• Title/Summary/Keyword: Sequence spaces

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APPROXIMATING COMMON FIXED POINTS OF A SEQUENCE OF ASYMPTOTICALLY QUASI-f-g-NONEXPANSIVE MAPPINGS IN CONVEX NORMED VECTOR SPACES

  • Lee, Byung-Soo
    • The Pure and Applied Mathematics
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    • v.20 no.1
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    • pp.51-57
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    • 2013
  • In this paper, we introduce asymptotically quasi-$f-g$-nonexpansive mappings in convex normed vector spaces and consider approximating common fixed points of a sequence of asymptotically quasi-$f-g$-nonexpansive mappings in convex normed vector spaces.

Paranormed I-convergent Double Sequence Spaces Associated with Multiplier Sequences

  • Tripathy, Binod Chandra;Sen, Mausumi
    • Kyungpook Mathematical Journal
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    • v.54 no.2
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    • pp.321-332
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    • 2014
  • In this article we introduce different types of multiplier I-convergent double sequence spaces. We study their different algebraic and topological properties like solidity, symmetricity, completeness etc. The decomposition theorem is established and some inclusion results are proved.

A NEW PARANORMED SERIES SPACE USING EULER TOTIENT MEANS AND SOME MATRIX TRANSFORMATIONS

  • Gulec, G. Canan Hazar;Ilkhan, Merve
    • Korean Journal of Mathematics
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    • v.28 no.2
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    • pp.205-221
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    • 2020
  • Paranormed spaces are important as a generalization of the normed spaces in terms of having more general properties. The aim of this study is to introduce a new paranormed space |𝜙z|(p) over the paranormed space ℓ(p) using Euler totient means, where p = (pk) is a bounded sequence of positive real numbers. Besides this, we investigate topological properties and compute the α-, β-, and γ duals of this paranormed space. Finally, we characterize the classes of infinite matrices (|𝜙z|(p), λ) and (λ, |𝜙z|(p)), where λ is any given sequence space.