Banas–Hajnosz–Wedrychowicz type modulus of convexity and normal structure in Banach spaces
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-018-0537-2
Abstract: In this paper, we present some sufficient conditions for which the Banach space X has uniform normal structure in terms of the Banas–Hajnosz–Wedrychowicz type modulus of convexity $$SY_X(\epsilon )$$SYX(ϵ), the coefficient of weak orthogonality $$\omega… read more here.
Keywords: wedrychowicz type; modulus convexity; type modulus; hajnosz wedrychowicz ... See more keywords
The E-normal structure of odd dimensional unitary groups
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Pure and Applied Algebra"
DOI: 10.1016/j.jpaa.2017.11.002
Abstract: In this paper we define odd dimensional unitary groups $U_{2n+1}(R,\Delta)$. These groups contain as special cases the odd dimensional general linear groups $GL_{2n+1}(R)$ where $R$ is any ring, the odd dimensional orthogonal and symplectic groups… read more here.
Keywords: structure odd; dimensional unitary; unitary groups; normal structure ... See more keywords
The E-normal structure of Petrov’s odd unitary groups over commutative rings
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DOI: 10.1080/00927872.2019.1677689
Abstract: Abstract For an odd quadratic space of Witt index over a commutative ring with pseudoinvolution, we classify the subgroups of the odd unitary group that are normalized by the elementary subgroup defined by a hyperbolic… read more here.
Keywords: normal structure; unitary groups; petrov odd; odd unitary ... See more keywords
Diametrically Relatively Nonexpansive Mappings and a Characterization of Proximal Normal Structure
Sign Up to like & getrecommendations! Published in 2023 at "Numerical Functional Analysis and Optimization"
DOI: 10.1080/01630563.2023.2212495
Abstract: Abstract We consider a new type of cyclic (noncyclic) mappings, called diametrically relatively nonexpansive maps which contains properly the class of cyclic (noncyclic) relatively nonexpansive mappings. For such mappings we obtain existence results of best… read more here.
Keywords: nonexpansive mappings; proximal normal; normal structure; relatively nonexpansive ... See more keywords
U-FLATNESS AND NON-EXPANSIVE MAPPINGS IN BANACH SPACES
Sign Up to like & getrecommendations! Published in 2017 at "Journal of The Korean Mathematical Society"
DOI: 10.4134/jkms.j160068
Abstract: A Banach space X is said to have • normal structure if every bounded convex subset ofX has normal structure; • weak normal structure if every weakly compact convex set K of X has normal… read more here.
Keywords: flatness non; non expansive; expansive mappings; normal structure ... See more keywords