The (𝐷) Property in Banach Spaces by Danyal Soybaş

“…A Banach space 𝐸 is said to have (D) property if every bounded linear operator 𝑇∶𝐹→𝐸∗ is weakly compact for every Banach space 𝐹 whose dual does not contain an isomorphic copy of 𝑙∞. …”
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Nonwandering operators in Banach space by Lixin Tian, Jiangbo Zhou, Xun Liu, Guangsheng Zhong

“…We introduce nonwandering operators in infinite-dimensional separable Banach space. They are new linear chaotic operators and are relative to hypercylic operators, but different from them. …”
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A New Class of Banach Spaces and Its Relation with Some Geometric Properties of Banach Spaces by M. Salimi, S. M. Moshtaghioun

“…By introducing the concept of L-limited sets and then L-limited Banach spaces, we obtain some characterizations of it with respect to some well-known geometric properties of Banach spaces, such as Grothendieck property, Gelfand-Phillips property, and reciprocal Dunford-Pettis property. …”
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On P- and p-Convexity of Banach Spaces by Omar Muñiz-Pérez

“…We show that every U-space and every Banach space X satisfying δX(1)>0 are P(3)-convex, and we study the nonuniform version of P-convexity, which we call p-convexity.…”
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On Schauder Frames in Conjugate Banach Spaces by S. K. Kaushik, S. K. Sharma, Khole Timothy Poumai

“…Weak*-Schauder frame in conjugate Banach spaces has been introduced and studied. A sufficient condition for the existence of weak*-Schauder frame in the conjugate space of a separable Banach space has been given. …”
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Type and cotype of some Banach spaces by Mieczyslaw Mastylo

“…Type and cotype are computed for Banach spaces generated by some positive sublinear operators and Banach function spaces. …”
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On the JK Iterative Process in Banach Spaces by Junaid Ahmad, Hüseyin Işık, Faeem Ali, Kifayat Ullah, Eskandar Ameer, Muhammad Arshad

“…Among the other things, an effective iterative procedure called the JK iterative scheme was recently constructed and its strong and weak convergence was established for the class of Suzuki mappings in the setting of Banach spaces. The first purpose of this research is to obtain the strong and weak convergence of this scheme in the wider setting of generalized α-nonexpansive mappings. …”
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Remarks on quadratic equations in Banach space by Ioannis K. Argyros

“…We find new sufficient conditions for the uniqueness of solutions of quadratic and in general multilinear equations in a Banach space X, by assuming the existence of a certain limit of linear operators in a suitable subspace of X.…”
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Trichotomy for Dynamical Systems in Banach Spaces by Codruţa Stoica

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A note on nonfragmentability of Banach spaces by S. Alireza Kamel Mirmostafaee

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V-Proximal Trustworthy Banach Spaces by Messaoud Bounkhel, Mostafa Bachar

“…In a recent work (2016), the first author proved the fuzzy sum rule for the V-proximal subdifferential under some natural assumptions on an equivalent norm of the Banach spaces. In the present paper, we are going to prove that the class of Banach spaces satisfying the fuzzy sum rule is very large and contains all Lp spaces 1<p<∞ as well as the sequence spaces lp1<p<∞, the Sobolev spaces Wp,n1<p<∞, and the Schatten trace ideals Cp1<p<∞.…”
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Generalized dissipativeness in a Banach space by David R. Gurney

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Admissible Differential Bases in Banach Spaces by Evgenii I. Berezhnoj

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On the Stability Problem in Fuzzy Banach Space by G. Zamani Eskandani, P. Găvruţa, Gwang Hui Kim

“…We investigate the generalized Ulam-Hyers stability of the Cauchy functional equation and pose two open problems in fuzzy Banach space.…”
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Implicit Multifunction Theorems in Banach Spaces by Ming-ge Yang, Yi-fan Xu

“…This paper is mainly devoted to the study of implicit multifunction theorems in terms of Clarke coderivative in general Banach spaces. We present new sufficient conditions for the local metric regularity, metric regularity, Lipschitz-like property, nonemptiness, and lower semicontinuity of implicit multifunctions in general Banach spaces. …”
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Convexity of Solutions for an Iterative Equation in Banach Spaces by Xiaobing Gong

“…As corollaries we obtain results on iterative equation in Banach spaces, where .…”
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Square variation of Brownian paths in Banach spaces by Mou-Hsiung Chang

Subjects: “…Brownian motion in Banach spaces…”
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Set Contractions and KKM Mappings in Banach Spaces by A. Razani, N. Karamikabir

“…Some fixed point theorems for generalized set contraction maps and KKM type ones in Banach spaces are presented. Moreover, a new generalized set contraction is introduced. …”
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An iterative Algorithm for Hemicontractive Mappings in Banach Spaces by Youli Yu, Zhitao Wu, Pei-Xia Yang

“…We First introduce a three-step iterative algorithm for approximating the fixed points of the hemicontractive mappings in Banach spaces. Consequently, we prove the strong convergence of the proposed algorithm under some assumptions. …”
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Separation ratios of maps between Banach spaces by Rosendal, Christian

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