Research Article

Two Nonmonotonic Self-Adaptive Strongly Convergent Projection-Type Methods for Solving Pseudomonotone Variational Inequalities

Algorithm 2

Nonmonotonic explicit viscosity-type subgradient extragradient method.
Step 0: take and select a nonnegative sequence of real number such that . Moreover, meet the following criteria:
  
Step 1: evaluate
  
If , then STOP. Otherwise, go to Step 2.
Step 2: evaluate
  
and compute
  
Step 3: evaluate
  
Step 4: evaluate
Set and go back to Step 1.