... point theorem for mappings which do not increase distances,” The AmericanMathematical Monthly, vol. 72, pp. 1004–1006, 1965.6 Q. Liu, “Convergence theorems of the sequence of iterates for asymptotically ... PC.However when the properties of the mapping Tnand Vnare well known, one canprove convergence theorems like Theorem 3.1 without use of Opial’s lemma.In next theorem our purpose is ... concern the convergence of iterative methodsto a solutions of variational inequality problems or equilibrium problems; see example for, 10, 14–18.Here we prove a strong convergence theorem of the...