Strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi-ϕ-nonexpansive mappings
By Jong Kyu Kim. 2011
95 citations recorded by the source corpus.
We consider a hybrid projection method for finding a common element in the fixed point set of an asymptotically quasi-ϕ-nonexpansive mapping and in the solution set of an equilibrium problem. Strong convergence theorems of common elements are established in a uniformly smooth and strictly convex Banach space which has the Kadec-Klee property.2000 Mathematics subject classification: 47H05, 47H09, 47H10, 47J25
Subfields: Computational Theory and Mathematics, Geometry and Topology, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/a32e2de83de1fe44026a652dec36e6553f11959a
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Theory and Mathematics
In Geometry and Topology
In Numerical Analysis
Citations in the corpus
- Generalized mixed equilibrium and fixed point problems in a Banach space (2016, background): “Recently, the above nonlinear problems have been extensively studied based on iterative techniques; see [3], [6]-[10], [14]–[17], [19], [22]-[26] and the references therein.”