Generalized -D-gap functions and error bounds for a class of equilibrium problems. Issue 14 (26th October 2017)

• Record Type: Journal Article
• Authors: Ceng, Lu-Chuan; Sahu, D. R.; Wen, Ching-Feng; Wong, Ngai-Ching
• Is Part Of: Applicable analysis. Volume 96:Issue 14(2017)
• Page Start: 2367
• Page End: 2389
• Publication Date: 2017-10-26
• Subjects: Generalized -D-gap function -- equilibrium problem -- -strongly monotone -- -strongly convex -- error bound -- monotone operator -- projection operator; 49J30 -- 49J40 -- 47J25 -- 47H09; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2017.1336547
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract: In this paper, we introduce and study the generalized - D -gap function for an equilibrium problem. We give sufficient conditions under which a critical point of the generalized - D -gap function is a solution of the equilibrium problem, and develop a descent scheme for locating these critical points. Using the generalized - D -gap function, we construct an error bound for the equilibrium problem. We support our approach with concrete examples.