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In recent years, several numerical methods including projection and its variant forms, resolvent equations, and auxiliary principle techniques have been developed.
These methods include the projection method and its novel forms, approximation techniques, Newton's methods and the methods derived from the auxiliary principle techniques.
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The technique is called the auxiliary principle technique.
This fact has motivated us to use the auxiliary principle technique for solving the equilibrium problems.
The auxiliary principle technique was first introduced by Glowinski et al. [11].
To overcome this drawback, one usually uses the auxiliary principle technique.
They suggested and analyzed some projection type iterative algorithms by using the prox-regular technique and auxiliary principle technique.
By using the auxiliary principle technique, we suggest and analyze some predictor-corrector methods for solving GMELP.
It is well known that the auxiliary principle technique plays an efficient and important role in variational inequality theory.
By utilizing the auxiliary principle technique, some new predictor-corrector iterative algorithms for solving them are suggested and analyzed.
Further, the auxiliary principle technique is used to suggest a novel and innovative iterative algorithm for computing the approximate solution.
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