Keyword: Banach space

Found 53 papers in total
A posteriori error control of hp-finite elements for variational inequalities of the first and second kind
A posteriori error control of hp-finite elements for variational inequalities of the first and second kind
2015,
In this paper, residual‐based a posteriori error estimates for variational...
Strong convergence theorems for a countable family of quasi-φ-asymptotically nonexpansive nonself mappings
Strong convergence theorems for a countable family of quasi-φ-asymptotically nonexpansive nonself mappings
2012,
The purpose of this article is to introduce a class of quasi ‐ φ ‐...
On exponential stability for linear discrete-time systems in Banach spaces
On exponential stability for linear discrete-time systems in Banach spaces
2012,
In this paper we investigate four concepts of exponential stability for difference...
Convergence of hybrid steepest descent method for variational inequalities in Banach spaces
Convergence of hybrid steepest descent method for variational inequalities in Banach spaces
2011,
Let E be a q ‐uniformly smooth real Banach space with constant d q , q >1....
A system of generalized variational inclusions involving generalized H(·,·)-accretive mapping in real q-uniformly smooth Banach spaces
A system of generalized variational inclusions involving generalized H(·,·)-accretive mapping in real q-uniformly smooth Banach spaces
2011,
In this paper, we consider a class of accretive mappings called generalized H...
Expanding the Applicability of High-Order Traub-Type Iterative Procedures
Expanding the Applicability of High-Order Traub-Type Iterative Procedures
2014,
We propose a collection of hybrid methods combining Newton’s method with frozen...
Estimating upper bounds on the limit points of majorizing sequences for Newton’s method
Estimating upper bounds on the limit points of majorizing sequences for Newton’s method
2013,
We present new sufficient conditions for the semilocal convergence of Newton’s...
Recurrence relations for semilocal convergence of a fifth‐order method in Banach spaces
Recurrence relations for semilocal convergence of a fifth‐order method in Banach spaces
2012,
In this paper, we study the semilocal convergence for a fifth‐order method for...
Semilocal convergence of a sixth‐order method in Banach spaces
Semilocal convergence of a sixth‐order method in Banach spaces
2012,
In this paper, we introduce a new iterative method of order six and study the...
Hadamard well‐posedness of a general mixed variational inequality in Banach space
Hadamard well‐posedness of a general mixed variational inequality in Banach space
2013,
In this paper, we first introduce the concept of Hadamard well‐posedness of a...
A generalized f‐projection method for countable families of weak relatively nonexpansive mappings and the system of generalized Ky Fan inequalities
A generalized f‐projection method for countable families of weak relatively nonexpansive mappings and the system of generalized Ky Fan inequalities
2013,
The purpose of this paper is to present new hybrid Ishikawa iteration process by the...
Strong convergence theorems for approximating common fixed points of families of nonexpansive mappings and applications
Strong convergence theorems for approximating common fixed points of families of nonexpansive mappings and applications
2013,
An implicit algorithm for finding common fixed points of an uncountable family of...
Filippov–Pliss lemma and m‐dissipative differential inclusions
Filippov–Pliss lemma and m‐dissipative differential inclusions
2013,
In the paper we prove a variant of the well known Filippov–Pliss lemma for...
Convergence Analysis of the Gauss–Newton‐Type Method for Lipschitz‐Like Mappings
Convergence Analysis of the Gauss–Newton‐Type Method for Lipschitz‐Like Mappings
2013,
We introduce in the present paper a Gauss–Newton‐type method for solving...
Best proximity points of non‐self mappings
Best proximity points of non‐self mappings
2013,
Let A , B be nonempty subsets of a Banach space X and let T : A → B be a...
Two block hybrid projection method for solving a common solution for a system of generalized equilibrium problems and fixed point problems for two countable families
Two block hybrid projection method for solving a common solution for a system of generalized equilibrium problems and fixed point problems for two countable families
2013,
In this paper, we introduce a new iterative sequence which is constructed by using the...
Multiple critical points for non‐differentiable parametrized functionals and applications to differential inclusions
Multiple critical points for non‐differentiable parametrized functionals and applications to differential inclusions
2013,
In this paper we deal with a class of non‐differentiable functionals defined on...
The general iterative scheme for semigroups of nonexpansive mappings and variational inequalities with applications
The general iterative scheme for semigroups of nonexpansive mappings and variational inequalities with applications
2013,
In this paper, we introduce the implicit and explicit viscosity iteration schemes for...
Newton–Kantorovich Convergence Theorem of a Modified Newton’s Method Under the Gamma‐Condition in a Banach Space
Newton–Kantorovich Convergence Theorem of a Modified Newton’s Method Under the Gamma‐Condition in a Banach Space
2013,
A Newton–Kantorovich convergence theorem of a modified Newton’s method...
An iterative algorithm for a general system of variational inequalities and fixed point problems in q‐uniformly smooth Banach spaces
An iterative algorithm for a general system of variational inequalities and fixed point problems in q‐uniformly smooth Banach spaces
2013,
In this paper, we introduce a new iterative algorithm for finding a common element of...
Preserving maximal monotonicity with applications in sum and composition rules
Preserving maximal monotonicity with applications in sum and composition rules
2013,
In this paper, we study maximal monotonicity preserving mappings on the Banach space X...
A modification of the classic conditions of Newton–Kantorovich for Newton’s method
A modification of the classic conditions of Newton–Kantorovich for Newton’s method
2013,
We study the semilocal convergence of Newton’s method in Banach spaces under a...
Existence and uniqueness of mild solution for an impulsive neutral fractional integro‐differential equation with infinite delay
Existence and uniqueness of mild solution for an impulsive neutral fractional integro‐differential equation with infinite delay
2013,
This paper is concerned with the existence, uniqueness and continuous dependence of...
Preconditioned iterative regularization in Banach spaces
Preconditioned iterative regularization in Banach spaces
2013,
Regularization methods for inverse problems formulated in Hilbert spaces usually give...
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