Strong convergence by the shrinking effect of two half-spaces and applications

Fixexd point theory and applications

Muhammad Aqeel Ahmad Khan¹  Hafiz Fukhar-ud-din² 

[1] Department of Mathematics, Technische Universitat Darmstadt, Darmstadt, Germany;Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, Pakistan

关键词: nonexpansive map;    strict pseudo-contraction;    shrinking projection method;    CQ-method;    equilibrium problem;    δ-inverse strongly monotone map;   

DOI  :  10.1186/1687-1812-2013-30

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper provides a new hybrid-type shrinking projection method for strong convergence results in a Hilbert space. The paper continues - by utilizing the proposed hybrid algorithm - with a strong convergence towards an approximate common element of the set of solutions of a finite family of generalized equilibrium problems and the set of common fixed points of two finite families of k-strict pseudo-contractions in a Hilbert space. Comparatively, our results improve and extend various results announced in the current literature. MSC:47H05, 47H09, 49H05.

【 授权许可】

CC BY