An iterative algorithm for solving split equilibrium problems and split equality variational inclusions for a class of nonexpansive-type maps. (2nd November 2018)

• Record Type: Journal Article
• Authors: Chidume, C. E.; Romanus, O. M.; Nnyaba, U. V.
• Is Part Of: Optimization. Volume 67:Number 11(2018)
• Page Start: 1949
• Page End: 1962
• Publication Date: 2018-11-02
• Subjects: Quasi-φ-nonexpansive maps -- strong convergence -- split equality fixed point problem; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2018.1503270
• Languages: English
• ISSNs: 0233-1934

Abstract

ABSTRACT: In this paper, an iterative algorithm that approximates solutions of split equality fixed point problems (SEFPP) for quasi- φ -nonexpansive maps is constructed. Strong convergence of the sequence generated by this algorithm is established in certain real Banach spaces without imposing any compactness-type condition on either the operators or the space considered. We applied our theorem to solve split equality problem, split equality variational inclusion problem and split equality equilibrium problem . Furthermore, some numerical example is given to demonstrate the implementability of our algorithm. Finally, our theorems improve and complement a host of important recent results.