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Complex Variables and Elliptic Equations, ISSN 1747-6933, 10/2016, Volume 61, Issue 10, pp. 1418 - 1433
In this paper, we prove necessary and sufficient conditions for a sense-preserving harmonic function to be absolutely convex in the open unit disc... 
uniformly convex | growth theorem | uniformly starlike | Harmonic univalent | Bernardi-type operator | Gaussian hypergeometric functions | coefficient bounds | absolutely convex | Primary: 31A05 | covering theorem | Secondary: 33C05 | MATHEMATICS | Harmonic functions | Harmonics | Operators | Mathematical analysis | Disks | Mapping | Complex variables | Joints
Journal Article
Numerical algorithms, ISSN 1572-9265, 2018, Volume 82, Issue 3, pp. 909 - 935
In this paper, we study strong convergence of some proximal-type algorithms to a solution of split minimization problem in complete p-uniformly convex metric spaces... 
47H10 | Algorithms | Algebra | 49J20 | Numerical Analysis | 49J40 | Computer Science | Numeric Computing | 47H09 | Theory of Computation | MATHEMATICS, APPLIED | INCLUSION PROBLEM | INEQUALITY | ITERATIVE METHOD | Proximal point algorithm | PROJECTION | Resolvent | p-uniformly convex spaces | Split minimization problem | CONVERGENCE | Convex functions | MONOTONE-OPERATORS | FIXED-POINT PROBLEMS
Journal Article
Commentarii Mathematici Helvetici, ISSN 0010-2571, 2016, Volume 91, Issue 2, pp. 203 - 218
...) and arbitrary unitary representation $\rho$ of $\Gamma$ in a (nonzero) uniformly convex Banach space the vector space $H^2_b(\Gamma;\rho... 
Group theory and generalizations | Functional analysis | Acylindrically hyperbolic groups | Uniformly convex Banach space | Second bounded cohomology
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 2011, Volume 61, Issue 1, pp. 117 - 125
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 05/2013, Volume 401, Issue 1, pp. 1 - 8
Let C be a convex subset of a locally convex space. We provide optimal approximate fixed point results for sequentially continuous maps f:C→C... 
Approximate fixed point sequence | Totally bounded set | Approximate fixed point net | Sequentially continuous map | Uniformly continuous map | MATHEMATICS | COMPACT | MATHEMATICS, APPLIED | THEOREMS | PROPERTY | TOPOLOGICAL VECTOR-SPACES | Mathematics - Functional Analysis
Journal Article
Journal of Inequalities and Applications, ISSN 1025-5834, 12/2018, Volume 2018, Issue 1, pp. 1 - 15
.... Our main theorem is deduced in metric spaces. As an application, we obtain the corresponding results in uniformly convex Banach spaces using the geometry of the space... 
47H10 | Analysis | Optimal approximate solution | Mathematics, general | Best proximity pair | Mathematics | Metric spaces | Applications of Mathematics | 54H10 | Coupling | Uniformly convex Banach space | 54H25 | EXISTENCE | CYCLIC CONTRACTIVE MAPS | MATHEMATICS, APPLIED | MATHEMATICS | FIXED-POINT THEOREMS | MAPPINGS | PROXIMITY POINTS | ORDERED METRIC-SPACES | Couplings | Error analysis | Banach spaces | Banach space | Research
Journal Article
数学物理学报:B辑英文版, ISSN 0252-9602, 2014, Volume 34, Issue 2, pp. 435 - 443
Abstract In this article, we extend the definition of uniformly starlike functions and uni- formly convex functions on the unit disk to the unit ball in C... 
星形映照 | 凸函数 | 星像函数 | n次方 | 单位球 | 单位圆盘 | 凸映照 | 判别准则 | uniformly convex mappings | the unit ball | MATHEMATICS | Uniformly starlike mappings
Journal Article
Journal of Applied Analysis, ISSN 1425-6908, 06/2017, Volume 23, Issue 1, pp. 33 - 38
We investigate classes of -uniformly convex functions which generalize the class introduced by Goodman in 1991... 
Starlike functions | order of starlikeness | 30C45 | convex functions | k-uniformly starlike functions | k-uniformly convex functions | Mathematical analysis | Convex analysis
Journal Article
数学年刊:B辑英文版, ISSN 0252-9599, 2014, Volume 35, Issue 5, pp. 733 - 742
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2009, Volume 350, Issue 2, pp. 745 - 757
We prove that if K is a Gruenhage compact space then C ( K ) ∗ admits an equivalent, strictly convex dual norm... 
Gruenhage space | Rotund | Strictly convex | Renorming theory | Perfect image | Norm | Tree | Continuous image | MATHEMATICS, APPLIED | SPACES | UNIFORMLY ROTUND NORMS | MATHEMATICS | TREES
Journal Article
Communications of the Korean Mathematical Society, ISSN 1225-1763, 2016, Volume 31, Issue 4, pp. 845 - 855
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 06/2015, Volume 426, Issue 2, pp. 1182 - 1191
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
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 3/2009, Volume 137, Issue 3, pp. 1081 - 1091
Given a Banach space (X,ǁ · ǁ), we study the connection between uniformly convex functions f: X → ℝ bounded above by $\|\cdot \|^{p... 
Unit ball | Mathematical functions | Convexity | Banach space | Superreflexive | Convex function | Uniformly convex | Uniformly smooth | uniformly convex | MATHEMATICS | MATHEMATICS, APPLIED | SMOOTHNESS | CONVERGENCE | uniformly smooth | supperreflexive
Journal Article
Mathematics (Basel), ISSN 2227-7390, 2019, Volume 7, Issue 8, p. 706
In this paper, our aim is to define certain new classes of multivalently spiral-like, starlike, convex and the varied Mocanu-type functions, which are associated with conic domains... 
analytic functions | MATHEMATICS | conic domains | close-to-convex functions | uniformly starlike functions | starlike functions | uniformly close-to-convex functions | UNIVALENT | multivalent functions | SUBCLASS
Journal Article
Optimization Methods and Software, ISSN 1055-6788, 01/2020, Volume 35, Issue 1, pp. 21 - 36
In this paper, we extend two important notions, weighted average method and Mann's iterative method, in the study of convex feasibility problem for general maps defined on p-uniformly convex metric spaces. Then we prove the Δ... 
Mann's iterative method | Weighted average sequence | Δ-convergence | convex feasibility problem | p-uniformly convex metric space | Metric space | Feasibility studies
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
Journal Article
Mathematica Slovaca, ISSN 0139-9918, 08/2019, Volume 69, Issue 4, pp. 825 - 832
Making use of Ruscheweyh -differential operator, we define a new subclass of uniformly convex functions and corresponding subclass of starlike functions with negative coefficients... 
starlike function | 30C50 | uniformly convex function | uniformly starlike function | Ruscheweyh | convex function | differential operator | univalent function | Primary 30C45 | Ruscheweyh q-differential operator | MATHEMATICS | ANALYTIC-FUNCTIONS | Operators (mathematics) | Coefficients | Convex analysis | Differential equations
Journal Article
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