Convergence Theorems for k-Strictly Pseudononspreading Multivalued in Hilbert Spaces

Hongbo Liu, Yi Li

School of Science, Southwest University of Science and Technology, Mianyang, China.

DOI: 10.4236/apm.2014.47042                

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.

Keywords

Equilibrium Problem, K-Strictly Pseudononspreading Multivalued Mapping, Common Fixed Point

Conflicts of Interest

The authors declare no conflicts of interest.

References

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