Hussain, Manzoor; Ul-Haq, Wasim An iterative method for implicit general Wiener-Hopf equations and nonexpansive mappings. (English) Zbl 1353.47105 J. Appl. Funct. Anal. 10, No. 3-4, 225-233 (2015). 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 Keywords:variational inequality problem; Wiener-Hopf equations; non-expansive mapping; pseudo-contractive mapping PDFBibTeX XMLCite \textit{M. Hussain} and \textit{W. Ul-Haq}, J. Appl. Funct. Anal. 10, No. 3--4, 225--233 (2015; Zbl 1353.47105)