convergence analysis of self-adaptive inertial extra-gradient method for solving a family of pseudomonotone equilibrium problems with application

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ID: 153981
2020
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Abstract
In this article, we propose a new modified extragradient-like method to solve pseudomonotone equilibrium problems in real Hilbert space with a Lipschitz-type condition on a bifunction. This method uses a variable stepsize formula that is updated at each iteration based on the previous iterations. The advantage of the method is that it operates without prior knowledge of Lipschitz-type constants and any line search method. The weak convergence of the method is established by taking mild conditions on a bifunction. In the context of an application, fixed-point theorems involving strict pseudo-contraction and results for pseudomonotone variational inequalities are considered. Many numerical results have been reported to explain the numerical behavior of the proposed method.
Reference Key
bantaojai2020symmetryconvergence Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Thanatporn Bantaojai;Nuttapol Pakkaranang;Habib ur Rehman;Poom Kumam;Wiyada Kumam
Journal journal of hospitality and tourism management
Year 2020
DOI
10.3390/sym12081332
URL
https://www.mdpi.com/2073-8994/12/8/1332
Keywords
convex optimization

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