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A strong convergence result involving an inertial forward–backward algorithm for monotone inclusions

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Our interest in this paper is to prove a strong convergence result for finding a zero of the sum of two monotone operators, with one of the two operators being… Click to show full abstract

Our interest in this paper is to prove a strong convergence result for finding a zero of the sum of two monotone operators, with one of the two operators being co-coercive using an iterative method which is a combination of Nesterov’s acceleration scheme and Haugazeau’s algorithm in real Hilbert spaces. Our numerical results show that the proposed algorithm converges faster than the un-accelerated Haugazeau’s algorithm.

Keywords: result involving; monotone; strong convergence; convergence result

Journal Title: Journal of Fixed Point Theory and Applications
Year Published: 2017

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