Strong convergence by the shrinking effect of two half-spaces and applications
Muhammad Aqeel Ahmad Khan, Hafiz Fukhar-ud-din · Fixed Point Theory and Applications · 2013
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.