Application of H(·, ·)-Cocoercive Operators for Solving a System of Variational Inclusions

Rais Ahmad, Mohd Dilshad

Abstract


In this paper, we apply H(・, ・)-cocoercive operators for solving a system of variational inclusions. By using the resolvent operator technique associated with H(・, ・)-cocoercive operators, we define an iterative algorithm for solving a system of variational inclusions. Convergence criteria is also discussed. Some examples are given in support the definition of H(・, ・)-cocoercive operators.

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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|