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Common fixed points of monotone ρ-nonexpansive semigroup in modular spaces

Article scientifique 2020 Anglais

Résumé

Abstract In this paper, we consider the class of monotone ρ-nonexpansive semigroups and give existence and convergence results for common fixed points. First, we prove that the set of common fixed points is nonempty in uniformly convex modular spaces and modular spaces. Then we introduce an iteration algorithm to approximate a common fixed point for the same class of semigroups.

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Harmouchi, N., Chaira, K., Marhrani, E. (2020). Common fixed points of monotone ρ-nonexpansive semigroup in modular spaces. https://doi.org/10.1186/s13663-020-00684-y

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Nour-eddine El Harmouchi Karim Chaira El Miloudi Marhrani

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