A new modified block iterative algorithm for uniformly quasi-ϕ-asymptotically nonexpansive mappings and a system of generalized mixed equilibrium problems
Copyright policy )A new modified block iterative algorithm for uniformly quasi-ϕ-asymptotically nonexpansive mappings and a system of generalized mixed equilibrium problems
AbstractIn this paper, we introduce a new modified block iterative algorithm for finding a common element of the set of common fixed points of an infinite family of closed and uniformly quasi-ϕ-asymptotically nonexpansive mappings, the set of the variational inequality for an α-inverse-strongly monotone operator, and the set of solutions of a system of generalized mixed equilibrium problems. We obtain a strong convergence theorem for the sequences generated by this process in a 2-uniformly convex and uniformly smooth Banach space. Our results extend and improve ones from several earlier works.2000 MSC: 47H05; 47H09; 47H10.
Iterative procedures involving nonlinear operators, Applied Mathematics, uniformly quasi-\(\varphi\)-asymptotically nonexpansive mapping, Geometry and Topology, a system of generalized mixed equilibrium problem, modified block iterative algorithm, variational inequality, Monotone operators and generalizations, inverse-strongly monotone operator
Iterative procedures involving nonlinear operators, Applied Mathematics, uniformly quasi-\(\varphi\)-asymptotically nonexpansive mapping, Geometry and Topology, a system of generalized mixed equilibrium problem, modified block iterative algorithm, variational inequality, Monotone operators and generalizations, inverse-strongly monotone operator
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