Results 61 to 70 of about 165,965,242 (115)

The class of F-contraction mappings with a measure of noncompactness

, 2017
In this chapter we review a class of contraction conditions, which are largely used to obtain interesting generalizations of the Banach fixed-point theorem in various abstract settings.
Francesca Vetro, Calogero Vetro, Vetro, Calogero, Vetro, Francesca   +3 more
core   +1 more source

On a unified study of relative Chebyshev radii and Hausdorff measures of noncompactness

, 2016
The paper is concerned with the notion of the Lifschitz modulus and its relationship with both relative Chebyshev radii and Hausdorff measures of noncompactness.
Espínola García, Rafael, Wisnicki, Andrzej, Wosko, Jacek   +2 more
openaire   +3 more sources

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  

Hausdorff-Distance Enhanced Matching of Scale Invariant Feature Transform Descriptors in Context of Image Querying [PDF]

, 2012
Reliable and effective matching of visual descriptors is a key step for many vision applications, e.g. image retrieval. In this paper, we propose to integrate the Hausdorff distance matching together with our pairing algorithm, in order to obtain a ...
D. Wilson, Olszewska, Joanna Isabelle, Wilson, D., J.I. Olszewska   +3 more
core   +1 more source

Geraghty–𝔽-Contraction Type Darbo Fixed-Point Theorems With an Application

Journal of Mathematics
In this study, Darbo’s fixed-point theorem is extended by employing Geraghty–𝔽-contractions on Banach spaces. The obtained results are then applied to establish the existence of solutions for a fractional integral equation in the space C0,ς, equipped ...
Samira Hadi Bonab, Hasan Hosseinzadeh, Reza Alayi, Zoran Mitrovic, Shahla Hosseini   +4 more
doaj   +1 more source

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  

The existence and Hyers–Ulam stability of solution for an impulsive Riemann–Liouville fractional neutral functional stochastic differential equation with infinite delay of order 1<β<2 $1<\beta<2$

Boundary Value Problems, 2019
This paper deals with the existence of solution for an impulsive Riemann–Liouville fractional neutral functional stochastic differential equation with infinite delay of order ...
Yuchen Guo, Xiao-Bao Shu, Yongjin Li, Fei Xu   +3 more
doaj   +1 more source

On simultaneous local dimension functions of subsets of Rd [PDF]

, 2015
Date of Acceptance: 04/05/2015For a subset E ⊑ Rd and x ∈ Rd, the local Hausdorff dimension function of E at x and the local packing dimension function of E at x are defined by (Formula presented.) where dimH and dimP denote the Hausdorff dimension and ...
Olsen, Lars Ole Ronnow
core   +1 more source

Applications of Hausdorff measure of noncompactness in the spaces of generalized means [PDF]

Mathematical Inequalities & Applications, 2013
M. Mursaleen, Abdullah K. Noman
openaire   +1 more source