Results 91 to 100 of about 165,963,646 (184)

Some Properties of Measures of Noncompactness in Paranormed Spaces [PDF]

open access: yesProceedings of the American Mathematical Society, 1988
This paper presents new properties of important measures of noncompactness in paranormed spaces. Using these properties some fixed point theorems for multivalued mappings in general topological vector spaces are obtained in a straightforward way.
openaire   +2 more sources

Measure of Noncompactness for Compact Matrix Operators on Some BK Spaces

open access: yesJournal of Function Spaces, 2014
We study the spaces w0p, wp, and w∞p of sequences that are strongly summable to 0, summable, and bounded with index p≥1 by the Cesàro method of order 1 and establish the representations of the general bounded linear operators from the spaces wp into the ...
E. Malkowsky, A. Alotaibi
doaj   +1 more source

Radon–Nikodým indexes and measures of weak noncompactness

open access: yesJournal of Functional Analysis, 2014
The authors introduce and study certain indices related to the Radon-Nikodým property in Banach spaces. Interesting quantitative versions of classic results in RNP are proved. Let \(E\) be a Banach space and \((\Omega,\Sigma,\mu)\) a complete probability space.
Cascales, B., Pérez, A., Raja, M.
openaire   +3 more sources

Advances in nonlinear analysis via the concept of measure of noncompactness

open access: yes, 2017
This book offers a comprehensive treatment of the theory of measures of noncompactness. It discusses various applications of the theory of measures of noncompactness, in particular, by addressing the results and methods of fixed-point theory. The concept
Jleli, Mohamed   +5 more
core   +1 more source

Fractional Partial Random Differential Equations with State-Dependent Delay

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science, 2017
In the present paper we provide some existence results for the Darboux problem of partial fractional random differential equations with state-dependent delay by applying the measure of noncompactness and a random fixed point theorem with stochastic ...
Benchohra Mouffak, Heris Amel
doaj   +1 more source

Measures of Noncompactness in Regular Spaces

open access: yesCanadian Mathematical Bulletin, 2014
AbstractPrevious results by the author on the connection between three measures of noncompactness obtained for Lp are extended to regular spaces of measurable functions. An example is given of the advantages of some cases in comparison with others. Geometric characteristics of regular spaces are determined.
openaire   +2 more sources

MEASURE OF NONCOMPACTNESS IN THE STUDY OF SOLUTIONS FOR A SYSTEM OF INTEGRAL EQUATIONS [PDF]

open access: yes, 2019
WOS: 000462503300006In this work, we prove the existence of solutions for a tripled system of integral equations using some new results of fixed point theory associated with measure of noncompactness.
Sekman, Derya   +3 more
core  

Generalized Caputo Proportional Boundary Value Langevin Fractional Differential Equations via Kuratowski Measure of Noncompactness

open access: yes
This manuscript aims to discuss the existence of solutions for nonlinear boundary value Langevin fractional differential equations involving the generalized Caputo proportional fractional derivative via Kuratowski measure of noncompactness in an arbitrary
AHMED KAJOUNI   +2 more
core   +1 more source

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