Vatan Karakaya

We establish existence and regularity of positive solutions for a class of quasilinear elliptic systems with singular and superlinear terms. The approach is based on sub-supersolution methods for systems of quasilinear singular equations…

偏微分方程分析 · 数学 2016-04-26 Brahim Khodja , Abdelkrim Moussaoui

The goal of this paper is to establish a general fixed point theorem for compact single-valued continuous mapping in Hausdorff p-vector spaces, and the fixed point theorem for upper semicontinuous set-valued mappings in Hausdorff locally…

泛函分析 · 数学 2023-04-13 George Xianzhi Yuan

In this paper we are going to prove a very general fixed point theorem for mappings acting in partial metric spaces. In that theorem we impose some conditions on behavior of considered mappings on orbits and a condition relating orbits of…

一般拓扑 · 数学 2023-12-27 Dariusz Bugajewski , Piotr Maćkowiak