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Displaying 101 – 120 of 153

An Extension of the Auxiliary Problem Principle to Nonsymmetric Auxiliary Operators

A. Renaud, G. Cohen (2010)

ESAIM: Control, Optimisation and Calculus of Variations

To find a zero of a maximal monotone operator, an extension of the Auxiliary Problem Principle to nonsymmetric auxiliary operators is proposed. The main convergence result supposes a relationship between the main operator and the nonsymmetric component of the auxiliary operator. When applied to the particular case of convex-concave functions, this result implies the convergence of the parallel version of the Arrow-Hurwicz algorithm under the assumptions of Lipschitz and partial Dunn properties...

An extragradient approximation method for equilibrium problems and fixed point problems of a countable family of nonexpansive mappings.

Wangkeeree, Rabian (2008)

Fixed Point Theory and Applications [electronic only]

An extragradient approximation method for variational inequality problem on fixed point problem of nonexpensive mappings and monotone mappings

Alongkot Suvarnamani, Mongkol Tatong (2012)

Archivum Mathematicum

We introduce an iterative sequence for finding the common element of the set of fixed points of a nonexpansive mapping and the solutions of the variational inequality problem for tree inverse-strongly monotone mappings. Under suitable conditions, some strong convergence theorems for approximating a common element of the above two sets are obtained. Moreover, using the above theorem, we also apply to finding solutions of a general system of variational inequality and a zero of a maximal monotone...

An extragradient method and proximal point algorithm for inverse strongly monotone operators and maximal monotone operators in Banach spaces.

Plubtieng, Somyot, Sriprad, Wanna (2009)

Fixed Point Theory and Applications [electronic only]

An extragradient method for fixed point problems and variational inequality problems.

Yao, Yonghong, Liou, Yeong-Cheng, Yao, Jen-Chih (2007)

Journal of Inequalities and Applications [electronic only]

An extragradient method for mixed equilibrium problems and fixed point problems.

Yao, Yonghong, Liou, Yeong-Cheng, Wu, Yuh-Jenn (2009)

Fixed Point Theory and Applications [electronic only]

An implicit extragradient method for hierarchical variational inequalities.

Yao, Yonghong, Liou, Yeong Cheng (2011)

Fixed Point Theory and Applications [electronic only]

An implicit iteration method for variational inequalities over the set of common fixed points for a finite family of nonexpansive mappings in Hilbert spaces.

Buong, Nguyen, Anh, Nguyen Thi Quynh (2011)

Fixed Point Theory and Applications [electronic only]

An implicit iterative scheme for an infinite countable family of asymptotically nonexpansive mappings in Banach spaces.

Wang, Shenghua, Yu, Lanxiang, Guo, Baohua (2008)

Fixed Point Theory and Applications [electronic only]

An improved convergence analysis of Newton's method for twice Fréchet differentiable operators

Ioannis K. Argyros, Sanjay K. Khattri (2013)

Applicationes Mathematicae

We develop local and semilocal convergence results for Newton's method in order to solve nonlinear equations in a Banach space setting. The results compare favorably to earlier ones utilizing Lipschitz conditions on the second Fréchet derivative of the operators involved. Numerical examples where our new convergence conditions are satisfied but earlier convergence conditions are not satisfied are also reported.

We obtain necessary conditions for convergence of the Cauchy Picard sequence of iterations for Tricomi mappings defined on a uniformly convex linear complete metric space.

Currently displaying 101 – 120 of 153

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Displaying 101 – 120 of 153

An Extension of the Auxiliary Problem Principle to Nonsymmetric Auxiliary Operators

An extragradient approximation method for equilibrium problems and fixed point problems of a countable family of nonexpansive mappings.

An extragradient approximation method for variational inequality problem on fixed point problem of nonexpensive mappings and monotone mappings

An extragradient method and proximal point algorithm for inverse strongly monotone operators and maximal monotone operators in Banach spaces.

An extragradient method for fixed point problems and variational inequality problems.

An extragradient method for mixed equilibrium problems and fixed point problems.

An implicit extragradient method for hierarchical variational inequalities.

An implicit iteration method for variational inequalities over the set of common fixed points for a finite family of nonexpansive mappings in Hilbert spaces.

An implicit iterative scheme for an infinite countable family of asymptotically nonexpansive mappings in Banach spaces.

An improved convergence analysis of Newton's method for twice Fréchet differentiable operators

An inverse function theorem for Frechet spaces

An iteration for finding a common random fixed point.

An iteration method for nonexpansive mappings in Hilbert spaces.

An iteration process for nonlinear mappings in uniformly convex linear metric spaces

An iterative algorithm for mixed equilibrium problems and variational inclusions approach to variational inequalities.

An iterative algorithm for two asymptotically pseudocontractive mappings.

An iterative algorithm of solution for quadratic minimization problem in Hilbert spaces.

An iterative approximation method for a countable family of nonexpansive mappings in Hilbert spaces.

An iterative method for an infinite family of nonexpansive mappings in Hilbert spaces.

An iterative method for computing zeros of operators satisfying autonomous differential equations.

Currently displaying 101 – 120 of 153