Cyclic (noncyclic) phi-condensing operator and its application to a system of differential equations [PDF]
Nonlinear Analysis, 2019 We establish a best proximity pair theorem for noncyclic φ-condensing operators in strictly convex Banach spaces by using a measure of noncompactness. We also obtain a counterpart result for cyclic φ-condensing operators in Banach spaces to guarantee the
Moosa Moosa Gabeleh +2 more
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Positive solutions of fractional integral equations by the technique of measure of noncompactness. [PDF]
J Inequal Appl, 2017 In the present study, we work on the problem of the existence of positive solutions of fractional integral equations by means of measures of noncompactness in association with Darbo’s fixed point theorem. To achieve the goal, we first establish new fixed
Nashine HK +3 more
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[Formula: see text]-Contraction in terms of measure of noncompactness with application for nonlinear integral equations. [PDF]
J Inequal Appl, 2017 In this paper, some new generalization of Darbo’s fixed point theorem is proved by using a F ( ψ , φ ) $F(\psi,\varphi)$ -contraction in terms of a measure of noncompactness.
Nikbakhtsarvestani F +2 more
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Extension of Darbo’s fixed point theorem via shifting distance functions and its application [PDF]
Nonlinear Analysis, 2022 In this paper, we discuss solvability of infinite system of fractional integral equations (FIE) of mixed type. To achieve this goal, we first use shifting distance function to establish a new generalization of Darbo’s fixed point theorem, and then apply ...
Hemant Kumar Nashine, Anupam Das
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Existence and controllability of integrodifferential equations with non-instantaneous impulses in Fréchet spaces [PDF]
Cubo, 2023 In this paper, we investigate existence of mild solutions to a non-instantaneous integrodifferential equation via resolvent operators in the sense of Grimmer in Fréchet spaces. Utilizing the technique of measures of noncompactness in conjunction with the
Abdelhamid Bensalem +3 more
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Solvability of a system of integral equations in two variables in the weighted Sobolev space $W^{1,1}_\omega(a,b)$ using a generalized measure of noncompactness [PDF]
Nonlinear Analysis, 2022 In this paper, we deal with the existence of solutions for a coupled system of integral equations in the Cartesian product of weighted Sobolev spaces E = Wω1,1 (a,b) x Wω1,1 (a,b).
Taqi A.M. Shatnawi +3 more
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Existence of Solutions for a System of Integral Equations Using a Generalization of Darbo’s Fixed Point Theorem [PDF]
Mathematics, 2020 In this paper, an extension of Darbo’s fixed point theorem via θ -F-contractions in a Banach space has been presented. Measure of noncompactness approach is the main tool in the presentation of our proofs.
Babak Mohammadi +4 more
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Solvability of integral equations via the technique of measures of noncompactness [PDF]
Miskolc Mathematical NotesMotivated by the work of [Mohammadi et al., Mathematics, 2019, 7, 575.], we extend here Darbo’s fixed point theorem in a Banach space using the combined technique of Wardowski-Mizoguchi-Takahashi contraction.
Babak Mohammadi +2 more
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Some generalizations of Darbo's fixed point theorem under weak topology features with application to a Volterra-type integral equation [PDF]
Applied General TopologyIn this paper, we provide some generalizations of Darbo's fixed point theorem for larger classes of contraction. Our results are investigated under the weak topology of a Banach space using the measure of weak noncompactness. The results presented in the
Mohamed Khazou, Abdelmjid Khchine
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Existence of solutions for some classes of integro-differential equations via measure of noncompactness [PDF]
, 2015 In this present paper, we introduce a new measure of noncompactness on the space consisting of all real functions which are $n$ times bounded and continuously differentiable on $\mathbb{R}_+$.
Allahyari, Reza +2 more
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