Monotone projection algorithms for various nonlinear problems in Hilbert spaces

Volume 9, Issue 3, pp 957--966 http://dx.doi.org/10.22436/jnsa.009.03.24

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Authors

B. A. Bin Dehaish - Department of mathematics, Faculty of Science, AL Faisaliah Campus, King Abdulaziz University, Jeddah, Saudi Arabia. H. O. Bakodah - Department of mathematics, Faculty of Science, AL Faisaliah Campus, King Abdulaziz University, Jeddah,, Saudi Arabia. A. Latif - Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia. X. Qin - Department of Mathematics, Wuhan University of Technology, Wuhan, China. - Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia.

Abstract

In this paper, a monotone projection algorithm is investigated for solving common solutions of a fixed point problem of an asymptotically strict pseudocontraction, an equilibrium problem and a zero problem of the sum of two monotone mappings. Strong convergence theorems are established in the framework of real Hilbert spaces.

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Keywords

• Hilbert space
• equilibrium problem
• variational inequality
• nonexpansive mapping
• fixed point.

MSC

•  65J15
•  90C30

References

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