[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5666/KMJ.2019.59.1.83

Weak and Strong Convergence of Hybrid Subgradient Method for Pseudomonotone Equilibrium Problems and Nonspreading-Type Mappings in Hilbert Spaces

Sriprad, Wanna (Department of Mathematics and Computer Scicence, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi)
Srisawat, Somnuk (Department of Mathematics and Computer Scicence, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi)

Publication Information

Kyungpook Mathematical Journal / v.59, no.1, 2019 , pp. 83-99 More about this Journal

Abstract

In this paper, we introduce a hybrid subgradient method for finding an element common to both the solution set of a class of pseudomonotone equilibrium problems, and the set of fixed points of a finite family of ${\kappa}$ -strictly presudononspreading mappings in a real Hilbert space. We establish some weak and strong convergence theorems of the sequences generated by our iterative method under some suitable conditions. These convergence theorems are investigated without the Lipschitz condition for bifunctions. Our results complement many known recent results in the literature.

Keywords

pseudomonotone equilibrium problem; ${\kappa}$ -strictly presudonon-spreading mapping; nonspreading mapping; hybrid subgradient method; fixed point;

Citations & Related Records

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