Research Article

Convergence Analysis of New Construction Explicit Methods for Solving Equilibrium Programming and Fixed Point Problems

Algorithm 2

STEP 0: Choose , with a sequence such that
           
Moreover, choose a non-negative real sequence such that and such that such that
           
STEP 1: Compute
           where
STEP 2: Given the current iterates Firstly choose satisfying and generate a half-space
           
Compute
           
STEP 3: Compute
    
STEP 4: If then complete the computation. Otherwise, set and go back STEP 1.