Computation of solution of integral equations via fixed point results

• Autorzy: Alqudah Manar A. , Garodia Chanchal , Uddin Izhar , Nieto Juan J.

Identyfikatory

DOI

10.1515/dema-2022-0172

• Języki publikacji: EN

Abstrakty

EN

The motive of this article is to study a modified iteration scheme for monotone nonexpansive mappings in the class of uniformly convex Banach space and establish some convergence results. We obtain weak and strong convergence results. In addition, we present a nontrivial numerical example to show the convergence of our iteration scheme. To demonstrate the utility of our scheme, we discuss the solution of nonlinear integral equations as an application, which is again supported by a nontrivial example.

Słowa kluczowe

EN

monotone nonexpansive mappings; fixed point; iteration process; strong convergence; weak convergence; nonlinear integral equation

PL

odwzorowania; rzutowanie monotoniczne; punkt stały; proces iteracji; silna zbieżność; słaba zbieżność; nieliniowe równania całkowe

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2022
• Tom: Vol. 55, nr 1
• Strony: 772--785
• Opis fizyczny: Bibliogr. 36 poz., rys., tab., wykr.

Twórcy

autor

Alqudah Manar A.

• Department of Mathematical Sciences, Faculty of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia

autor

Garodia Chanchal

• Department of Mathematics, Jamia Millia Islamia, New Delhi-110025, India

autor

Uddin Izhar

• Department of Mathematics, Jamia Millia Islamia, New Delhi-110025, India

autor

Nieto Juan J.

• CITMAga, Departamento de Estatística, Análise Matemática e Optimización, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).