Hamza El Bazi, Abdellatif Sadrati
Abstract:
This work concerns the existence of a fixed point for mixed monotone nearly
asymptotically nonexpansive mappings. We extend and generalize some well-known
results concerning nearly asymptotically nonexpansive mappings in a uniformly
convex hyperbolic metric space. As application of our results, we study the
existence of solutions for an integral equation.
Submitted April 6, 2022. Published September 26, 2022.
Math Subject Classifications: 47H05, 47H09, 47H10, 45G10.
Key Words: Fixed point theorem; hyperbolic metric space; integral equation
mixed monotone operator; monotone nearly asymptotically nonexpansive operator.
DOI: https://doi.org/10.58997/ejde.2022.66
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Hamza El Bazi MSISI Laboratory, AM2CSI Group Department of Mathematics, FST, Erracidia University Moulay Ismail of Meknes, BP 509 Boutalamine, 52000, Errachidia, Morocco email: hamza.elbazi.uae@gmail.com |
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Abdellatif Sadrati MSISI Laboratory, AM2CSI Group Department of Mathematics, FST, Erracidia University Moulay Ismail of Meknes, BP 509 Boutalamine, 52000, Errachidia, Morocco email: abdo2sadrati@gmail.com |
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