We introduce an iterative process which converges strongly to a common fixed point of a finite family of uniformly continuous asymptotically k i -strict pseudocontractive mappings in the intermediate sense for i = 1, 2, . . . , N. The projection of x 0 onto the intersection of closed convex sets C n and Q n for each n ≥ 1 is not required. Moreover, the restriction that the interior of common fi...

The purpose of this paper is to propose an algorithm for solving the split common fixed point problems for total asymptotically strictly pseudocontractive mappings in infinite-dimensional Hilbert spaces. The results presented in the paper improve and extend some recent results of Moudafi 2011 and 2010 , Xu 2010 and 2006 , Censor and Segal 2009 , Censor et al. 2005 , Masad and Reich 2007 , Censo...

In this paper, we introduce iterative algorithms for finding a common element of the set of fixed points for an asymptotically strict pseudocontractive mappings in the intermediate sense, the set of solutions of the variational inequalities for a family of α-inverse-strongly monotone mappings and the set of solutions of a system of equilibrium problems in a Hilbert space. We establish some weak...

In this article, we introduce a hybrid iteration involving inertial-term for split equilibrium problem and fixed point finite family of asymptotically strictly pseudocontractive mappings. We prove that the sequence converges strongly to solution common The results proved extend improve recent Chang et al. [S. S. Chang, H. W. J. Lee, C. K. Chan, L. Wang, Qin, Appl. Math. Comput., \(\bf 219\) (20...

Abstract In a real Hilbert space, let the VIP, GSVI, HVI, and CFPP denote variational inequality problem, general system of inequalities, hierarchical inequality, common fixed-point problem countable family uniformly Lipschitzian pseudocontractive mappings an asymptotically nonexpansive mapping, respectively. We design two Mann implicit composite subgradient extragradient algorithms with line-s...