A PROJECTION SUBGRADIENT ALGORITHM FOR FINDING A COMMON SOLUTION OF EQUILIBRIUM AND FIXED POINT PROBLEMS

Authors

  • Tran Van Thang Electric Power University

DOI:

https://doi.org/10.51453/2354-1431/2023/1033

Keywords:

Equilibrium problems, Lipschitz continuous, pseudomonotone, projection method, subgradient method, fixed point problem

Abstract

In this paper, we design a new projection subgradient algorithm for finding a common solution of equilibrium and fixed point problems in a real Hilbert space. The proposed algorithm is a combination of the projection method, subgradient method and Man iterative technique. The convergent theorem is established under mild conditions.

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References

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[4] Khoa, N.M., Thang, T.V., (2022), textit{Approximate projection algorithms for solving equilibrium and multivalued variational inequality problems in Hilbert space}, Bull. Korean Math. Soc. textbf{59}, 1019-1044

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[6] Maing'e, P.E., (2010), textit{Projected subgradient techniques and viscosity methods for optimization with variational inequality constraints}, European J. Oper. Res. {bf 205}, 501-506

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[8] Rehman, H.U., Kumam, P., Cho, Y.J., Suleiman, Y.I., Kumam, W., (2021), textit{ Modified Popov's explicit iterative algorithms for solving pseudomonotone equilibrium problems}, Optim. Methods Softw. {bf 36}, 82-113.

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Published

2023-12-19

How to Cite

Tran Van, T. (2023). A PROJECTION SUBGRADIENT ALGORITHM FOR FINDING A COMMON SOLUTION OF EQUILIBRIUM AND FIXED POINT PROBLEMS. SCIENTIFIC JOURNAL OF TAN TRAO UNIVERSITY, 9(5). https://doi.org/10.51453/2354-1431/2023/1033

Issue

Vol. 9 No. 5 (2023): Scientific Education

Section

Natural Science and Technology

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