A CHARACTERIZATION OF $E$-COMPLETENESS IN VECTOR METRIC SPACES WITH AN APPLICATION IN FIXED POINT THEORY

Sushanta Kumar Mohanta; Shubha Das

A CHARACTERIZATION OF $E$-COMPLETENESS IN VECTOR METRIC SPACES WITH AN APPLICATION IN FIXED POINT THEORY

Abstract

The main purpose of this article is to introduce the notion of $d_v$-point in a vector metric space which is a generalization of the notion of $d$-point in metric spaces and extend Weston's characterization of metric completeness to vector metric spaces in terms of $d_v$-point. In fact, we have utilized the concepts of lower semicontinuity and uniform continuity in this new framework to establish the main result. Finally, we established relations among minimal points, $d_v$-points and fixed points in this new setting. As an application of this study, we obtained the analogue of Banach Contraction Principle in vector metric spaces.

Keywords

References

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Details

Primary Language

English

Subjects

Operator Algebras and Functional Analysis, Topology

Journal Section

Research Article

Authors

Sushanta Kumar Mohanta ^* This is me
0000-0002-8603-5380
India

Shubha Das This is me
0009-0000-4382-4294
India

Publication Date

May 4, 2026

Submission Date

March 22, 2025

Acceptance Date

August 14, 2025

Published in Issue

Year 2026 Volume: 16 Number: 5

IZ

https://izlik.org/JA42MU86TF

Cite

RIS / Bibtex

APA

Mohanta, S. K., & Das, S. (2026). A CHARACTERIZATION OF $E$-COMPLETENESS IN VECTOR METRIC SPACES WITH AN APPLICATION IN FIXED POINT THEORY. TWMS Journal of Applied and Engineering Mathematics, 16(5), 628-639. https://izlik.org/JA42MU86TF

AMA

1.Mohanta SK, Das S. A CHARACTERIZATION OF $E$-COMPLETENESS IN VECTOR METRIC SPACES WITH AN APPLICATION IN FIXED POINT THEORY. JAEM. 2026;16(5):628-639. https://izlik.org/JA42MU86TF

Chicago

Mohanta, Sushanta Kumar, and Shubha Das. 2026. “A CHARACTERIZATION OF $E$-COMPLETENESS IN VECTOR METRIC SPACES WITH AN APPLICATION IN FIXED POINT THEORY”. TWMS Journal of Applied and Engineering Mathematics 16 (5): 628-39. https://izlik.org/JA42MU86TF.

EndNote

Mohanta SK, Das S (May 1, 2026) A CHARACTERIZATION OF $E$-COMPLETENESS IN VECTOR METRIC SPACES WITH AN APPLICATION IN FIXED POINT THEORY. TWMS Journal of Applied and Engineering Mathematics 16 5 628–639.

IEEE

[1]S. K. Mohanta and S. Das, “A CHARACTERIZATION OF $E$-COMPLETENESS IN VECTOR METRIC SPACES WITH AN APPLICATION IN FIXED POINT THEORY”, JAEM, vol. 16, no. 5, pp. 628–639, May 2026, [Online]. Available: https://izlik.org/JA42MU86TF

ISNAD

Mohanta, Sushanta Kumar - Das, Shubha. “A CHARACTERIZATION OF $E$-COMPLETENESS IN VECTOR METRIC SPACES WITH AN APPLICATION IN FIXED POINT THEORY”. TWMS Journal of Applied and Engineering Mathematics 16/5 (May 1, 2026): 628-639. https://izlik.org/JA42MU86TF.

JAMA

1.Mohanta SK, Das S. A CHARACTERIZATION OF $E$-COMPLETENESS IN VECTOR METRIC SPACES WITH AN APPLICATION IN FIXED POINT THEORY. JAEM. 2026;16:628–639.

MLA

Mohanta, Sushanta Kumar, and Shubha Das. “A CHARACTERIZATION OF $E$-COMPLETENESS IN VECTOR METRIC SPACES WITH AN APPLICATION IN FIXED POINT THEORY”. TWMS Journal of Applied and Engineering Mathematics, vol. 16, no. 5, May 2026, pp. 628-39, https://izlik.org/JA42MU86TF.

Vancouver

1.Sushanta Kumar Mohanta, Shubha Das. A CHARACTERIZATION OF $E$-COMPLETENESS IN VECTOR METRIC SPACES WITH AN APPLICATION IN FIXED POINT THEORY. JAEM [Internet]. 2026 May 1;16(5):628-39. Available from: https://izlik.org/JA42MU86TF