Convergence rates for regularization with sparsity constraints.
Convergence rates of ergodic limits for semigroups and cosine functions.
Convergence rates of iterated Tikhonov regularized solutions of nonlinear Ill-posed problems.
Convergence results for a class of abstract continuous descent methods.
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.
Convergence theorems by hybrid projection methods for Lipschitz-continuous monotone mappings and a countable family of nonexpansive mappings
In this paper, we introduce two iterative schemes for finding a common element of the set of a common fixed points of a countable family of nonexpansive mappings and the set of solutions of the variational inequality problem for a monotone, Lipschitz-continuous mapping in a Hilbert space by using the hybrid projection methods in the mathematical programming. Then we prove strong convergence theorems by the hybrid projection methods for a monotone, Lipschitz-continuous mapping and a countable family...
Convergence theorems concerning hybrid methods for strict pseudocontractions and systems of equilibrium problems.
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 a pair of nonexpansive mappings.
Convergence theorems for asymptotically nonexpansive mappings in Banach spaces.
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 generalized projections and maximal monotone operators in Banach spaces.