Annales Academiae Scientiarum Fennicae Mathematica, ISSN 1239-629X, 2017, Volume 42, Issue 2, pp. 525 - 534

.... We obtain a positive answer whenever f is continuous and uniformly open. In the smooth case, we deduce a positive answer when f is a C-1-smooth surjection whose set of critical values is countable...

Nonlinear quotient | Density character | Smooth surjective mapping | Surjective restriction | Uniformly open map | MATHEMATICS | uniformly open map | FIBRATIONS | BANACH-SPACES | MANIFOLDS | nonlinear quotient | surjective restriction | density character

Nonlinear quotient | Density character | Smooth surjective mapping | Surjective restriction | Uniformly open map | MATHEMATICS | uniformly open map | FIBRATIONS | BANACH-SPACES | MANIFOLDS | nonlinear quotient | surjective restriction | density character

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 02/2020, Volume 482, Issue 1

In this paper we obtain new characterizations of the uniformly convex and smooth Banach spaces...

Area integrals | Littlewood-Paley | Uniformly convex | Uniformly smooth

Area integrals | Littlewood-Paley | Uniformly convex | Uniformly smooth

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 02/2013, Volume 398, Issue 2, pp. 867 - 871

We prove that if Y is a closed subspace of a Banach space X such that Y and X/Y admit an equivalent asymptotically uniformly smooth norm, then X also admits an equivalent asymptotically uniformly smooth norm...

Three-space property | Asymptotically uniformly smooth norm | Szlenk index | Renorming theory | Geometry of Banach spaces | MATHEMATICS | MATHEMATICS, APPLIED | BANACH-SPACES | WEAK-ASTERISK | Reforming theory

Three-space property | Asymptotically uniformly smooth norm | Szlenk index | Renorming theory | Geometry of Banach spaces | MATHEMATICS | MATHEMATICS, APPLIED | BANACH-SPACES | WEAK-ASTERISK | Reforming theory

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 01/2015, Volume 421, Issue 1, pp. 747 - 753

Let X be a uniformly convex and uniformly smooth Banach space. Assume that the Mi, i=1...

Uniformly convex | Uniformly smooth | Alternating algorithm | MATHEMATICS | MATHEMATICS, APPLIED | Algorithms

Uniformly convex | Uniformly smooth | Alternating algorithm | MATHEMATICS | MATHEMATICS, APPLIED | Algorithms

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 06/2015, Volume 426, Issue 2, pp. 1182 - 1191

Let C be a closed, bounded and convex subset of a uniformly convex and uniformly smooth Banach space. Let {Tt...

Nonexpansive semigroup | Fixed point iteration process | Nonexpansive mapping | Uniformly smooth Banach space | Fixed point | Implicit iterative process | MATHEMATICS | COMMON FIXED-POINTS | MATHEMATICS, APPLIED | MEAN ERGODIC THEOREM | OPERATORS | POINTWISE LIPSCHITZIAN MAPPINGS

Nonexpansive semigroup | Fixed point iteration process | Nonexpansive mapping | Uniformly smooth Banach space | Fixed point | Implicit iterative process | MATHEMATICS | COMMON FIXED-POINTS | MATHEMATICS, APPLIED | MEAN ERGODIC THEOREM | OPERATORS | POINTWISE LIPSCHITZIAN MAPPINGS

Journal Article

Journal of inequalities and applications, ISSN 1029-242X, 2017, Volume 2017, Issue 1, pp. 1 - 12

The aim of this paper is to introduce a viscosity iterative algorithm for the implicit midpoint rule of nonexpansive mappings in uniformly smooth spaces...

nonexpansive mapping | uniformly smooth Banach space | strong convergence | implicit midpoint rule | STRICT PSEUDO-CONTRACTIONS | APPROXIMATION METHODS | MATHEMATICS, APPLIED | GENERAL SYSTEM | 2-UNIFORMLY SMOOTH | FAMILY | VARIATIONAL-INEQUALITIES | MATHEMATICS | CONVERGENCE THEOREMS | ORDINARY DIFFERENTIAL-EQUATIONS | FIXED-POINTS | Viscosity | Iterative algorithms | Error analysis | Banach spaces | Iterative methods | 47H10 | 47J20 | Research | 49H09

nonexpansive mapping | uniformly smooth Banach space | strong convergence | implicit midpoint rule | STRICT PSEUDO-CONTRACTIONS | APPROXIMATION METHODS | MATHEMATICS, APPLIED | GENERAL SYSTEM | 2-UNIFORMLY SMOOTH | FAMILY | VARIATIONAL-INEQUALITIES | MATHEMATICS | CONVERGENCE THEOREMS | ORDINARY DIFFERENTIAL-EQUATIONS | FIXED-POINTS | Viscosity | Iterative algorithms | Error analysis | Banach spaces | Iterative methods | 47H10 | 47J20 | Research | 49H09

Journal Article

Numerical Algebra, Control and Optimization, ISSN 2155-3289, 03/2018, Volume 8, Issue 1, pp. 81 - 95

Journal Article

Computers and Mathematics with Applications, ISSN 0898-1221, 2011, Volume 62, Issue 2, pp. 787 - 796

We introduce a new iterative algorithm for finding a common fixed point of a countable family of strict pseudocontractions in q -uniformly smooth and uniformly convex Banach spaces...

Iterative algorithm | Strong convergence | Strict pseudocontractions | [formula omitted]-uniformly smooth Banach spaces | Common fixed points | q-uniformly smooth Banach spaces | HILBERT-SPACES | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | APPROXIMATION | ITERATIVE ALGORITHMS | WEAK CONVERGENCE | NONLINEAR OPERATORS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | THEOREMS | PSEUDO-CONTRACTIONS | EQUILIBRIUM PROBLEMS | FIXED-POINT PROBLEMS | Algorithms | Hilbert space | Iterative algorithms | Mapping | Mathematical models | Banach space | Convergence

Iterative algorithm | Strong convergence | Strict pseudocontractions | [formula omitted]-uniformly smooth Banach spaces | Common fixed points | q-uniformly smooth Banach spaces | HILBERT-SPACES | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | APPROXIMATION | ITERATIVE ALGORITHMS | WEAK CONVERGENCE | NONLINEAR OPERATORS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | THEOREMS | PSEUDO-CONTRACTIONS | EQUILIBRIUM PROBLEMS | FIXED-POINT PROBLEMS | Algorithms | Hilbert space | Iterative algorithms | Mapping | Mathematical models | Banach space | Convergence

Journal Article

Inverse problems, ISSN 1361-6420, 2009, Volume 25, Issue 1, pp. 015005 - 015005 (20)

We consider the task of computing an approximate minimizer of the sum of a smooth and a non-smooth convex functional, respectively, in Banach space...

MATHEMATICS, APPLIED | INEQUALITIES | ILL-POSED PROBLEMS | REGULARIZATION | PHYSICS, MATHEMATICAL | OPERATORS | UNIFORMLY CONVEX | Mathematics - Numerical Analysis

MATHEMATICS, APPLIED | INEQUALITIES | ILL-POSED PROBLEMS | REGULARIZATION | PHYSICS, MATHEMATICAL | OPERATORS | UNIFORMLY CONVEX | Mathematics - Numerical Analysis

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2018, Volume 2018, Issue 1, pp. 1 - 20

... algorithms in uniformly convex and uniformly smooth Banach spaces. The results of this paper improve and extend the previously known ones in the literature.

Systems of nonexpansive operator equations | Analysis | Uniformly smooth | Mathematics, general | Mathematics | Iterative algorithms | Applications of Mathematics | Uniformly convex | Banach space | Solution | MATHEMATICS | MATHEMATICS, APPLIED | FIXED-POINT THEOREMS | CONVERGENCE THEOREMS | METRIC-SPACES | MAPPINGS | Research

Systems of nonexpansive operator equations | Analysis | Uniformly smooth | Mathematics, general | Mathematics | Iterative algorithms | Applications of Mathematics | Uniformly convex | Banach space | Solution | MATHEMATICS | MATHEMATICS, APPLIED | FIXED-POINT THEOREMS | CONVERGENCE THEOREMS | METRIC-SPACES | MAPPINGS | Research

Journal Article

Proceedings of the American Mathematical Society, ISSN 0002-9939, 08/2012, Volume 140, Issue 8, pp. 2767 - 2782

On a class of implicit differential inclusions, Proc. Amer. Math. Soc., 124 (1996), no. 3, 745-749.]]]>

Mathematical monotonicity | Differential equations | Differentials | Separable spaces | Hilbert spaces | Mathematical duality | Banach space | Differential variability inequalities | Perceptron convergence procedure | Uniformly smooth and uniformly convex Banach spaces | Duality mapping | Generalized projection | Implicit convex sweeping process | MATHEMATICS | duality mapping | MATHEMATICS, APPLIED | implicit convex sweeping process | generalized projection

Mathematical monotonicity | Differential equations | Differentials | Separable spaces | Hilbert spaces | Mathematical duality | Banach space | Differential variability inequalities | Perceptron convergence procedure | Uniformly smooth and uniformly convex Banach spaces | Duality mapping | Generalized projection | Implicit convex sweeping process | MATHEMATICS | duality mapping | MATHEMATICS, APPLIED | implicit convex sweeping process | generalized projection

Journal Article

Journal of global optimization, ISSN 1573-2916, 2012, Volume 57, Issue 4, pp. 1327 - 1348

... of systems of variational inequalities for two inverse strongly accretive mappings in a q-uniformly smooth Banach space...

Strong convergence | Strongly accretive operator | Banach space | Optimization | Economics / Management Science | q -Uniformly smooth | 47H10 | Operations Research/Decision Theory | Inverse strongly accretive operator | 47H09 | Iterative algorithm | Computer Science, general | 47H17 | Real Functions | Fixed point | q-Uniformly smooth | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | COUNTABLE FAMILY | STRONG-CONVERGENCE THEOREMS | Algorithms | Studies | Mapping | Banach spaces | Theorems | Fixed points (mathematics) | Inequalities | Iterative algorithms | Inverse | Convergence

Strong convergence | Strongly accretive operator | Banach space | Optimization | Economics / Management Science | q -Uniformly smooth | 47H10 | Operations Research/Decision Theory | Inverse strongly accretive operator | 47H09 | Iterative algorithm | Computer Science, general | 47H17 | Real Functions | Fixed point | q-Uniformly smooth | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | COUNTABLE FAMILY | STRONG-CONVERGENCE THEOREMS | Algorithms | Studies | Mapping | Banach spaces | Theorems | Fixed points (mathematics) | Inequalities | Iterative algorithms | Inverse | Convergence

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2015, Volume 2015, Issue 1, pp. 1 - 14

... accretive operators and the set of fixed points of a δ-strict pseudocontraction in a real q-uniformly smooth Banach space...

Mathematical and Computational Biology | strict pseudocontraction | Mathematics | variational inequality | Topology | strong convergence | q -uniformly smooth Banach space | 47H10 | 49J30 | fixed point | Analysis | Mathematics, general | 49M05 | Applications of Mathematics | Differential Geometry | 47H17 | q-uniformly smooth Banach space | MATHEMATICS | NONEXPANSIVE-MAPPINGS | RELAXED EXTRAGRADIENT METHOD | GENERAL SYSTEM | STRONG-CONVERGENCE THEOREMS | SCHEMES | Inequalities (Mathematics) | Fixed point theory | Usage | Banach spaces | Iterative methods (Mathematics)

Mathematical and Computational Biology | strict pseudocontraction | Mathematics | variational inequality | Topology | strong convergence | q -uniformly smooth Banach space | 47H10 | 49J30 | fixed point | Analysis | Mathematics, general | 49M05 | Applications of Mathematics | Differential Geometry | 47H17 | q-uniformly smooth Banach space | MATHEMATICS | NONEXPANSIVE-MAPPINGS | RELAXED EXTRAGRADIENT METHOD | GENERAL SYSTEM | STRONG-CONVERGENCE THEOREMS | SCHEMES | Inequalities (Mathematics) | Fixed point theory | Usage | Banach spaces | Iterative methods (Mathematics)

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2015, Volume 2015, Issue 1, pp. 1 - 17

... of solutions of the variational inequalities for finite family of strongly accretive mappings in a q-uniformly smooth Banach space...

inverse strongly accretive operator | Mathematical and Computational Biology | Mathematics | variational inequality | Topology | iterative algorithm | q -uniformly smooth Banach space | 47H10 | fixed point | Analysis | 47H09 | Mathematics, general | Applications of Mathematics | Differential Geometry | 49J05 | q-uniformly smooth Banach space | MATHEMATICS | NONEXPANSIVE-MAPPINGS | CONSTRUCTION | COUNTABLE FAMILY | Fixed point theory | Usage | Banach spaces | Iterative methods (Mathematics) | Fixed points (mathematics) | Approximation | Mathematical analysis | Inequalities | Iterative algorithms | Mapping | Banach space | Convergence

inverse strongly accretive operator | Mathematical and Computational Biology | Mathematics | variational inequality | Topology | iterative algorithm | q -uniformly smooth Banach space | 47H10 | fixed point | Analysis | 47H09 | Mathematics, general | Applications of Mathematics | Differential Geometry | 49J05 | q-uniformly smooth Banach space | MATHEMATICS | NONEXPANSIVE-MAPPINGS | CONSTRUCTION | COUNTABLE FAMILY | Fixed point theory | Usage | Banach spaces | Iterative methods (Mathematics) | Fixed points (mathematics) | Approximation | Mathematical analysis | Inequalities | Iterative algorithms | Mapping | Banach space | Convergence

Journal Article

Mathematics, ISSN 2227-7390, 09/2015, Volume 3, Issue 3, pp. 891 - 896

The isomorphism of Karoubi-Villamayor K-groups with smooth K-groups for monoid algebras over quasi stable locally convex algebras is established...

K-regularity | Properly uniformly bounded approximate unit | Smooth K-groups | Quasi stable locally convex algebra | Isomorphism | Algebra | Approximation | Mathematical analysis | Monoids | properly uniformly bounded approximate unit | smooth K-groups | quasi stable locally convex algebra

K-regularity | Properly uniformly bounded approximate unit | Smooth K-groups | Quasi stable locally convex algebra | Isomorphism | Algebra | Approximation | Mathematical analysis | Monoids | properly uniformly bounded approximate unit | smooth K-groups | quasi stable locally convex algebra

Journal Article

Computers and Mathematics with Applications, ISSN 0898-1221, 01/2010, Volume 59, Issue 1, pp. 149 - 160

...i-strict pseudo-contractive non-self-mappings in the framework of q-uniformly smooth Banach spaces...

[formula omitted]-strict pseudo-contraction | Iterative algorithm | Strong convergence | [formula omitted]-uniformly smooth Banach spaces | Fixed point | λ-strict pseudo-contraction | q-uniformly smooth Banach spaces

[formula omitted]-strict pseudo-contraction | Iterative algorithm | Strong convergence | [formula omitted]-uniformly smooth Banach spaces | Fixed point | λ-strict pseudo-contraction | q-uniformly smooth Banach spaces

Journal Article

Set-valued and variational analysis, ISSN 1877-0533, 2012, Volume 21, Issue 1, pp. 1 - 16

In this paper we prove the existence of solutions of some types of second order implicit differential inclusions in reflexive smooth Banach spaces.

Geometry | Uniformly smooth and uniformly convex Banach spaces | 49J53 | Analysis | Generalized projection | Mathematics | Duality mapping | 34A60 | Implicit convex sweeping process | Implicit convex sweeping process | MATHEMATICS, APPLIED | EQUATIONS | CLAIRAUT TYPE

Geometry | Uniformly smooth and uniformly convex Banach spaces | 49J53 | Analysis | Generalized projection | Mathematics | Duality mapping | 34A60 | Implicit convex sweeping process | Implicit convex sweeping process | MATHEMATICS, APPLIED | EQUATIONS | CLAIRAUT TYPE

Journal Article

数学学报：英文版, ISSN 1439-8516, 2015, Volume 31, Issue 9, pp. 1435 - 1448

... problem for finite inversely strongly accretive mappings and the set of common fixed points for a countable family of strict pseudo-contractions in uniformly smooth Banach spaces...

巴拿赫空间 | 迭代算法 | 粘性 | 广义变分不等式问题 | 强增生映射 | 严格伪压缩 | 一致光滑 | 强收敛定理 | 47H10 | uniformly smooth Banach space | Variational inequality | fixed point | 47H09 | Mathematics, general | Mathematics | 47J25 | strong convergence | MATHEMATICS | APPROXIMATION METHODS | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | INFINITE FAMILY | GENERAL SYSTEM | STRONG-CONVERGENCE THEOREMS | Algorithms | Equality | Studies | Banach spaces | Iterative methods | Mathematical analysis | Viscosity | Theorems | Fixed points (mathematics) | Inequalities | Iterative algorithms | Mapping | Banach space | Convergence

巴拿赫空间 | 迭代算法 | 粘性 | 广义变分不等式问题 | 强增生映射 | 严格伪压缩 | 一致光滑 | 强收敛定理 | 47H10 | uniformly smooth Banach space | Variational inequality | fixed point | 47H09 | Mathematics, general | Mathematics | 47J25 | strong convergence | MATHEMATICS | APPROXIMATION METHODS | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | INFINITE FAMILY | GENERAL SYSTEM | STRONG-CONVERGENCE THEOREMS | Algorithms | Equality | Studies | Banach spaces | Iterative methods | Mathematical analysis | Viscosity | Theorems | Fixed points (mathematics) | Inequalities | Iterative algorithms | Mapping | Banach space | Convergence

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2012, Volume 2012, Issue 1, pp. 1 - 17

.... Furthermore, we prove the strong convergence theorems of such iterative scheme in a q-uniformly smooth Banach space which admits a weakly sequentially continuous generalized duality mapping...

q -uniformly smooth Banach space | Mathematical and Computational Biology | Analysis | strong convergence theorem | common fixed point | Mathematics, general | Mathematics | variational inequality | Applications of Mathematics | Topology | Differential Geometry | strict pseudo-contractions | Q-uniformly smooth Banach space | Strict pseudo-contractions | Strong convergence theorem | Common fixed point | Variational inequality | MATHEMATICS | NONEXPANSIVE-MAPPINGS | CONSTRUCTION | CONVERGENCE | q-uniformly smooth Banach space | ALGORITHMS | PROJECTIONS | Usage | Problem solving | Fixed point theory | Banach spaces | Iterative methods (Mathematics) | Methods | Contraction operators | Fixed points (mathematics) | Mathematical analysis | Classification | Inequalities | Hilbert space | Mapping | Banach space | Iterative methods | Convergence

q -uniformly smooth Banach space | Mathematical and Computational Biology | Analysis | strong convergence theorem | common fixed point | Mathematics, general | Mathematics | variational inequality | Applications of Mathematics | Topology | Differential Geometry | strict pseudo-contractions | Q-uniformly smooth Banach space | Strict pseudo-contractions | Strong convergence theorem | Common fixed point | Variational inequality | MATHEMATICS | NONEXPANSIVE-MAPPINGS | CONSTRUCTION | CONVERGENCE | q-uniformly smooth Banach space | ALGORITHMS | PROJECTIONS | Usage | Problem solving | Fixed point theory | Banach spaces | Iterative methods (Mathematics) | Methods | Contraction operators | Fixed points (mathematics) | Mathematical analysis | Classification | Inequalities | Hilbert space | Mapping | Banach space | Iterative methods | Convergence

Journal Article

Set-Valued and Variational Analysis, ISSN 1877-0533, 6/2012, Volume 20, Issue 2, pp. 187 - 201

We prove the existence of solutions for the state depending convex sweeping processes in p-uniformly smooth and q-uniformly convex Banach spaces via new recent results on proximal analysis...

Geometry | Uniformly smooth and uniformly convex Banach spaces | 49J53 | Analysis | Generalized projection | Mathematics | State dependent sweeping process | Duality mapping | 34A60 | MATHEMATICS, APPLIED

Geometry | Uniformly smooth and uniformly convex Banach spaces | 49J53 | Analysis | Generalized projection | Mathematics | State dependent sweeping process | Duality mapping | 34A60 | MATHEMATICS, APPLIED

Journal Article

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