Results 31 to 40 of about 171 (62)

Mann iteration for generalized pseudocontractive maps in Hilbert spaces [PDF]

, 2001
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  

Ishikawa iterative process for strongly pseudocontractive operators in arbitrary Banach spaces [PDF]

, 2003
In this note we give a correction to the main result of Zhou in [14] on the convergence of the Ishikawa iteration process to a unique fixed point of a strongly pseudocontractive operator in arbitrary real Banach spaces.
J. S. Ume, Lj. Ćirić
core  

A Random Evolution Inclusion of Subdifferential Type in Hilbert Spaces [PDF]

, 1996
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  

A nonlocal 1-Laplacian problem and median values [PDF]

, 2016
In this paper, we study solutions to a nonlocal 1-Laplacian equation. We introduce two notions of solution and prove that the weaker of the two concepts is equivalent to a nonlocal median value property, where the median is determined by a measure ...
Mazón, José M., Pérez-Llanos, Mayte, Rossy, Julio D., Toledo, Julián   +3 more
core   +1 more source

Stability of Mann and Ishikawa iterative processes with errors for a class of nonlinear variational inclusions [PDF]

, 2004
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  

A correction for a result on convergence of Ishikawa iteration for strongly pseudocontractive maps [PDF]

, 2002
We give a correction to the main result from [13]
Ş. M. Şolutuz
core  

Convergence of Ishikawa iterative sequence for strongly pseudocontractive operators in arbitrary Banach spaces [PDF]

, 2010
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
core   +1 more source

A golden ratio technique for equilibrium problem in reflexive Banach spaces

Demonstratio Mathematica
In this article, we present a self-adaptive subgradient extragradient method for approximating solutions of equilibrium problems with pseudomonotone and Lipschitz type bifunctions in the context of reflexive Banach spaces.
Abass Hammed A., Adamu Abubakar, Oyewole Olawale K., Aphane Maggie   +3 more
doaj   +1 more source

Continuous selections of solution sets to Volterra integral inclusions in Banach spaces [PDF]

, 2006
We consider a nonlinear Volterra integral equation governed by an m-accretive operator and a multivalued perturbation in a separable Banach. The existence of a continuous selection for the corresponding solution map is proved.
Aizicovici, S., Staicu, Vasile
core   +1 more source

Regularity of set-valued maps and their selections through set differences. Part 2: One-sided Lipschitz properties [PDF]

, 2013
We introduce one-sided Lipschitz (OSL) conditions of setvalued maps with respect to given set differences. The existence of selections of such maps that pass through any point of their graphs and inherit uniformly their OSL constants is studied.
Baier, Robert, Farkhi, Elza
core   +1 more source