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Numerical Functional Analysis and Optimization Volume 36, 2015 - Issue 1
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Original Articles

An Application of Darbo Fixed-Point Theorem to a Class of Functional Integral Equations

Ümit Çakan Fen Edebiyat Fakültesi, Matematik Bölümü, Nevşehir Hacı Bektaş Veli Üniversitesi, Nevşehir, TurkeyCorrespondence[email protected]
&
İsmet Özdemir Eğitim Fakültesi, İnönü Üniversitesi, Malatya, Turkey
Pages 29-40 | Received 10 Dec 2013, Accepted 01 Aug 2014, Published online: 01 Oct 2014

Citations (8)

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Read on this site (2)

Reza Arab, Mohammad Mursaleen & Syed M. H. Rizvi. (2019) Positive Solution of a Quadratic Integral Equation Using Generalization of Darbo’s Fixed Point Theorem. Numerical Functional Analysis and Optimization 40:10, pages 1150-1168.
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Ümit Çakan & İsmet Özdemir. (2017) Applications of Measure of Noncompactness and Darbo’s Fixed Point Theorem to Nonlinear Integral Equations in Banach Spaces. Numerical Functional Analysis and Optimization 38:5, pages 641-673.
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Articles from other publishers (6)

Chen Yang. (2022) Existence and Uniqueness of Solutions for a Third-Order Three-Point Boundary Value Problem via Measure of Noncompactness. Journal of Mathematics 2022, pages 1-8.
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Amar Deep, Ashish Kumar, Syed Abbas & Bipan Hazarika. (2022) An existence result for functional integral equations via Petryshyn’s fixed point theorem. Journal of Integral Equations and Applications 34:2.
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M. Kazemi & A.R. Yaghoobnia. (2022) Application of fixed point theorem to solvability of functional stochastic integral equations. Applied Mathematics and Computation 417, pages 126759.
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Ümit Çakan. (2019) A Result on Solvability of Some Fractional Integro-differential Equations in Abstract Spaces. Bulletin of the Iranian Mathematical Society 46:4, pages 987-1001.
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Mausumi Sen, Dipankar Saha & R.P. Agarwal. (2019) A Darbo fixed point theory approach towards the existence of a functional integral equation in a Banach algebra. Applied Mathematics and Computation 358, pages 111-118.
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Neda Khodabakhshi & S. Mansour Vaezpour. 2017. Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness. Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness 333 373 .

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