Electronic Journal of Differential Equations, Vol. 2022 (2022), No. 66, pp. 1-14.

Title: Fixed point theorem for mixed monotone nearly asymptotically nonexpansive mappings
 and applications to integral equations
       
Authors: Hamza El Bazi (Univ. Moulay Ismail of Meknes, Errachidia, Morocco)
         Abdellatif Sadrati (Univ. Moulay Ismail of Meknes, Errachidia, Morocco)

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.