Convergence of generic infinite products of affine operators.
Convergence of implicit iterates with errors for mappings with unbounded domain in Banach spaces.
Convergence of inexact iterative schemes for nonexpansive set-valued mappings.
Convergence of Ishikawa iterates for a multi-valued mapping with a fixed point
Existence of fixed points of multivalued mappings that satisfy a certain contractive condition was proved by N. Mizoguchi and W. Takahashi. An alternative proof of this theorem was given by Peter Z. Daffer and H. Kaneko. In the present paper, we give a simple proof of that theorem. Also, we define Mann and Ishikawa iterates for a multivalued map with a fixed point and prove that these iterates converge to a fixed point of under certain conditions. This fixed point may be different from...
Convergence of Ishikawa iterates of generalized nonexpansive mappings.
Convergence of iterates of asymptotically nonexpansive mappings in Banach spaces with the uniform Opial property
Convergence of iterative algorithms to common random fixed points of random operators.
Convergence of iterative sequences for common zero points of a family of -accretive mappings in Banach spaces.
Convergence of iterative sequences for fixed point and variational inclusion problems.
Convergence of Monotone Operators.
Convergence of paths for perturbed maximal monotone mappings in Hilbert spaces.
Convergence of the Ishikawa iterate for multi-valued mappings in metric spaces of hyperbolic type
Convergence of three-step iterations scheme for nonself asymptotically nonexpansive mappings.
Convergence of two-step iterative scheme with errors for two asymptotically nonexpansive mappings.
Convergence on composite iterative schemes for nonexpansive mappings in Banach spaces.
Convergence Results for Jungck-type Iterative Processes in Convex Metric Spaces
In this paper, the convergence results of [V. Berinde; A convergence theorem for Mann iteration in the class of Zamfirescu operators, Analele Universitatii de Vest, Timisoara, Seria Matematica-Informatica 45 (1) (2007), 33–41], [V. Berinde; On the convergence of Mann iteration for a class of quasi-contractive operators, Preprint, North University of Baia Mare (2003)] and [V. Berinde; On the Convergence of the Ishikawa Iteration in the Class of Quasi-contractive Operators, Acta Math. Univ. Comenianae...
Convergence results of iterative algorithms for the sum of two monotone operators in reflexive Banach spaces
The aim of this paper is to propose two modified forward-backward splitting algorithms for zeros of the sum of a maximal monotone operator and a Bregman inverse strongly monotone operator in reflexive Banach spaces. We prove weak and strong convergence theorems of the generated sequences by the proposed methods under some suitable conditions. We apply our results to study the variational inequality problem and the equilibrium problem. Finally, a numerical example is given to illustrate the proposed...
Convergence theorem based on a new hybrid projection method for finding a common solution of generalized equilibrium and variational inequality problems in Banach spaces.
Convergence theorem for equilibrium problems and fixed point problems of infinite family of nonexpansive mappings.
Convergence theorems and stability results for Lipschitz strongly pseudocontractive operators.