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Hybrid iterative scheme for fixed point problem, infinite systems of equilibrium and variational inequality problems
- Source :
-
Computers & Mathematics with Applications . Mar2012, Vol. 63 Issue 6, p1089-1103. 15p. - Publication Year :
- 2012
-
Abstract
- Abstract: The purpose of this paper is to construct a new iterative scheme by the hybrid method and prove a strong convergence theorem for the approximation of a common fixed point of two countable families of weak relatively nonexpansive mappings which is also a common solution to infinite systems of equilibrium and variational inequality problems in a uniformly smooth and strictly convex real Banach space with Kadec–Klee property using the properties of a generalized -projection operator. Using this result, we give some applications. Our results extend many known recent results in the literature. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 08981221
- Volume :
- 63
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Computers & Mathematics with Applications
- Publication Type :
- Academic Journal
- Accession number :
- 72593087
- Full Text :
- https://doi.org/10.1016/j.camwa.2011.12.014