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The aim of this paper is to present the classical sets of sequences and related matrix transformations with respect to the $b$-metric. Also, we introduce the relationships between these sets and their classical forms with corresponding properties including convergence and completeness. Further we determine the duals of the new spaces and characterize matrix transformations on them into the sets of $b$-bounded, $b$-convergent and $b$-null sequences.
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참고문헌 (25)
참고문헌 신청
M. Abbas / 2012 / Periodic points of T-Ciric generalized contrac-tion mappings in ordered metric spaces / Georgian Math. J 19(4):597~610
A. Aghajani / 2012 / Common fixed point results for four mappings satisfying almost generalized (S-T)-contractive condition in partially ordered metric spaces / Appl. Math. Comput 218(9):5665~5670
F. Basar / 2012 / Summability Theory and Its Applications, Normed and Paranormed Sequence Spaces / Bentham Science Publishers, e-books
M. Boriceanu / 2010 / Multivalued fractals in b-metric spaces / Cent. Eur. J. Math 8(2):367~377
S. Czerwik / 1998 / Nonlinear set-valued contraction mappings in b-metric spaces / Atti Sem. Mat. Fis. Univ. Modena 46(2):263~276
A. Aghajani / 2012 / Common fixed point results for four mappings satisfying almost generalized (S-T)-contractive condition in partially ordered metric spaces / Appl. Math. Comput 218(9):5665~5670
F. Basar / 2012 / Summability Theory and Its Applications, Normed and Paranormed Sequence Spaces / Bentham Science Publishers, e-books
M. Boriceanu / 2010 / Multivalued fractals in b-metric spaces / Cent. Eur. J. Math 8(2):367~377
S. Czerwik / 1998 / Nonlinear set-valued contraction mappings in b-metric spaces / Atti Sem. Mat. Fis. Univ. Modena 46(2):263~276
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