- 期刊
- OpenAccess
A Common Solution of Equilibrium, Constrained Convex Minimization and Fixed Point Problems
摘要
In this paper, we propose a new iterative scheme with the help of the gradient-projection algorithm (GPA) for finding a common solution of an equilibrium problem, a constrained convex minimization problem, and a fixed point problem. Then, we prove some strong convergence theorems which improve and extend some recent results. Moreover, we give a numerical result to show the validity of our main theorem.
延伸閱讀
- Lin, Y. C., Cheng, P. J., & Lee, S. L. (2012). The Convergent Behavior for Parametric Generalized Vector Equilibrium Problems. Journal of Applied Mathematics, 2012(), 1188-1199-078. https://doi.org/10.1155/2012/183040
- Fung, M. K. (2013). Quantum Theory of Some Two-dimensional Oscillator Problems in Complex Coordinates. Chinese Journal of Physics, 51(4), 639-645. https://doi.org/10.6122/CJP.51.639
- VASILIEVA, O. (2004). MAXIMUM PRINCIPLE AND ITS EXTENSION FOR BOUNDED CONTROL PROBLEMS WITH BOUNDARY CONDITIONS. International Journal of Mathematics and Mathematical Sciences, 2004(), 1855-1879-136. https://doi.org/10.1155/S0161171204308033
- Du, W. S., Karapinar, E., Lin, L. J., Lee, G. M., & Tanaka, T. (2013). New Contribution to the Advancement of Fixed Point Theory, Equilibrium Problems, and Optimization Problems. Journal of Applied Mathematics, 2013(), 950-950-795. https://doi.org/10.1155/2013/895439
- Bao, Z. K., Huang, M., & Xia, X. Q. (2014). A Predictor-Corrector Method for Solving Equilibrium Problems. Abstract and Applied Analysis, 2014(), 77-87-410. https://doi.org/10.1155/2014/313217