* Correspondence: ooly61@yahoo. co.kr; [email protected] Department of Mathematics, Gyeongsang National University, Jinju 660-701, Republic of Korea Department of Mathematics and RINS, Gyeongsang National University, Jinju 660-701, Republic of Korea Full list of author information is available at the end of the article Abstract In this article, strong convergence of Krasnoselski-Mann iterative s...

In this paper, we study the convergence and almost sure (S, T)−stability of Jungck-Noor type, Jungck-SP type, Jungck-Ishikawa type and Jungck-Mann type random iterative algorithms for some kind of a general contractive type random operators (2.14) in a separable Banach spaces. The Bochner integrability of random fixed point of this kind of random operators, the convergence and almost sure (S, T...

In this paper, Φ-pseudo-contractive operators and Φ-accretive operators, more general than the strongly pseudo-contractive operators and strongly accretive operators, are introduced. By setting up a new inequality, authors proved that if → : T X X is a uniformly continuous Φ-pseudo-contractive operator then T has unique fixed point q and the Mann iterative sequence with random errors approximat...

We introduce a concept of weak Bregman relatively nonexpansive mapping which is distinct from Bregman relatively nonexpansive mapping. By using projection techniques, we construct several modification of Mann type iterative algorithms with errors and Halpern-type iterative algorithms with errors to find fixed points of weak Bregman relatively nonexpansive mappings and Bregman relatively nonexpa...

Consider the linear system Ax=b where the coefficient matrix A is an M-matrix. In the present work, it is proved that the rate of convergence of the Gauss-Seidel method is faster than the mixed-type splitting and AOR (SOR) iterative methods for solving M-matrix linear systems. Furthermore, we improve the rate of convergence of the mixed-type splitting iterative method by applying a preconditio...

In real Hilbert spaces, let the CFPP indicate a common fixed-point problem of asymptotically nonexpansive operator and countably many operators, suppose that HVI VIP represent hierarchical variational inequality problem, respectively. We put forward Mann hybrid deepest-descent extragradient approach for solving with constraints. The proposed algorithms are on basis Mann’s iterative technique, v...