Relaxed iterative algorithms for a system of generalized mixed equilibrium problems and a countable family of totally quasi-Phi-asymptotically nonexpansive multi-valued maps, with applications
Copyright policy )Relaxed iterative algorithms for a system of generalized mixed equilibrium problems and a countable family of totally quasi-Phi-asymptotically nonexpansive multi-valued maps, with applications
AbstractIn this article, a Krasnoselskii-type and a Halpern-type algorithm for approximating a common fixed point of a countable family of totally quasi-ϕ-asymptotically nonexpansive nonself multi-valued maps and a solution of a system of generalized mixed equilibrium problem are constructed. Strong convergence of the sequences generated by these algorithms is proved in uniformly smooth and strictly convex real Banach spaces with the Kadec-Klee property. Several applications of our theorems are also presented. Finally, our theorems are a significant improvement of several important recent results.
T57-57.97, QA299.6-433, Applied mathematics. Quantitative methods, generalized mixed equilibrium problems, equally continuous maps, totally quasi-\(\phi\)-asymptotically nonexpansive nonself multi-valued maps, strong convergence, Iterative procedures involving nonlinear operators, totally quasi-ϕ-asymptotically nonexpansive nonself multi-valued maps, Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc., Set-valued operators, Analysis
T57-57.97, QA299.6-433, Applied mathematics. Quantitative methods, generalized mixed equilibrium problems, equally continuous maps, totally quasi-\(\phi\)-asymptotically nonexpansive nonself multi-valued maps, strong convergence, Iterative procedures involving nonlinear operators, totally quasi-ϕ-asymptotically nonexpansive nonself multi-valued maps, Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc., Set-valued operators, Analysis
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