Results 1 to 10 of about 460 (72)

Viscosity Approximation for Split Equality Generalized Mixed Equilibrium Problems With Semigroups of Nonexpansive Mappings

Abstract and Applied Analysis
MSC2010 Classification: Primary 47H10, 47H09, 47J05, 47J25 ...
Prashant Patel, Rahul Shukla
doaj   +2 more sources

Extended Forward-Backward Algorithm

, 2013
We propose an extended forward-backward algorithm for approximating a zero of a maximal monotone operator which can be split as the extended sum of two maximal monotone operators.
Lassonde, Marc, Nagesseur, Ludovic
core   +3 more sources

Solving an abstract nonlinear eigenvalue problem by the inverse iteration method

, 2017
Let $\left( X,\left\Vert \cdot\right\Vert_{X}\right) $ and $\left( Y,\left\Vert \cdot\right\Vert_{Y}\right) $ be Banach spaces over $\mathbb{R},$ with $X$ uniformly convex and compactly embedded into $Y.$ The inverse iteration method is applied to solve ...
Ercole, Grey
core   +1 more source

Parallel methods for regularizing systems of equations involving accretive operators

, 2014
In this paper, two parallel methods for solving systems of accretive operator equations in Banach spaces are studied. The convergence analysis of the methods in both free-noise and noisy data cases is provided.Comment: 24 ...
Anh, Pham Ky, Buong, Nguyen, Van Hieu, Dang   +2 more
core   +1 more source

Approximating Fixed Points of Nonself Contractive Type Mappings in Banach Spaces Endowed with a Graph

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
Let K be a non-empty closed subset of a Banach space X endowed with a graph G. We obtain fixed point theorems for nonself G-contractions of Chatterjea type.
Balog Laszlo, Berinde Vasile, Păcurar Mădălina   +2 more
doaj   +1 more source

On moving averages [PDF]

, 2012
We show that the moving arithmetic average is closely connected to a Gauss-Seidel type fixed point method studied by Bauschke, Wang and Wylie, and which was observed to converge only numerically.
Bauschke, Heinz H., Sarada, Joshua, Wang, Xianfu   +2 more
core  

Convergence analysis of a proximal Gauss-Newton method

, 2011
An extension of the Gauss-Newton algorithm is proposed to find local minimizers of penalized nonlinear least squares problems, under generalized Lipschitz assumptions.
Salzo, Saverio, Villa, Silvia
core   +2 more sources

Regularization proximal point algorithm for finding a common fixed point of a finite family of nonexpansive mappings in Banach spaces

Fixed Point Theory and Applications, 2011
We study the strong convergence of a regularization proximal point algorithm for finding a common fixed point of a finite family of nonexpansive mappings in a uniformly convex and uniformly smooth Banach space.
Tuyen Truong, Kim Jong
doaj  

Another weak convergence theorems for accretive mappings in banach spaces

Fixed Point Theory and Applications, 2011
We present two weak convergence theorems for inverse strongly accretive mappings in Banach spaces, which are supplements to the recent result of Aoyama et al. [Fixed Point Theory Appl. (2006), Art. ID 35390, 13pp.]. 2000 MSC: 47H10; 47J25.
Saejung Satit, Wongchan Kanokwan, Yotkaew Pongsakorn   +2 more
doaj  

On split common null point and common fixed point problems for multivalued demicontractive mappings

Demonstratio Mathematica
In this paper, we study a new inertial algorithm for finding a common solution of the split common null point problem for two infinite families of maximal monotone operators and common fixed point problem for an infinite family of multivalued ...
Wang Yaqin, Zhang Yuanqin
doaj   +1 more source