Approximation of Common Fixed Points of a Sequence of Nearly Nonexpansive Mappings and Solutions of Variational Inequality Problems

Abstract EN

We introduce an explicit iterative scheme for computing a common fixed point of a sequence of nearly nonexpansive mappings defined on a closed convex subset of a real Hilbert space which is also a solution of a variational inequality problem.

We prove a strong convergence theorem for a sequence generated by the considered iterative scheme under suitable conditions.

Our strong convergence theorem extends and improves several corresponding results in the context of nearly nonexpansive mappings.