Split common fixed point and null point problems for demicontractive operators in Hilbert spaces. (4th March 2019)

• Record Type: Journal Article
• Authors: Jailoka, Pachara; Suantai, Suthep
• Is Part Of: Optimization methods and software. Volume 34:Number 2(2019)
• Page Start: 248
• Page End: 263
• Publication Date: 2019-03-04
• Subjects: split common fixed point problems -- split null point problems -- demicontractive operators -- maximal monotone operators -- resolvent operators -- strong convergence; 47H05 -- 47H09 -- 47J25; Mathematical optimization -- Periodicals; Algorithms -- Periodicals; 519.7
• DOI: 10.1080/10556788.2017.1359265
• Languages: English
• ISSNs: 1055-6788

Abstract

Abstract : In this article, we consider a split common fixed point and null point problem which includes the split common fixed point problem, the split common null problem and other problems related to the fixed point problem and the null point problem. We introduce an algorithm for studying the split common fixed point and null problem for demicontractive operators and maximal monotone operators in real Hilbert spaces. We establish a strong convergence result under some suitable conditions and reduce our main result to above-mentioned problems. Moreover, we also apply our main results to the split equilibrium problem. Finally, we give numerical results to demonstrate the convergence of our algorithms.