Results 31 to 40 of about 855 (128)
Schaefer–Krasnoselskii fixed point theorems using a usual measure of weak noncompactness
Journal of Differential Equations, 2011 In [``A fixed point theorem of Krasnoselskii-Schaefer type'', Math. Nachr. 189, 23--31 (1998; Zbl 0896.47042)], \textit{T. A. Burton} and \textit{C. Kirk} proved the following theorem of Krasnoselskii-Schaefer type. Let \(\left( X,\| \cdot \| \right) \) be a Banach space and let \(A,B: X\rightarrow X\) be two continuous mappings.
Jesús Garcı́a-Falset +3 more
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Analysis in Theory and Applications, 2011 Summary: The main purpose of this paper is to prove a collection of new fixed point theorems and existence theorems for the nonlinear operator equation \(F (x)=\alpha x\) (\(\alpha\geq 1\)) for so-called 1-set weakly contractive operators on unbounded domains in Banach spaces.
ShaoyuanXu, Afif Afif, Ben, Amar
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Essential spectra of some matrix operators by means of measures of weak noncompactness [PDF]
Operators and Matrices, 2014 Boulbeba Abdelmoumen
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ON THE VOLTERRA-STIELTJES INTEGRAL EQUATION AND AXIOMATIC MEASURES OF WEAK NONCOMPACTNESS [PDF]
International Journal of Apllied Mathematics, 2019 A.A.H. Abd El-Mwla
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Measures of weak noncompactness and fixed point theory in Banach algebras satisfying condition (<i>P</i>) [PDF]
Fixed Point Theory, 2017 Afif Ben Amar, Donal O’Regan
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Weak solutions for nonlinear fractional differential equations on reflexive Banach spaces [PDF]
, 2010 The aim of this paper is to investigate a class of boundary value problem for fractional differential equations involving nonlinear integral conditions.
Benchohra, M., Graef, John, Mostefai, F.
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Weak Solution for a Fractional Langevin Inclusion with the Katugampola–Caputo Fractional Derivative
Fractal and Fractional, 2023 In this work, we examine the existence of weak solution for a class of boundary value problems involving fractional Langevin inclusion with the Katugampola–Caputo fractional derivative under specified conditions contain the Pettis integrability ...
Lamya Almaghamsi
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Solvability of functional quadratic integral equations with perturbation [PDF]
Opuscula Mathematica, 2013 We study the existence of solutions of the functional quadratic integral equation with a perturbation term in the space of Lebesgue integrable functions on an unbounded interval by using the Krasnoselskii fixed point theory and the measure of weak ...
Mohamed M. A. Metwali
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Boundary Value Problems, 2023 In this paper, we present the definitions of fractional integrals and fractional derivatives of a Pettis integrable function with respect to another function.
Hussein A. H. Salem +2 more
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Existence of weak solutions to stochastic evolution inclusions [PDF]
, 2004 We consider the Cauchy problem for a semilinear stochastic differential inclusion in a Hilbert space. The linear operator generates a strongly continuous semigroup and the nonlinear term is multivalued and satisfies a condition which is more heneral than
De Fitte, Paul Raynaud +2 more
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