Results 71 to 80 of about 3,123 (248)
In this paper, we investigate and analyze a proximal point algorithm via viscosity approximation method with error. This algorithm is introduced for finding a common zero point for a countable family of inverse strongly accretive operators and a ...
Khanittha Promluang +2 more
doaj +1 more source
ABSTRACT In this second part of our series of papers, we develop an abstract framework suitable for de Rham complexes that depend on a parameter belonging to an arbitrary Banach space. Our primary focus is on spectral perturbation problems and the differentiability of eigenvalues with respect to perturbations of the involved parameters. As a byproduct,
Pier Domenico Lamberti +2 more
wiley +1 more source
We introduce Mann-type extragradient methods for a general system of variational inequalities with solutions of a multivalued variational inclusion and common fixed points of a countable family of nonexpansive mappings in real smooth Banach spaces.
Lu-Chuan Ceng +2 more
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The Fixed Point Property of a Class of Generalized Nonexpansive Mappings
In this paper, the most famous result by Wkirk is that the nonexpansive mapping has the fixed point property in a Banach space with normal structure reflexive is extended to a more general form of mapping,namely:‖T(x)-T(y)‖≤a1(t)(d(x,y))‖x-y‖+a2(t ...
ZHANG Shao-yong, ZHU Peng
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ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen +3 more
wiley +1 more source
Two remarks on diameter 2 properties; pp. 2–7 [PDF]
 A Banach space is said to have the diameter 2 property if the diameter of every nonempty relatively weakly open subset of its unit ball equals 2. In a paper by Abrahamsen, Lima, and Nygaard (Remarks on diameter 2 properties. J. Conv. Anal., 2013, 20,
Rainis Haller, Johann Langemets
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On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces
ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
wiley +1 more source
ABSTRACT This work presents a general framework for deriving the Young–Laplace equation and the Young's equations for an axisymmetric capillary bridge between two parallel plates by minimizing the system's total energy. These Young's equations naturally emerge as boundary conditions associated with the Young–Laplace equation.
Olivier Millet +3 more
wiley +1 more source
Bochner's Theorem in Measurable Dual of Type 2 Banach Space
Let \(\mu\) be a Radon probability measure on a type 2 Banach space E. The following Bochner's theorem is proved. For every continuous positive definite function \(\phi\) \((\phi (0)=1)\) on E, there exists a Radon probability measure \(\sigma_{\phi}\) on the measurable dual \(H_ 0(\mu)\) of (E,\(\mu)\) with the characteristic functional \(\phi\) (in ...
openaire +2 more sources
A ninny, an idiot and an economic theorist
Abstract Anton Chekhov's story ‘The ninny’ meets the question: ‘What is the meaning of economic theory?’
Ariel Rubinstein
wiley +1 more source

