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On Contructing Complete A-Metric Spaces

Year 2022, Volume: 10 Issue: 1, 30 - 33, 15.04.2022

Abstract

The A-metric space has been developed on the idea of measuring simultaneously the distance between n points is the latest generalization of the usual metric spaces in the literature. Our main motivation is to answer the question “how to get another a new complete A-metric space from a complete A-metric space ?”

References

  • [1] M. Abbas, B. Ali and Y. I. Suleiman, Generalized coupled common fixed point results in partially ordered A-metric spaces, Fixed Point Theory and Applications, Vol: 64(2015) (2015).
  • [2] F. F. Bonsall, Lectures on Some Fixed-point Theorems of Functional Analysis, Bombay: Tata Institute of Fundamental Research (1962).
  • [3] V. W. Bryant, A remark on a fixed-point theorem for iterated mappings, American Mathematical Monthly, Vol: 75 (1968), 399-400.
  • [4] R. E. Edwards, Functional Analysis; Theory and Applications, New York: Holt, Rinehart and Winston (1965).
  • [5] Y. U. O. Gaba, Related G-metrics and Fixed Points, Analele Universit˘atii de Vest, Timis¸oara Seria Matematic˘a – Informatic˘a, Vol: LVI(1) (2018), 64-72.
  • [6] A. Kolmogorov, S. V. Fomin, Introduction to Functional Analysis 1, New York: Graylock Press (1957).
  • [7] Z. Mustafa, B. Sims, A new approach to generalized metric spaces, Journal of Nonlinear and Convex Analysis, Vol:2 (2006), 289-297.
  • [8] M. Ughade, D. Turkoglu, S. R. Singh and R. D. Daheriya, Some Fixed Point Theorems in Ab-Metrıc Space, British Journal of Mathematics and Computer Science, Vol: 19(6) (2016), 1-24.
Year 2022, Volume: 10 Issue: 1, 30 - 33, 15.04.2022

Abstract

References

  • [1] M. Abbas, B. Ali and Y. I. Suleiman, Generalized coupled common fixed point results in partially ordered A-metric spaces, Fixed Point Theory and Applications, Vol: 64(2015) (2015).
  • [2] F. F. Bonsall, Lectures on Some Fixed-point Theorems of Functional Analysis, Bombay: Tata Institute of Fundamental Research (1962).
  • [3] V. W. Bryant, A remark on a fixed-point theorem for iterated mappings, American Mathematical Monthly, Vol: 75 (1968), 399-400.
  • [4] R. E. Edwards, Functional Analysis; Theory and Applications, New York: Holt, Rinehart and Winston (1965).
  • [5] Y. U. O. Gaba, Related G-metrics and Fixed Points, Analele Universit˘atii de Vest, Timis¸oara Seria Matematic˘a – Informatic˘a, Vol: LVI(1) (2018), 64-72.
  • [6] A. Kolmogorov, S. V. Fomin, Introduction to Functional Analysis 1, New York: Graylock Press (1957).
  • [7] Z. Mustafa, B. Sims, A new approach to generalized metric spaces, Journal of Nonlinear and Convex Analysis, Vol:2 (2006), 289-297.
  • [8] M. Ughade, D. Turkoglu, S. R. Singh and R. D. Daheriya, Some Fixed Point Theorems in Ab-Metrıc Space, British Journal of Mathematics and Computer Science, Vol: 19(6) (2016), 1-24.
There are 8 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Temel Ermiş

Publication Date April 15, 2022
Submission Date October 29, 2021
Acceptance Date April 20, 2022
Published in Issue Year 2022 Volume: 10 Issue: 1

Cite

APA Ermiş, T. (2022). On Contructing Complete A-Metric Spaces. Konuralp Journal of Mathematics, 10(1), 30-33.
AMA Ermiş T. On Contructing Complete A-Metric Spaces. Konuralp J. Math. April 2022;10(1):30-33.
Chicago Ermiş, Temel. “On Contructing Complete A-Metric Spaces”. Konuralp Journal of Mathematics 10, no. 1 (April 2022): 30-33.
EndNote Ermiş T (April 1, 2022) On Contructing Complete A-Metric Spaces. Konuralp Journal of Mathematics 10 1 30–33.
IEEE T. Ermiş, “On Contructing Complete A-Metric Spaces”, Konuralp J. Math., vol. 10, no. 1, pp. 30–33, 2022.
ISNAD Ermiş, Temel. “On Contructing Complete A-Metric Spaces”. Konuralp Journal of Mathematics 10/1 (April 2022), 30-33.
JAMA Ermiş T. On Contructing Complete A-Metric Spaces. Konuralp J. Math. 2022;10:30–33.
MLA Ermiş, Temel. “On Contructing Complete A-Metric Spaces”. Konuralp Journal of Mathematics, vol. 10, no. 1, 2022, pp. 30-33.
Vancouver Ermiş T. On Contructing Complete A-Metric Spaces. Konuralp J. Math. 2022;10(1):30-3.
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