Fixed point theorems for monotone mappings in ordered Banach spaces under weak topology features

• Autorzy: Alahmari Abdullah , Mabrouk Mohamed , Taoudi Mohamed-Aziz

Identyfikatory

DOI

10.7862/rf.2019.1

• Języki publikacji: EN

Abstrakty

EN

We present several fixed point theorems for monotone nonlinear operators in ordered Banach spaces. The main assumptions of our results are formulated in terms of the weak topology. As an application, we study the existence of solutions to a class of first-order vectorvalued ordinary differential equations. Our conclusions generalize many well-known results.

Słowa kluczowe

EN

fixed point theorem; order cone; increasing operator; decreasing operator; weakly condensing; measure of weak noncompactness

PL

twierdzenie o punkcie stałym; stożek; operator; miara słabej niezgodności

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2019
• Tom: Vol. 42
• Strony: 5--19
• Opis fizyczny: Bibliogr. 35 poz.

Twórcy

autor

Alahmari Abdullah

• Department of Mathematics, College of Applied Sciences, P.O. Box 715, Makkah 21955 KSA

autor

Mabrouk Mohamed

• Department of Mathematics, College of Applied Sciences, P.O. Box 715, Makkah 21955 KSA
• Department of Mathematics, Faculty of Sciences of Gabès, University of Gabès, Cité Erriadh, 6072 Zrig, Gabès, TUNISIA

autor

Taoudi Mohamed-Aziz

• National School of Applied Sciences, Cadi Ayyad University, Marrakech, MOROCCO

Bibliografia

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).