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Khan VA, Arshad M, Alam M. Riesz ideal convergence in neutrosophic normed spaces. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2023. [DOI: 10.3233/jifs-224035] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/23/2023]
Abstract
In this paper, we define concept of ideal(I) convergent sequences as a domain of regular Riesz triangular matrix and also using neutrosophic normed space. In neutrosophic normed spaces, we describe the idea of a generalization of the Riesz ideal convergence and the Riesz Cauchy sequence, and we also show certain aspects of these ideas. Finally, we define the concept of I ∗-convergence in neutrosophic normed space and show that it is related to Riesz I-convergence in neutrosophic normed space. Moreover, we clearly show some results related to these theories and provide counterexamples.
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Affiliation(s)
- Vakeel A. Khan
- Department of Mathematics, Aligarh Muslim University, Aligarh, India
| | - Mohammad Arshad
- Department of Mathematics, Aligarh Muslim University, Aligarh, India
| | - Masood Alam
- Department of Mathematics and IT Center for Preparatory Studies, Sultan Qaboos University, Sultanate of Oman
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Grbić T, Štajner-Papuga I, Štrboja M. An approach to pseudo-integration of set-valued functions. Inf Sci (N Y) 2011. [DOI: 10.1016/j.ins.2011.01.038] [Citation(s) in RCA: 35] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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