AUXILIARY PRINCIPLE TECHNIQUE AND ALGORITHM ASPECT FOR MIXED EQUILIBRIUM PROBLEMS

Authors

  • SUHEL AHMAD KHAN Department of Mathematics BITS Pilani, Dubai Campus, Dubai-345055, UAE
  • FARHAT SUHEL Department of Mathematics and Statistics DDU Gorakhpur University, Gorakhpur-273009, India
  • S. K. SRIVASTAVA Department of Mathematics and Statistics DDU Gorakhpur University, Gorakhpur-273009, India

Keywords:

Mixed equilibrium problems, nonexpansive mappings, mixed monotone mapping, regularized operator

Abstract

In this paper, we consider a mixed equilibrium problem in real Hilbert space. By using the auxiliary principle technique, some new iterative algorithms for solving mixed equilibrium problem are suggested and analyzed. Further, we prove that the sequences generated by iterative algorithm converge weakly to a solution of mixed equilibrium problem.

Author Biographies

SUHEL AHMAD KHAN, Department of Mathematics BITS Pilani, Dubai Campus, Dubai-345055, UAE

Asst. Prof.

FARHAT SUHEL, Department of Mathematics and Statistics DDU Gorakhpur University, Gorakhpur-273009, India

Research Associate

S. K. SRIVASTAVA, Department of Mathematics and Statistics DDU Gorakhpur University, Gorakhpur-273009, India

Associate Prof

Additional Files

Published

09/08/2014

Issue

Vol. 5 No. 2 (2014): JNAO

Section

Research Articles

License

Copyright (c) 2024 Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO)

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Copyright (c) 2010 Journal of Nonlinear Analysis and Optimization: Theory & Applications

Creative Commons License

This work is licensed under aย Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.