Results 81 to 90 of about 813 (141)

σ-porous sets of generalised nonexpansive mappings [PDF]

, 2014
In the paper we show that many generic results obtained in the last 40 years in the field of fixed point theory, are consequences of one general theorem. As an application we get some extensions of them and we study the generic aspect of the existence of
Strobin, Filip
core  

On the Solution of n‐Product of 2D‐Hadamard–Volterra Integral Equations in Banach Algebra

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this study, the solvability of a general form of product type of n‐classes of 2D‐Hadamard–Volterra integral equations in the Banach algebra C([1, a] × [1, b]) is studied and investigated under more general and weaker assumptions. We use a general form of the Petryshyn’s fixed point theorem (F.P.T.) in combination with a suitable measure of ...
Mohamed M. A. Metwali, Manochehr Kazemi, Shami A. M. Alsallami, Ji Gao   +3 more
wiley   +1 more source

Existence of Mild Solutions for a Semilinear Integrodifferential Equation with Nonlocal Initial Conditions

Abstract and Applied Analysis, 2012
Using Hausdorff measure of noncompactness and a fixed-point argument we prove the existence of mild solutions for the semilinear integrodifferential equation subject to nonlocal initial conditions u′(t)=Au(t)+∫0tB(t-s)u(s)ds+f(t,u(t)), t∈[0,1], u(0)=g(u),
Carlos Lizama, Juan C. Pozo
doaj   +1 more source

On solvability of the impulsive Cauchy problem for integro-differential inclusions with non-densely defined operators. [PDF]

Philos Trans A Math Phys Eng Sci, 2021
Benedetti I, Obukhovskii V, Taddei V.
europepmc   +1 more source

Measures of Noncircularity and Fixed Points of Contractive Multifunctions

Fixed Point Theory and Applications, 2010
In analogy to the Eisenfeld-Lakshmikantham measure of nonconvexity and the Hausdorff measure of noncompactness, we introduce two mutually equivalent measures of noncircularity for Banach spaces satisfying a Cantor type property, and apply them to ...
Marrero Isabel
doaj  

Asymptotic centers and fixed points for multivalued nonexpansive mappings [PDF]

, 2004
Let X be a nearly uniformly convex Banach space, C a convex closed bounded subset of X and T : C → 2 C a multivalued nonexpansive mapping with convex compact values. We prove that T has a fixed point.
Domínguez Benavides, Tomás, Lorenzo Ramírez, Josefa   +1 more
core  

Theoretical analysis of a class of φ-Caputo fractional differential equations in Banach space

AIMS Mathematics
A study of a class of nonlinear differential equations involving the $ \varphi $-Caputo type derivative in a Banach space framework is presented. Weissinger's and Meir-Keeler's fixed-point theorems are used to achieve some quantitative results.
Ma'mon Abu Hammad , Oualid Zentar, Shameseddin Alshorm , Mohamed Ziane, Ismail Zitouni   +4 more
doaj   +1 more source

Fixed points of the Barnsley-Hutchinson operators induced by hyper-condensing maps

Le Matematiche, 2005
The aim of this note is to show that the Barnsley-Hutchinson operator, induced by either single h-bounded hyper-condensing map or a compact infinite family of such maps, admits a maximal fixed point and global attractor.Under suitable continuity ...
Krzysztof Leśniak
doaj  

Existence theorems for differential inclusions with nonconvex right hand side

International Journal of Mathematics and Mathematical Sciences, 1986
In this paper we prove some new existence theorems for differential inclusions with a nonconvex right hand side, which is lower semicontinuous or continuous in the state variable, measurable in the time variable and takes values in a finite or infinite ...
Nikolaos S. Papageorgiou
doaj   +1 more source

Quasilinear nonlocal integrodifferential equations in Banach spaces

Electronic Journal of Differential Equations, 2008
In this paper, we study the existence of mild solutions for quasilinear integrodifferential equations with nonlocal conditions in Banach spaces. The results are established by using Hausdorff's measure of noncompactness.
Jin Zhang, Gang Li, Qixiang Dong
doaj