New inertial viscosity Tseng’s extragradient method with self-adaptive step size in nding Common solution to variational inequality problem

लेखक

  • E Akaligwo Department of Mathematics, Federal University, Lokoja, Kogi State, Nigeria
  • M. Osilike Department of Mathematics, University of Nigeria, Nsukka, Nigeria
  • G. Akuchu

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variational inequality##common.commaListSeparator## monotone operator##common.commaListSeparator## inertial terms##common.commaListSeparator## weak convergence##common.commaListSeparator## hilbert space

सार

In this article, we study and propose new inertial viscosity Tseng’s extragradient algorithm with self-adaptive step size in nding common solution to Variational Inequality Problem or VIP for short in Hilbert space. Our proposed method involves a projection onto a halfspace and using selfadaptive step size for approximating the minimum-norm of the VIP. Then, we apply our results
in nding a common solution of VIP for an innite family of monotone and Lipschitz continuous operators. Furthermore, our results extend and generalize some existing results in the literature. 

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प्रकाशित

2023-10-05

##submission.howToCite##

Akaligwo, E. ., Osilike, M., & Akuchu, G. . (2023). New inertial viscosity Tseng’s extragradient method with self-adaptive step size in nding Common solution to variational inequality problem. International Journal of Mathematical Analysis and Modelling, 6(1). Retrieved from https://tnsmb.org/journal/index.php/ijmam/article/view/79

अंक

खंड 6 No. 1 (2023): Volume 6, Issue 1

खंड

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