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An iterative method for implicit general Wiener-Hopf equations and nonexpansive mappings. (English) Zbl 1353.47105

Summary: We suggest a new iterative method for finding the common element of the set of common fixed points of a finite family of psuedo-contractive mappings and set of solutions of extended general quasi-variational inequality problem on the basis of Wiener-Hopf equations. The convergence criteria of this new method under some mild restrictions is also studied. New and known methods for solving various classes of Wiener-Hopf equations and variational inequalities also appear as a special consequences of our work.

MSC:

47J25 Iterative procedures involving nonlinear operators
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
49J40 Variational inequalities
91B50 General equilibrium theory
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