Synchronal and cyclic algorithms for fixed point problems and variational inequality problems in Banach spaces
Abba Auwalu, Lawan Bulama Mohammed, Afis Saliu · Fixed Point Theory and Applications · 2013
In this paper, we study synchronal and cyclic algorithms for finding a common fixed point x * of a finite family of strictly pseudocontractive mappings, which solve the variational inequalitywhere f is a contraction mapping, G is an η-strongly accretive and L-Lipschitzian operator, N ≥ 1 is a positive integer, γ , μ > 0 are arbitrary fixed constants, and {T i } N i=1 are N-strict pseudocontractions.Furthermore, we prove strong convergence theorems of such iterative algorithms in a real q-uniformly smooth Banach space.The results presented extend, generalize and improve the corresponding results recently announced by many authors.