An algorithm for computing zeros of generalized phi-strongly monotone and bounded maps in classical Banach spaces. (2nd April 2016)

• Record Type: Journal Article
• Authors: Chidume, C.E.; Chidume, C.O.; Bello, A.U.
• Is Part Of: Optimization. Volume 65:Number 4(2016)
• Page Start: 827
• Page End: 839
• Publication Date: 2016-04-02
• Subjects: monotone mappings -- generalized -strongly monotone mappings -- strong convergence; 47H04 -- 47H06 -- 47H15 -- 47H17 -- 47J25; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2015.1074686
• Languages: English
• ISSNs: 0233-1934

Abstract

Abstract : Let, , and be a generalized -strongly monotone and bounded map with . An iterative process is constructed and proved to converge strongly to the unique solution of the equation . In the special case in which is the subdifferential of a proper convex function, a solution of corresponds to a minimizer of . Furthermore, our technique of proof is of independent interest.