Proximal-type algorithms for split minimization problem in P-uniformly convex metric spaces
Sign Up to like & getrecommendations! Published in 2018 at "Numerical Algorithms"
DOI: 10.1007/s11075-018-0633-9
Abstract: 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. We also analyse asymptotic behaviour of the sequence generated by Halpern-type… read more here.
Keywords: algorithms; uniformly convex; metric spaces; minimization ... See more keywords
A result on the ideal structure of $$\mathcal L^r(X)$$Lr(X) for uniformly convex X
Sign Up to like & getrecommendations! Published in 2018 at "Positivity"
DOI: 10.1007/s11117-018-0619-9
Abstract: We consider the question of when is every positive compact operator, between two given Banach lattices, approximable regular. An immediate consequence of our main result is that, within the class of uniformly convex Banach lattices,… read more here.
Keywords: uniformly convex; structure mathcal; result; result ideal ... See more keywords
Uniformly convex renormings and generalized cotypes
Sign Up to like & getrecommendations! Published in 2021 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2021.107679
Abstract: We are concerned about improvements of the modulus of convexity by renormings of a super-reflexive Banach space. Typically optimal results are beyond Pisier's power functions bounds $t^p$, with $p \geq 2$, and they are related… read more here.
Keywords: renormings generalized; modulus convexity; generalized cotypes; uniformly convex ... See more keywords
Fixed point approximation of multi-valued non-expansive mappings in uniformly convex Banach spaces via AR-iteration
Sign Up to like & getrecommendations! Published in 2024 at "Modern Physics Letters B"
DOI: 10.1142/s0217984924504955
Abstract: The aim of this paper is to introduce a novel approach for estimating the fixed points of multi-valued non-expansive mappings using the AR-iteration scheme in the context of uniformly convex Banach spaces. We establish strong… read more here.
Keywords: expansive mappings; iteration; non expansive; multi valued ... See more keywords
Convergences of Weighted Averaged Operators in p‐Uniformly Convex Metric Spaces
Sign Up to like & getrecommendations! Published in 2025 at "Journal of Mathematics"
DOI: 10.1155/jom/6759345
Abstract: This paper presents improvements to theorems concerning the △‐convergence of iterative sequences in p ‐uniformly convex metric spaces. The analysis focuses on sequences generated by weighted average operators applied to pairs of simultaneous quasi‐nonexpansive mappings.… read more here.
Keywords: convex metric; averaged operators; weighted averaged; convergences weighted ... See more keywords
Inequalities for H-invex functions with applications for uniformly convex and superquadratic functions
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DOI: 10.2298/fil1715781n
Abstract: In this paper, we introduce and study H-invex functions including the classes of convex, η-invex, (F,G)-invex, c-strongly convex, φ-uniformly convex and superquadratic functions, respectively. Each Hinvex function attains its global minimum at an H-stationary point.… read more here.
Keywords: uniformly convex; invex functions; functions applications; convex superquadratic ... See more keywords
Subclasses of Uniformly Convex Functions with Negative Coefficients Based on Deniz-Özkan Differential Operator
Sign Up to like & getrecommendations! Published in 2022 at "Axioms"
DOI: 10.3390/axioms11120731
Abstract: We introduce in this paper a new family of uniformly convex functions related to the Deniz–Özkan differential operator. By using this family of functions with a negative coefficient, we obtain coefficient estimates, the radius of… read more here.
Keywords: functions negative; deniz zkan; uniformly convex; differential operator ... See more keywords
Existence Results for Second Order Nonconvex Sweeping Processes in q-Uniformly Convex and 2-Uniformly Smooth Separable Banach Spaces
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DOI: 10.3390/sym11010028
Abstract: We prove an existence result, in the separable Banach spaces setting, for second order differential inclusions of type sweeping process. This type of differential inclusion is defined in terms of normal cones and it covers… read more here.
Keywords: existence; second order; uniformly convex; banach spaces ... See more keywords
Topological Properties for Harmonic τ-Uniformly Convex Functions of Order ρ Associated with Wanas Differential Operator
Sign Up to like & getrecommendations! Published in 2020 at "European Journal of Mass Spectrometry"
DOI: 10.34198/ejms.4220.333346
Abstract: The purpose of the present paper is to establish some topological properties for a certain family of harmonic τ-uniformly convex functions of order ρ associated with Wanas differential operatordefined in the open unit disk U. read more here.
Keywords: convex functions; uniformly convex; order associated; harmonic uniformly ... See more keywords
On stability of non-surjective $ (\varepsilon, s) $-isometries of uniformly convex Banach spaces
Sign Up to like & getrecommendations! Published in 2024 at "Mathematical Biosciences and Engineering"
DOI: 10.3934/math.20241094
Abstract: In this paper, we established two results concerning non-surjective $ (\varepsilon, s) $-isometries of uniformly convex Banach spaces, which extended some known results of Dolinar and Jung. read more here.
Keywords: surjective varepsilon; varepsilon isometries; isometries uniformly; non surjective ... See more keywords