Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 86
Fixed point results in M.F.S. endowed with a digraph using ρ-a.e.-Opial property.
Jaauad Jeddi, Mustapha Kabil, Samih Lazaiz
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 04, 2022
March 03, 2082
April 15, 2082

Abstract: In this communication we first give a fixed point result for ρ-contraction, G-monotone multivalued mappings in modular function space, and under some assumptions on the digraph we establish the existence of an approximate fixed point sequence for ρ-nonexpansive, G-monotone multivalued mappings, which generalize all results obtained in [5]. As a corollary we get an existence of fixed point result for ρ-nonexpansive, G-monotone multivalued mappings when the values are ρ-compact or ρ-a.e. compact.