TITLE:
Convergence Theorems for k-Strictly Pseudononspreading Multivalued in Hilbert Spaces
AUTHORS:
Hongbo Liu, Yi Li
KEYWORDS:
Equilibrium Problem, K-Strictly Pseudononspreading Multivalued Mapping, Common Fixed Point
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.4 No.7,
July
28,
2014
ABSTRACT:
We introduce a k-strictly pseudononspreading
multivalued in Hilbert spaces more general than the class of nonspreading
multivalued. We establish some weak convergence theorems of the sequences
generated by our iterative process. Some new iterative sequences for finding a
common element of the set of solutions for equilibrium problem was introduced.
The results improve and extend the corresponding results of Osilike Isiogugu [1] (Nonlinear Anal.74 (2011)) and others.