A Forward-Backward Projection Algorithm for Approximating of the Zero of the ‎S‎um of ‎T‎wo Operators

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Abstract:

‎I‎n this paper‎, ‎a‎ forward-‎b‎ackward projection algorithm is considered for finding zero points of the sum of two operators‎ ‎in Hilbert spaces‎. ‎The sequence generated by algorithm converges strongly to the zero point of the sum of an $alpha$-inverse strongly‎ ‎monotone operator and a maximal monotone operator‎. ‎We apply the result for solving the variational inequality problem, fixed point problem, and equilibrium problem.

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Journal title

volume 6  issue 1

pages  0- 0

publication date 2020-07

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