A Solution of a General Equilibrium Problem

An iterative process of generalized Lipschitizian mappings in uniformly convex Banach spaces

“…If an equation can be put into the form f (x) = x, and a solution x is an attractive fixed point of the function f , then one may begin with a point x 1 in the basin of attraction of x, and let x n+1 = f (x n ) for n = 1, and the sequence {x n } n≥1 will converge to the solution x. Here x n is the n-th approximation or iteration of x and x n+1 is the next or n + 1 iteration of x (see [4,7,[9][10][11][12][13][14][15][16], and reference therein).…”