Measure of Weak Noncompactness and Fixed Point Theorems in Banach Algebras with Applications [PDF]
Axioms, 2019 In this paper, we prove some fixed point theorems for the nonlinear operator A · B + C in Banach algebra. Our fixed point results are obtained under a weak topology and measure of weak noncompactness; and we give an example of the application of our results to a nonlinear integral equation in Banach algebra.
Mohamed Amine Farid +2 more
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Real Interpolation and Measure of Weak Noncompactness
Mathematische Nachrichten, 1995 AbstractBehavior of weak measures of noncompactness under real interpolation is investigated. It is shown that “convexity type” theorems hold true for weak measures of noncompactness.
Aksoy, A. G., Maligranda, Lech
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Multivalued fixed point theorems in terms of weak topology and measure of weak noncompactness
Journal of Mathematical Analysis and Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tiziana Cardinali, Paola Rubbioni
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Measures of weak noncompactness in Banach spaces
Topology and Its Applications, 2009 For a bounded subset \(H\) of a Banach space \(E\), the following quantities are considered: \[ \omega(H) = \inf\{\varepsilon > 0: H \subset K_\varepsilon + \varepsilon B_E \text{ and } K_\varepsilon \subset E \text{ is } w-\text{compact}\}; \] \[ \gamma(H) = \sup\left\{\left|\lim_n \lim_m f_m(x_n) - \lim_m \lim_n f_m(x_n) \right|: (f_m) \subset B_{E^*}
C Angosto, B Cascales
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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
doaj +2 more sources
International Journal of Differential Equations, 2018 By combining the techniques of fractional calculus with measure of weak noncompactness and fixed point theorem, we establish the existence of weak solutions of multipoint boundary value problem for fractional integrodifferential equations.
Haide Gou, Baolin Li
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Weak solutions for nonlinear fractional differential equations with integral boundary conditions in Banach spaces [PDF]
Opuscula Mathematica, 2012 The aim of this paper is to investigate a class of boundary value problems for fractional differential equations involving nonlinear integral conditions.
Mouffak Benchohra, Fatima-Zohra Mostefai
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Weak Solutions for Partial Random Hadamard Fractional Integral Equations with Multiple Delays
Discrete Dynamics in Nature and Society, 2017 We present some results concerning the existence of weak solutions for some functional integral equations of Hadamard fractional order with random effects and multiple delays by applying Mönch’s and Engl’s fixed point theorems associated with the ...
Saïd Abbas +3 more
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Relative $$\varepsilon$$-pseudo weak demicompactness and measures of weak noncompactness
Annals of Functional Analysis, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bilel Krichen, Krichen Bilel
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Measure of weak noncompactness under complex interpolation [PDF]
Studia Mathematica, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Andrzej Kryczka, Stanisław Prus
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