A Random Evolution Inclusion of Subdifferential Type in Hilbert Spaces [PDF]
In this paper we study a nonlinear evolution inclusion of subdifferential type in Hilbert spaces. The perturbation term is Hausdorff continuous in the state variable and has closed but not necessarily convex values.
Kravvaritis, D., Pantelidis, G.
core
Convergence comparison and stability of Jungck-Kirk-type algorithms for common fixed point problems
The aim of this article is to introduce new hybrid iterative schemes, namely Jungck-Kirk-SP and Jungck-Kirk-CR iterative schemes, and prove convergence and stability results for these iterative schemes using certain quasi-contractive operators. Numerical
Abdullah Alotaibi +2 more
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A correction for a result on convergence of Ishikawa iteration for strongly pseudocontractive maps [PDF]
We give a correction to the main result from [13]
Ş. M. Şolutuz
core
Mann iteration for generalized pseudocontractive maps in Hilbert spaces [PDF]
If X is a real Hilbert space, B is a nonempty, bounded, convex and closed subset, T:B→ B is a generalized pseudocontraction; then the iteration begin{eqnarray} x_{1} &in &B, \ x_{n+1} &=&(1-alpha _{n})x_{n}+alpha _{n}Tx_{n}, nonumber \ (alpha _{n})_{n} &
Ş. M. Şoltuz
core
A modified Mann iteration for zero points of accretive operators
A modified Mann iteration with computational errors is investigated. A strong convergence theorem for zero points of an m-accretive operator is established in a Banach space.MSC:47H06, 47H09, 47J25, 65J15.
Jianmin Song, Minjiang Chen
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Convergence of Ishikawa iterative sequence for strongly pseudocontractive operators in arbitrary Banach spaces [PDF]
Under the condition of removing the restriction any bounded, we give the convergence of the Ishikawa iteration process to a unique fixed point of a strongly pseudocontractive operator in arbitrary real Banach space.
Shuyi Zhang
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Stability of Mann and Ishikawa iterative processes with errors for a class of nonlinear variational inclusions [PDF]
Under the lack of the condition , some new convergence and stability theorems of Mann and Ishikawa iterative processes with errors for solutions to variational inclusions involving accretive mappings in real reflexive Banach spaces are established.
F. Gu, J. Lu
core
Convergence and stability of Jungck-type iterative procedures in convex b-metric spaces
The purpose of this paper is to investigate some strong convergence as well as stability results of some iterative procedures for a special class of mappings.
A. Razani, M. Bagherboum
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Quantum dynamical semigroups for diffusion models with Hartree interaction
We consider a class of evolution equations in Lindblad form, which model the dynamics of dissipative quantum mechanical systems with mean-field interaction. Particularly, this class includes the so-called Quantum Fokker-Planck-Poisson model.
A. Arnold +31 more
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Metrical common fixed point theorems without completeness and closedness
In this article, we point out that some recent results proved in Babu and Alemayehu are corollaries of the main result of an article due to Ali and Imdad.
D. Gopal, M. Imdad, M. Abbas
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