Existence of solutions of infinite systems of integral equations in the Frechet spaces

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Allahyari Reza; Arab Reza; Shole Haghighi Ali

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Journal: INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS Year:2016 | Volume:7 | Issue:2 Page(s): 205-216

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Title

Existence of solutions of infinite systems of integral equations in the Frechet spaces

Author(s)

Allahyari Reza | Arab Reza | Shole Haghighi Ali | Issue Writer Certificate

Keywords

Measure of noncompactness

Fr

echet space

Tychono

xed point theorem

nite systems of equations

Abstract

In this paper we apply the technique of measures of noncompactness to the theory of in; nite system of integral equations in the Fr; echet spaces. Our aim is to provide a few generalization of Tychono; ; xed point theorem and prove the existence of solutions for in; nite systems of nonlinear integral equations with help of the technique of measures of noncompactness and a generalization of Tychono; ; xed point theorem. Also, we present an example of nonlinear integral equations to show the e ciency of our results. Our results extend several comparable results obtained in the previous literature.

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APA: Copy

Allahyari, Reza, Arab, Reza, & Shole Haghighi, Ali. (2016). Existence of solutions of infinite systems of integral equations in the Frechet spaces. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 7(2), 205-216. SID. https://sid.ir/paper/340718/en

Vancouver: Copy

Allahyari Reza, Arab Reza, Shole Haghighi Ali. Existence of solutions of infinite systems of integral equations in the Frechet spaces. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS[Internet]. 2016;7(2):205-216. Available from: https://sid.ir/paper/340718/en

IEEE: Copy

Reza Allahyari, Reza Arab, and Ali Shole Haghighi, “Existence of solutions of infinite systems of integral equations in the Frechet spaces,” INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, vol. 7, no. 2, pp. 205–216, 2016, [Online]. Available: https://sid.ir/paper/340718/en

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