Existence and uniqueness of the solution for an integral equation with supremum
AbstractFollowing the idea of T. Wongyat and W. Sintunavarat, we obtain some existence and uniqueness results for the solution of…
Fixed point theory
Stability results and qualitative properties for Mann’s algorithm via admissible perturbations technique
AbstractIn this paper we will present data dependence results for Mann iteration schene related to the fixed point inclusion. The…
On the characterizations of partial metrics and quasimetrics
AbstractWe present the relationship between the notion of partial metric, which has applications in Computer Science, that of quasimetric (which…
Solving inverse problems via hemicontractive maps
AbstractWe prove a “collage” theorem for hemicontractive maps and we use it for inverse problems. A numerical example is given.…
The equivalence between Mann–Ishikawa iterations and multistep iteration
AbstractWe show that the convergence of Mann, Ishikawa iterations are equivalent to the convergence of a multistep iteration, for various…
The Equivalence between T-Stabilities of The Krasnoselskij and The Mann Iterations
Abstract We prove the equivalence between the -stabilities of the Krasnoselskij and the Mann iterations; a consequence is the equivalence…
Data Dependence for Ishikawa Iteration When Dealing with Contractive-Like Operators
Abstract We prove a convergence result and a data dependence for Ishikawa iteration when applied to contraction-like operators. An example…
The equivalence between the T-stabilities of Mann and Ishikawa iterations
Abstract We show that T-stability of Mann and Ishikawa iterations are equivalent. AuthorsB.E. Rhoades S.M. Soltuz (Tiberiu Popoviciu Institute of…
The equivalence between the convergences of Ishikawa and Mann iterations for an asymptotically nonexpansive in the intermediate sense and strongly successively pseudocontractive maps
AbstractThe convergence of modified Mann iteration is equivalent to the convergence of modified Ishikawa iterations, when T is an asymptotically…
The equivalence between the convergences of Ishikawa and Mann iterations for an asymptotically pseudocontractive map
AbstractThe convergence of Mann iteration is equivalent to the convergence of Ishikawa iterations, when T is an asymptotically nonexpansive and asymptotically pseudocontractive…
Publications
Spectral collocation solutions to second order singular Sturm-Liouville eigenproblems
AbstractWe comparatively use some classical spectral collocation methods as well as highly performing Chebfun algorithms in order to compute the eigenpairs of second order singular Sturm-Liouville problems with separated self-adjoint…
Read More Accurate spectral collocation computation of high order eigenvalues for singular Schrödinger equations
AbstractWe are concerned with the study of some classical spectral collocation methods as well as with the new software system Chebfun in computing high order eigenpairs of singular and regular…
Read More Accurate spectral collocation solutions to some Bratu’s type Boundary Value Problems
AbstractWe solve by Chebyshev spectral collocation some genuinely nonlinear Liouville-Bratu-Gelfand type, 1D and a 2D boundary value problems. The problems are formulated on the square domain [−1, 1] × [−1,…
Read More Publication Fields
- (original) (349)
- (preprint) (21)
- (proceedings) (32)
- (survey) (2)
- Announcements (31)
- Approximation Theory (21)
- book chapter (3)
- Books (25)
- Chebyshev method (4)
- Convergence orders (8)
- divided differences (10)
- eigenvalue/eigenvector problems (13)
- finite differences (FD) (4)
- Finite element (FEM) (15)
- Fixed point theory (25)
- global random walk (15)
- history (3)
- inexact/perturbed iterations (11)
- inverse interpolation (11)
- ISI/JCR (148)
- iterative methods (37)
- Krylov methods (6)
- linear systems in Rn (7)
- local convergence (19)
- metals and alloys casting (12)
- Meteorology (5)
- Monte Carlo simulations (4)
- Newton method (22)
- nonlinear equations in Banach spaces (6)
- nonlinear equations in R (11)
- nonlinear systems in Rn (11)
- Numerical Analysis (135)
- Numerical Modeling (100)
- ODEs (4)
- Optimization (4)
- paper (405)
- PDEs (26)
- Schulz type iterations (2)
- secant/chord method (5)
- semilocal convergence (8)
- spectral methods (5)
- Steffenssen methods (7)
- successive approximations (5)
- talk (4)
- Time Series (15)
- Uncategorized (1)