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ЖУРНАЛЫ // Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica // Архив

Bul. Acad. Ştiinţe Repub. Mold. Mat., 2022, номер 3, страницы 15–21 (Mi basm577)

A fixed point theorem for $p$-contraction mappings in partially ordered metric spaces and application to ordinary differential equations

Ahmed Chaouki Aouine

Mohamed-Cherif Messaadia University Souk Ahras, 41000, Algeria

Аннотация: In this paper, we prove a fixed point theorem for $p$-contraction mappings in partially ordered metric spaces. As an application, we investigate the possibility of optimally controlling the solution of the ordinary differential equations.

Ключевые слова и фразы: fixed point, $p$-contraction type maps, partially ordered metric spaces, ordinary differential equation.

MSC: 47H10, 54H25

Поступила в редакцию: 15.04.2022

Язык публикации: английский

DOI: 10.56415/basm.y2022.i3.p15



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