Banach Space
Some Modulus and Normal Structure in Banach Space
... a Banach space X has normal structure in terms of the modulus of U-convexity, modulus of W ∗ -convexity, and the coe ffi cient R 1, X , which generalized some well-known ...
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On the rate of convergence of bootstrapped means in a Banach space
... Recently, Bozorgnia et al. [1], Hu et al. [3], and Sung [6] proved Chung’s type strong laws of large numbers for arrays of rowwise independent random variables or random elements. We now apply Theorem 2.1 toobtain a ...
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Borel sets and σ-fragmentability of a Banach space
... a Banach space o f one o f the following types: weakly countably determined, the dual o f an Asplund space or a C (K ) space with K being a Valdivia compact ...
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Sensitivity of dynamical systems to Banach space parameters
... In this paper we have given a general theoretical sensitivity framework for abstract systems in a Banach space with dynamics that depend on vector (Banach) space parameters. We then show that ...
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Sturm Liouville BVP in Banach space
... The boundary value problems (BVPs) for ordinary differential equations play a very important role in both theory and application. They are used to describe a large num- ber of physical, biological, and chemical ...
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G Contractive Sequential Composite Mapping Theorem in Banach or Probabilistic Banach Space and Application to Prey Predator System and A & H Stock Prices
... the Banach contraction mapping theorem is a basic theorem for many research ...the Banach contraction mapping theo- rem needs a serious restriction, that is, all contraction mapping ratios must less than a ...
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Existence and approximation for a solution of a generalized equilibrium problem on the dual space of a Banach space
... dual space of a Banach space, and we also construct an iterative procedure generated by a hybrid method for solving the solution of a generalized equilibrium problem by using the sunny generalized ...
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The lattice of closed ideals in the Banach algebra of operators on a certain dual Banach space
... Note that (1.1) is the dual Banach space of (1.2), and so the result of this note can be seen as a `dualization' of [8]. In fact, our strategy draws heavily on the methods introduced in [8]. However, the ...
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Existence results in Banach space for a nonlinear impulsive system
... Scientists are exploring different scientific aspects of fractional calculus. The existence and uniqueness of solutions (EUS) are popular studies. For this purpose, scientists are us- ing numerous scientific approaches. ...
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Generalization of the Pecaric Rajic Inequality in a Quasi Banach Space
... quasi-Banach space, we establish the generalized inequa- lity for an arbitrary number of finitely many nonzero elements of a qua- si-Banach space, and obtain the corresponding upper and lower ...
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Some special characterisations of Fredholm operators in Banach space
... A bounded linear operator which has a finite index and which is defined on a Banach space is often referred to in the literature as a Fredholm operator. Fredholm operators are important for a variety of ...
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A generalized system of variational inequalities in a Banach space
... Theorem A [6] Let B be a reflexive, strictly convex and smooth Banach space with dual B ∗ . Let T be an arbitrary operator from Banach space B to B ∗ , α an arbitrary fixed positive number. ...
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On complete convergence in a Banach space
... ABSTRACT: Sufficient conditions are given under which a sequence of independent random elements taking values in a Banach space satisfy the Hsu and Robbins law of large numbers.. The com[r] ...
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Nonwandering operators in Banach space
... We introduce nonwandering operators in infinite-dimensional separable Banach space. They are new linear chaotic operators and are relative to hypercylic operators, but dif- ferent from them. Firstly, we ...
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Generalized dissipativeness in a Banach space
... John Neuberger of the University of North Texas pointed me toward this area of research, and Troy Hicks of the University of Missouri, Rolla urged me to consider the Banach space approac[r] ...
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Some fixed point theorems using expansive type mappings in 2-Banach space
... idea of 2-metric and 2-Banach spaces and proved the same results. Subsequently, several au- thors including Iseki [4], Rhoades [8], White [13], Panja and Baisnab [7] and Saha et al. [11] studied various aspects of ...
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Theory of Fractional Differential Equations in a Banach Space
... Recently [9]- [12], we have investigated the fundamental theory of the initial value problem for fractional differen- tial equations involving Riemann-Liouville differential operators of[r] ...
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Inductive properties of fixed point sets of mappings on posets and on partially ordered topological spaces
... topological space equipped with a partial order is called a partially ordered topological space, if the topology on this space is natural with respect to the given partial ...a Banach ...
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Vol 9, No 8 (2018)
... C. Park [13] introduced the term of a quasi 2-normed space. Also he proved some properties of quasi 2-norm and M. Kir and M. Acikgoz[9] elaborated the procedure for completing the quasi 2-normed space. In ...
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On uniform Kadec Klee properties and rotundity in generalized Cesàro sequence spaces
... A Banach space X is said to have the Kadec-Klee property or H-property if every weakly convergent sequence on the unit sphere is convergent in norm.. Every UKK Banach space has H-propert[r] ...
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