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    Some Fixed-Point Results for a -Weak Contraction in -Metric Spaces by Wasfi Shatanawi, Mihai Postolache

    Published 2012-01-01
    “…We introduce the concepts of a -weak contraction mapping of types and and we establish some fixed point theorems for a -weak contraction mapping of types and in complete -metric spaces. Our results generalize several well-known comparable results in the literature.…”
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  4. 1284

    A Theorem of Nehari Type on Weighted Bergman Spaces of the Unit Ball by Yufeng Lu, Jun Yang

    Published 2008-01-01
    “…This paper shows that if S is a bounded linear operator acting on the weighted Bergman spaces Aα2 on the unit ball in ℂn such that STzi=Tz¯iS (i=1,…,n), where Tzi=zif and Tz¯i=P(z¯if); and where P is the weighted Bergman projection, then S must be a Hankel operator.…”
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  5. 1285

    Isomorphic Universality and the Number of Pairwise Nonisomorphic Models in the Class of Banach Spaces by Mirna Džamonja

    Published 2014-01-01
    “…We develop the framework of natural spaces to study isomorphic embeddings of Banach spaces. …”
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    The Design Idea and its Application in the Inner Space (Refreshments Shops as Sample) by Naderah Abdul Razzaq Ghazal

    Published 2021-12-01
    “…The research problem ‘’ does the design idea and its application in the inner space (Refreshments Shops) as a sample have sensible and perception values participate in achieving connection with the recipient? …”
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  10. 1290

    Cesàro Summable Sequence Spaces over the Non-Newtonian Complex Field by Uğur Kadak

    Published 2016-01-01
    “…The spaces ω0p, ωp, and ω∞p can be considered the sets of all sequences that are strongly summable to zero, strongly summable, and bounded, by the Cesàro method of order 1 with index p. …”
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  11. 1291

    Bregman f-Projection Operator with Applications to Variational Inequalities in Banach Spaces by Chin-Tzong Pang, Eskandar Naraghirad, Ching-Feng Wen

    Published 2014-01-01
    “…Using Bregman functions, we introduce the new concept of Bregman generalized f-projection operator ProjCf, g:E*→C, where E is a reflexive Banach space with dual space E*; f: E→ℝ∪+∞ is a proper, convex, lower semicontinuous and bounded from below function; g: E→ℝ is a strictly convex and Gâteaux differentiable function; and C is a nonempty, closed, and convex subset of E. …”
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  12. 1292

    Characterizations of Integral Type for Weighted Classes of Analytic Banach Function Spaces by Amnah E. Shammaky, A. El-Sayed Ahmed

    Published 2022-01-01
    “…The aim of this study is to give some new definitions of Banach spaces of holomorphic functions. Some holomorphic characterizations of integral type for some classes of Banach spaces of holomorphic functions are established in the unit disc U.…”
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    On-Board Switching for Space-Integrated-Ground Information Network: Progress and Trends by Hao WU, Shuai WANG, Xiance DENG, Peilong LIU, Kai LIU, Jian YAN

    Published 2021-06-01
    “…Considering the requirements of the space-integrated-ground information network, the technologies of on-board channelized switching and the technologies of on-board packet switching were surveyed.Among, the discussed channelized switching technologies include fl exible digital channelized switching and microwave photonic frequency conversion and switching, while the discussed packet switching technologies mainly include software-defi ned satellite network.Considering the future research directions of space networking and switching, the trends of on-board switching were discussed in terms of system capacity, reliability, effi ciency, and quality of service, which provided a reference for the long-term planning of the space-integrated-ground information network.…”
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  16. 1296

    Existence and Boundedness of Solutions for Nonlinear Volterra Difference Equations in Banach Spaces by Rigoberto Medina

    Published 2016-01-01
    “…We consider a class of nonlinear discrete-time Volterra equations in Banach spaces. Estimates for the norm of operator-valued functions and the resolvents of quasi-nilpotent operators are used to find sufficient conditions that all solutions of such equations are elements of an appropriate Banach space. …”
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    A Complete Normed Space of a Class of Guage Integrable Functions by Yassin Alzubaidi

    Published 2022-01-01
    “…The space of all gauge integrable functions equipped with the Alexiewicz norm is not a Banach space. …”
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  20. 1300

    The Solutions of Mixed Monotone Fredholm-Type Integral Equations in Banach Spaces by Hua Su

    Published 2013-01-01
    “…By introducing new definitions of ϕ convex and -φ concave quasioperator and v0 quasilower and u0 quasiupper, by means of the monotone iterative techniques without any compactness conditions, we obtain the iterative unique solution of nonlinear mixed monotone Fredholm-type integral equations in Banach spaces. Our results are even new to ϕ convex and -φ concave quasi operator, and then we apply these results to the two-point boundary value problem of second-order nonlinear ordinary differential equations in the ordered Banach spaces.…”
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