Results 21 to 30 of about 600 (94)
Journal of Inequalities and Applications, 2013 In this paper, a shrinking projection algorithm based on the prediction correction method for equilibrium problems and weak Bregman relatively nonexpansive mappings is introduced and investigated in Banach spaces, and then the strong convergence of the ...
R. Agarwal, Jiawei Chen, Y. Cho
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Nonlinear Sherman-type inequalities
Advances in Nonlinear Analysis, 2018 An important class of Schur-convex functions is generated by convex functions via the well-known Hardy–Littlewood–Pólya–Karamata inequality. Sherman’s inequality is a natural generalization of the HLPK inequality.
Niezgoda Marek
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, 2013 The judgement theorems of Schur geometric and Schur harmonic convexities for a class of symmetric functions are given. As their application, some analytic inequalities are established.MSC:26D15, 05E05, 26B25.
Huan-nan Shi, Jing Zhang
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Continued fractions built from convex sets and convex functions [PDF]
, 2014 In a partially ordered semigroup with the duality (or polarity) transform, it is possible to define a generalisation of continued fractions. General sufficient conditions for convergence of continued fractions with deterministic terms are provided.
Molchanov, Ilya
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Regularity Results for Eikonal-Type Equations with Nonsmooth Coefficients [PDF]
, 2011 Solutions of the Hamilton-Jacobi equation $H(x,-Du(x))=1$, with $H(\cdot,p)$ H\"older continuous and $H(x,\cdot)$ convex and positively homogeneous of degree 1, are shown to be locally semiconcave with a power-like modulus. An essential step of the proof
Cannarsa, Piermarco +1 more
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Characterization of the monotone polar of subdifferentials
, 2013 We show that a point is solution of the Minty variational inequality of subdifferential type for a given function if and only if the function is increasing along rays starting from that point.
Lassonde, Marc
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Characterization of inner product spaces and quadratic functions by some classes of functions
, 2020 We define and discuss the c -quadratic-midaffine and F -midaffine functions. Using these functions we characterize inner product spaces and quadratic functions, respectively. Mathematics subject classification (2010): 46C15, 26B25, 39B62.
Mirosław Adamek
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On Schur m-power convexity for ratios of some means
, 2015 In the paper, the authors discuss the Schur m -power convexity on (0,∞)× (0,∞) for ratios of some famous means, such as the arithmetic, geometric, harmonic, root-square means, and the like, and obtain some inequalities related to ratios of means ...
Hong-Ping Yin +2 more
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Optimality and duality in set-valued optimization utilizing limit sets
Open Mathematics, 2018 This paper deals with optimality conditions and duality theory for vector optimization involving non-convex set-valued maps. Firstly, under the assumption of nearly cone-subconvexlike property for set-valued maps, the necessary and sufficient optimality ...
Kong Xiangyu, Zhang Yinfeng, Yu GuoLin
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Continuity properties of K-midconvex and K-midconcave set-valued maps
Mathematical Inequalities & Applications, 2019 A recent result on the continuity of midconvex functionals upper bounded on a not null-finite set (see [2]) is extended to K -midconvex and K -midconcave set-valued maps. Mathematics subject classification (2010): 26B25, 39B62, 54C60.
E. Jabłońska, K. Nikodem
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