Scientific Research Publishing

Read  full  paper  at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=45298#.VL37pSzQrzE Author(s)    R. Khan * , H. Fukhar-ud-din Affiliation(s) Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia . ABSTRACT We introduce a general iterative method for a finite family of generalized asymptotically quasi- nonexpansive mappings in a hyperbolic space and study its strong convergence. The new iterative method includes multi-step iterative method of Khan et al. [1] as a special case. Our results are new in hyperbolic spaces and generalize many known results in Banach spaces and CAT(0) spaces, simultaneously. KEYWORDS Hyperbolic Space , General Iterative Method , Generalized Asymptotically Quasi-Nonexpansive Mapping , Common Fixed Point , Strong Convergence Cite this paper Khan, A. and Fukhar-ud-din, H. (2014) Common Fixed Point Iterations of Generalized Asymptoticall...

Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=48174#.VEX8UlfHRK0 Author(s)    Hongbo Liu , Yi Li Affiliation(s) School of Science, Southwest University of Science and Technology, Mianyang, China . School of Science, Southwest University of Science and Technology, Mianyang, China . 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...