On the multi-valued metric projection in normed vector spaces by Ioan Şerb

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On the multi-valued metric projection in normed vector spaces by Ioan Şerb

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On the multi-valued metric projection in normed vectors spaces II. by Ioan Şerb

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On the multi-valued metric projection in normed vectors spaces II. by Ioan Şerb

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On the property of bases of multiple systems in Sobolev-Liouville classes by Onur Alp Ilhan, Shakirbay G. Kasimov

Subjects: “…Banach Space| Hilbert Space| Sobolev Space| Normed Vector Space…”
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Non-Equivalent Norms on $C^b(K)$ by Ali Reza Khoddami

Subjects: “…normed vector space…”
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Motion planning algorithms, topological properties and affine approximation by Younes Derfoufi, My Ismail Mamouni

“…We focus here on the topological study of the set of these algorithms, when the configuration space is a normed vector space. We especially show that any motion planning algorithm in a compact sub-configuration space can be approximated by some piecewise affine ones.…”
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Neutrosophic Triplet m-Banach Spaces by Abdullah Kargın, Azize Dayan, İsmet Yıldız, Adil Kılıç

“…Also, Banach spaces are complete normed vector space defined by real and complex numbers that are studied historically in functional analysis. …”
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Modelling Topological Features of Swarm Behaviour in Space and Time With Persistence Landscapes by Padraig Corcoran, Christopher B. Jones

“…This information is in turn modelled as a persistence landscape, which forms a normed vector space and facilitates the application of statistical and data mining techniques. …”
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The Principle of Relativity: From Ungar’s Gyrolanguage for Physics to Weaving Computation in Mathematics by Françoise Chatelin

“…Two physically meaningful examples of a non standard + are ‎provided by the observation of motion in Special Relativity‎, ‎from either ‎outside (3D) or inside (2D or more)‎, ‎We revisit the "gyro"-theory of Ungar to present ‎the multifaceted information processing which is created by a metric cloth W‎, ‎a relating computational construct framed in a normed vector space V‎, ‎and based ‎on a non standard addition denoted ⊕ whose commutativity and associativity ‎are ruled (woven) by a relator‎, ‎that is a map which assigns to each pair of admissible vectors ‎in V an automorphism in Aut(W‎). ‎…”
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On the stability of radical septic functional equations by Emanuel Guariglia, Kandhasamy Tamilvanan

“…This paper deals with the approximate solution of the following functional equation <disp-formula><math display="block"><semantics><mrow><mi>f</mi><mfenced separators="" open="(" close=")"><mroot><mrow><msup><mi>x</mi><mn>7</mn></msup><mo>+</mo><msup><mi>y</mi><mn>7</mn></msup></mrow><mn>7</mn></mroot></mfenced><mo>=</mo><mi>f</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>+</mo><mi>f</mi><mrow><mo>(</mo><mi>y</mi><mo>)</mo></mrow><mo>,</mo></mrow></semantics></math></disp-formula> where <i>f</i> is a mapping from <inline-formula><math display="inline"><semantics><mi mathvariant="double-struck">R</mi></semantics></math></inline-formula> into a normed vector space. We show stability results of this equation in quasi-<inline-formula><math display="inline"><semantics><mi>β</mi></semantics></math></inline-formula>-Banach spaces and <inline-formula><math display="inline"><semantics><mrow><mo>(</mo><mi>β</mi><mo>,</mo><mi>p</mi><mo>)</mo></mrow></semantics></math></inline-formula>-Banach spaces. …”
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Lower bounds for embedding the Earth Mover Distance metric into normed spaces by Samuel, Javed K. K

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Convergence and Best Proximity Points for Generalized Contraction Pairs by Slah Sahmim, Abdelbasset Felhi, Hassen Aydi

“…</i> <b>2011</b>, <i>49</i>, 15&#8315;21) As an application, we give a result for nonexpansive mappings in normed vector spaces.…”
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Optimization of robot gripping forces and worst case loading by Or Elmackias, Tami Zaretzky, Reuven Segev

“…Working in the framework of finite dimensional normed vector spaces and their dual spaces, the cost function to be minimized is assumed to be a norm on the space of gripping forces. …”
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Convexity and boundedness relaxation for fixed point theorems in modular spaces by Fatemeh Lael, Samira Shabanian

“…Although fixed point theorems in modular spaces have remarkably applied to a wide variety of mathematical problems, these theorems strongly depend on some assumptions which often do not hold in practice or can lead to their reformulations as particular problems in normed vector spaces. A recent trend of research has been dedicated to studying the fundamentals of fixed point theorems and relaxing their assumptions with the ambition of pushing the boundaries of fixed point theory in modular spaces further. …”
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Reduction and continuation theorems for Brouwer degree and applications to nonlinear difference equations by Jean Mawhin

“…Ecole Normale Sup. (3) 51 (1934), 45–78], which is fundamental for their construction of Leray-Schauder's degree in normed vector spaces.…”
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On Some Consequences of the Functional Generalization of the Parallelogram Identity by Maczyński Maciej J.

“…We study vector spaces admitting a real non-negative functional which satisfies an identity analogous to the parallelogram identity in normed vector spaces. We show that this generalized parallelogram identity also implies an equality analogous to the Cauchy-Schwarz inequality. …”
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Theory of the norm-induced metric in atmospheric dynamics by T.-Y. Koh, F. Wan

“…The approach is based on the rigorous mathematics of normed vector spaces and the law of energy conservation in physics. …”
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Theory of the norm-induced metric in atmospheric dynamics by Koh, Tieh-Yong, Wan, F.

“…The approach is based on the rigorous mathematics of normed vector spaces and the law of energy conservation in physics. …”
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Subdifferential Properties of Minimal Time Functions Associated with Set-Valued Mappings with Closed Convex Graphs in Hausdorff Topological Vector Spaces by Messaoud Bounkhel

“…Our results extend many existing results, from Banach spaces and normed vector spaces to Hausdorff topological vector spaces (Bounkhel, 2012; Bounkhel and Thibault, 2002; Burke et al., 1992; He and Ng, 2006; and Jiang and He 2009). …”
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