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Approximating solutions of split equality of some nonlinear optimization problems using an inertial algorithm

Lateef O. JolaosoOluwatosin T. Mewomo — 2020

Commentationes Mathematicae Universitatis Carolinae

This paper presents an inertial iterative algorithm for approximating a common solution of split equalities of generalized mixed equilibrium problem, monotone variational inclusion problem, variational inequality problem and common fixed point problem in real Hilbert spaces. The algorithm is designed in such a way that it does not require prior knowledge of the norms of the bounded linear operators. We prove a strong convergence theorem under some mild conditions of the control sequences and also...

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