Generalized mixed equilibrium problems and quasi-φ-asymptotically nonexpansive multivalued mappings in Banach spaces
Ali, B., Umar, L., Harbau, M. (2019). Generalized mixed equilibrium problems and quasi-φ-asymptotically nonexpansive multivalued mappings in Banach spaces. EKB Journal Management System, 27(1), 1-16. doi: 10.1186/s42787-019-0046-5
Bashir Ali; Lawal Umar; M. H. Harbau. "Generalized mixed equilibrium problems and quasi-φ-asymptotically nonexpansive multivalued mappings in Banach spaces". EKB Journal Management System, 27, 1, 2019, 1-16. doi: 10.1186/s42787-019-0046-5
Ali, B., Umar, L., Harbau, M. (2019). 'Generalized mixed equilibrium problems and quasi-φ-asymptotically nonexpansive multivalued mappings in Banach spaces', EKB Journal Management System, 27(1), pp. 1-16. doi: 10.1186/s42787-019-0046-5
Ali, B., Umar, L., Harbau, M. Generalized mixed equilibrium problems and quasi-φ-asymptotically nonexpansive multivalued mappings in Banach spaces. EKB Journal Management System, 2019; 27(1): 1-16. doi: 10.1186/s42787-019-0046-5

Generalized mixed equilibrium problems and quasi-φ-asymptotically nonexpansive multivalued mappings in Banach spaces

Journal of the Egyptian Mathematical Society
Volume 27, Issue 1, 2019, Pages 1-16    PDF (467.34 K)
DOI: 10.1186/s42787-019-0046-5
Authors
Bashir Ali; Lawal Umar; M. H. Harbau
Department of Mathematical Sciences, Bayero University, Kano, Nigeria
Abstract
In this paper, we introduce two iterative algorithms for finding a common element of
the set of fixed points of a quasi-φ-asymptotically nonexpansive multivalued mapping
and the sets of solutions of generalized mixed equilibrium problem in Banach space.
Then, we prove strong and weak convergence of the sequences to element in the
mentioned set. Our results generalize and improve recent results announced by many
authors.

Keywords
Fixed point; Generalized mixed equilibrium problem; Quasi- -asymptotically nonexpansive multivalued mappings; Banach space
Statistics
Article View: 38
PDF Download: 15