By virtue of the step size (1.11), López et al. [11] introduced four kinds of algorithms for solving SFP (1.1).
The fixed point theory plays an important role in developing various kinds of algorithms for solving variational inequalities.
Recently, many authors introduced some kinds of algorithms for solving the variational inequality problems, but, in fact, our two schemes are more simple for finding solutions of the variational inequality (B) than others.
Khaliq et al. (2008) had given a kind of difference method for solving the 2D B-S equation [5]; the method needs to use the penalty function approach.
The Landweber iteration method [39], proposed by Landweber, Friedman and Bialy, is a kind of iterative algorithm for solving the operator equation (Kx=y).
Information of this kind creates a basis for solving various fundamental and applied problems of tectonics, mineral exploration, and engineering geology.
Namely, Cauchy, Liouville, Lipschitz, Peano, Fredholm, Picard, Banach, Browder, Helpern, Mann, Ishikawa, etc., have given different kinds of iterative methods for solving fixed point problems.
The recent advance in the development of various kinds of meshless methods for solving partial differential equations has drawn attention of many researchers in science and engineering.
The HL-RF algorithm of the first order reliability method (FORM) is a kind of popular iterative algorithm for solving the reliability index in structural reliability analysis and reliability-based design optimization.
It is one kind of non-integrated strategy for solving the scheduling problem.
