Convergence of iterates of asymptotically nonexpansive mappings in Banach spaces with the uniform Opial property
Convergence of the Ishikawa iterate for multi-valued mappings in metric spaces of hyperbolic type
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 theorems and stability results for Lipschitz strongly pseudocontractive operators.
Convergence theorems for a common fixed point of a finite family of nonself nonexpansive mappings.
Convergence theorems for a family of multivalued nonexpansive mappings in hyperbolic spaces
In this article we modify an iteration process to prove strong convergence and Δ- convergence theorems for a finite family of nonexpansive multivalued mappings in hyperbolic spaces. The results presented here extend some existing results in the literature.
Convergence theorems for a finite family of nonexpansive and asymptotically nonexpansive mappings
In this paper, weak and strong convergence of finite step iteration sequences to a common fixed point for a pair of a finite family of nonexpansive mappings and a finite family of asymptotically nonexpansive mappings in a nonempty closed convex subset of uniformly convex Banach spaces are presented.
Convergence theorems for common fixed points of nonself asymptotically quasi-non-expansive mappings.
Convergence theorems for finite families of asymptotically quasi-nonexpansive mappings.
Convergence theorems for fixed points of demicontinuous pseudocontractive mappings.
Convergence theorems for -nonexpansive mapping.
Convergence theorems for total asymptotically nonexpansive mappings.
Convergence theorems for uniformly quasi-Lipschitzian mappings.
Convergence theorems of the sequence of iterates for a finite family of asymptotically nonexpansive mappings.
Convergence theorems of three-step iterative scheme for a finite family of uniformly quasi-Lipschitzian mappings in convex metric spaces.
Convexity of the set of fixed points generated by some control systems.
Convexly totally bounded and strongly totally bounded sets. Solution of a problem of Idzik
Countable extension of triangular norms and their applications to the fixed point theory in probabilistic metric spaces
Coupled coincidence point and coupled common fixed point theorems in partially ordered metric spaces with -distance.