MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
AN INERTIAL BREGMAN HYBRID ALGORITHM FOR APPROXIMATING SOLUTIONS OF FIXED POINT AND VARIATIONAL INEQUALITY PROBLEM IN REAL BANACH SPACES
B. Ali, A. M. Hamza, M. H. Harbau

Abstract

In this work, we study an inertial extragradient-like S-iteration process for approximating a common element of the set of solutions of some variational inequality problem involving a monotone Lipschitz map and a fixed point of asymptotically nonexpansive mapping in a reflexive Banach space. The result in this paper is an extension and generalization of some recently announced results.

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Keywords: Strong convergence; fixed point problem; variational inequality; Bregman quasi nonexpansive mappings.

MSC: 47H09, 47H10, 47J25

Pages:  174--188     

Volume  74 ,  Issue  3 ,  2022