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Taiwanese Journal of Mathematics, ISSN 1027-5487, 6/2011, Volume 15, Issue 3, pp. 961 - 980
Our purpose in this paper is first to prove a weak convergence theorem by Mann's iteration for positively homogeneous nonexpansive mappings in a Banach space... 
Banach space | Mathematical theorems | Perceptron convergence procedure | Hybrid method | Mann's iteration | Nonexpansive mapping | Generalized nonexpansive mapping | Fixed point | MAXIMAL MONOTONE-OPERATORS | ACCRETIVE-OPERATORS | MATHEMATICS | NONLINEAR OPERATORS | RESOLVENTS | FAMILIES | VISCOSITY APPROXIMATION METHODS | FIXED-POINTS
Journal Article
Nonlinear Analysis, ISSN 0362-546X, 2009, Volume 70, Issue 4, pp. 1797 - 1802
Under the assumption that E is a reflexive Banach space whose norm is uniformly Gêteaux differentiable and which has a weakly continuous duality mapping J φ... 
Non-expansive mappings | Weakly continuous duality mapping | MATHEMATICS | NONLINEAR OPERATORS | SEMIGROUPS | MATHEMATICS, APPLIED | SEQUENCES | BANACH-SPACES | ACCRETIVE-OPERATORS | FIXED-POINTS
Journal Article
Fixed Point Theory and Applications, ISSN 1687-1820, 12/2009, Volume 2010, Issue 1, pp. 1 - 17
We give some fixed point results for pseudocontractive mappings on nonbounded domains which allow us to obtain generalizations of recent fixed point theorems of Penot, Isac, and Németh... 
Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | MATHEMATICS | EQUATIONS | ACCRETIVE-OPERATORS | THEOREM | ZEROS | Fixed point theory | Research | Mappings (Mathematics) | Studies | Mathematical models | Banach spaces
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 2010, Volume 59, Issue 4, pp. 1473 - 1483
In this paper, we introduce a new modified Ishikawa iterative process for computing fixed points of an infinite family nonexpansive mapping in the framework of Banach spaces... 
Strong convergence | Infinite family | Banach space | Nonexpansive mapping | Fixed point | HILBERT-SPACES | MATHEMATICS, APPLIED | SEQUENCES | ALGORITHM | ACCRETIVE-OPERATORS | FAMILY | FIXED-POINT THEOREMS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | VISCOSITY APPROXIMATION METHODS | PROJECTIONS
Journal Article
Journal of Nonlinear and Convex Analysis, ISSN 1345-4773, 01/2014, Volume 15, Issue 3, pp. 557 - 572
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 08/1998, Volume 224, Issue 1, pp. 91 - 101
Journal Article
Journal of Inequalities and Applications, ISSN 1025-5834, 12/2013, Volume 2013, Issue 1, pp. 1 - 12
We introduce an iterative process which converges strongly to a common minimum-norm point of solutions of a finite family of monotone mappings in Banach spaces... 
resolvent mappings | Analysis | accretive mappings | Mathematics, general | Mathematics | Applications of Mathematics | maximal monotone mappings | proximal point algorithm | Accretive mappings | Proximal point algorithm | Resolvent mappings | Maximal monotone mappings | proximal point | MATHEMATICS | MATHEMATICS, APPLIED | algorithm
Journal Article
Journal of Inequalities and Applications, ISSN 1025-5834, 12/2006, Volume 2006, Issue 1, pp. 1 - 12
Based on the notion of -accretive mappings and the resolvent operators associated with -accretive mappings due to Lan et al... 
Mathematics, general | Mathematics | Applications of Mathematics | Analysis | SYSTEM | MATHEMATICS | MATHEMATICS, APPLIED | H-ACCRETIVE OPERATORS | RESOLVENT OPERATOR TECHNIQUE | ALGORITHM
Journal Article
Journal of applied mathematics, ISSN 1110-757X, 4/2013, Volume 2013, pp. 1 - 5
Journal Article
Annals of Functional Analysis, ISSN 2008-8752, 2011, Volume 2, Issue 2, pp. 10 - 21
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 2008, Volume 245, Issue 4, pp. 994 - 1013
Let X be a Banach space whose dual space X ∗ is uniformly convex. We demonstrate that, for any demicontinuous, weakly Nagumo, k-pseudo-contractive mapping T : D ( T ) ⊆ X... 
Weakly inward | Pseudo-contractive | Accretive | Partial differential equations | Initial value problem | Demicontinuous | Nagumo condition | Semigroup | Fixed point | DIFFERENTIAL EQUATIONS | accretive | weakly inward | initial value problem | pseudo-contractive | nagumo condition | MATHEMATICS | demicontinuous | fixed point | BANACH-SPACES | semigroup | CONVERGENCE | partial differential equations
Journal Article
Journal of applied mathematics, ISSN 1110-757X, 3/2012, Volume 2012, pp. 1 - 13
...→C an infinite family of nonexpansive mappings with the nonempty set of common fixed points ⋂k=1∞Fix (Tk), and f:C→C a contraction... 
MATHEMATICS, APPLIED | ACCRETIVE-OPERATORS | STRONG-CONVERGENCE THEOREMS | VISCOSITY APPROXIMATION METHODS | SCHEMES | Studies | Hilbert space | Banach spaces | Inequality | Fixed points (mathematics) | Algorithms | Computation | Inequalities | Tin | Mathematical models | Iterative algorithms | Mapping | Banach space
Journal Article
Abstract and applied analysis, ISSN 1085-3375, 2012, Volume 2012, pp. 1 - 14
.... If T be a continuous asymptotically pseudocontractive self-mapping of a nonempty bounded closed convex subset K of a real reflexive Banach space with a uniformly Gateaux differentiable norm... 
APPROXIMATION METHODS | MATHEMATICS, APPLIED | BANACH-SPACES | THEOREMS | ACCRETIVE-OPERATORS | FIXED-POINTS | STRONG-CONVERGENCE | Studies | Banach spaces | Information management | Methods | Inequality | Viscosity | Asymptotic properties | Inequalities | Norms | Mapping | Gateaux | Banach space | Zinc
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 2007, Volume 206, Issue 2, pp. 814 - 825
The purpose of this paper is to study the iterative methods for constructing fixed points of nonself-mappings in Banach spaces... 
Nonself-mapping | Iterative method | Fixed-point problem | Retraction | MATHEMATICS, APPLIED | retraction | THEOREMS | fixed-point problem | ACCRETIVE-OPERATORS | EXTENSION | iterative method | ASYMPTOTICALLY NONEXPANSIVE-MAPPINGS | nonself-mapping
Journal Article
Fixed Point Theory and Applications, ISSN 1687-1820, 12/2011, Volume 2010, Issue 1, pp. 1 - 9
Journal Article
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