Research Article
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A NEW VIEW ON FIXED POINT

Year 2022, Volume: 5 Issue: 1, 36 - 42, 01.03.2022

Abstract

In this paper we examine a view on fi xed point with near soft mapping. First, we study the relationship between. soft mapping and almost
smooth mapping. Also, the notion of near soft point, near soft mappings, a different approach to the study of near soft topological spaces. Shows how
a near soft fixed point is derived from near soft topological spaces. Finally, many cases such as conservation of near soft compact topological spaces under near soft continuous mapping have been obtained.

References

  • [1] Hussain, S., Ahmad, B.: Soft Separation axioms in soft topological spaces, Hacettepe Journal of Mathematics and Statistics, 44, 2015, 559-568.
  • [2] Shabir, M., Naz, M.: On Soft Topological Spaces, Computers and Mathematics with Applications, 61, 2011, 1786-1799.
  • [3] Tasbozan, H., Icen, I., Bagirmaz, N., Ozcan, A.F.: Soft Sets and Soft Topology on Nearness approximation spaces, Filomat, 31, 2017, 4117-4125.
  • [4] Peters, J. F.: Near sets. General theory about nearness of objects, Applied Mathematical Sciences, 1, 2007, 2609-2629.
  • [5] Molodtsov, D.: Soft set theory- rst results, Computers and Mathematics with Applications, 37, 1999, 19-31.
  • [6] Cagman, N., Karakas, S., Enginoglu, S.: Soft topology, Computers and Mathematics with Applications, 62, 2011, 351-358.
  • [7] Ozturk, T.H., Yolcu, A.: On Soft Uniform Spaces, Eastern Anatolian Journal Sciences, 2016, 7-13.
  • [8] Simsekler, T., Yuksel, S.: Fuzzy soft topological spaces. Annals of Fuzzy Mathematics and Informatics, 5, 2013, 87-96.
  • [9] Aktas, H., Cagman, N.: Soft sets and soft groups, Information Sciences, 177, 2007, 2726-2735.
  • [10] Maji, P. K., Biswas, R. and Roy, A.R.: Soft set theory, Computers and Mathematics with Applications, 45, 2003, 555-562.
  • [11] Tasbozan, H. Near Soft Groupoid. Ikonion Journal of Mathematics, 2020, 2(2), 35-39.
  • [12] Tasbozan, H. Near Soft Connectedness. Afyon Kocatepe University Journal of Science and Engineering, 2020, 20(5), 815-818.
  • [13] Bagirmaz, N., Ozcan, A.F., Tasbozan, H., Icen, I. Topologies and approximation operators induced by binary relations. J. Math. Comput. Sci., 2017 7(4), 642-657.
  • [14] Wardowski, D. On a soft mapping and its xed points. Fixed Point Theory and Applications, 2013(1), 1-11.
  • [15] Demir, I., Ozbakir, O. B., Yildiz, I. A contribution to the study of soft proximity spaces. Filomat, 2017 31(7), 2023-2034.
Year 2022, Volume: 5 Issue: 1, 36 - 42, 01.03.2022

Abstract

References

  • [1] Hussain, S., Ahmad, B.: Soft Separation axioms in soft topological spaces, Hacettepe Journal of Mathematics and Statistics, 44, 2015, 559-568.
  • [2] Shabir, M., Naz, M.: On Soft Topological Spaces, Computers and Mathematics with Applications, 61, 2011, 1786-1799.
  • [3] Tasbozan, H., Icen, I., Bagirmaz, N., Ozcan, A.F.: Soft Sets and Soft Topology on Nearness approximation spaces, Filomat, 31, 2017, 4117-4125.
  • [4] Peters, J. F.: Near sets. General theory about nearness of objects, Applied Mathematical Sciences, 1, 2007, 2609-2629.
  • [5] Molodtsov, D.: Soft set theory- rst results, Computers and Mathematics with Applications, 37, 1999, 19-31.
  • [6] Cagman, N., Karakas, S., Enginoglu, S.: Soft topology, Computers and Mathematics with Applications, 62, 2011, 351-358.
  • [7] Ozturk, T.H., Yolcu, A.: On Soft Uniform Spaces, Eastern Anatolian Journal Sciences, 2016, 7-13.
  • [8] Simsekler, T., Yuksel, S.: Fuzzy soft topological spaces. Annals of Fuzzy Mathematics and Informatics, 5, 2013, 87-96.
  • [9] Aktas, H., Cagman, N.: Soft sets and soft groups, Information Sciences, 177, 2007, 2726-2735.
  • [10] Maji, P. K., Biswas, R. and Roy, A.R.: Soft set theory, Computers and Mathematics with Applications, 45, 2003, 555-562.
  • [11] Tasbozan, H. Near Soft Groupoid. Ikonion Journal of Mathematics, 2020, 2(2), 35-39.
  • [12] Tasbozan, H. Near Soft Connectedness. Afyon Kocatepe University Journal of Science and Engineering, 2020, 20(5), 815-818.
  • [13] Bagirmaz, N., Ozcan, A.F., Tasbozan, H., Icen, I. Topologies and approximation operators induced by binary relations. J. Math. Comput. Sci., 2017 7(4), 642-657.
  • [14] Wardowski, D. On a soft mapping and its xed points. Fixed Point Theory and Applications, 2013(1), 1-11.
  • [15] Demir, I., Ozbakir, O. B., Yildiz, I. A contribution to the study of soft proximity spaces. Filomat, 2017 31(7), 2023-2034.
There are 15 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Article
Authors

Hatice Taşbozan 0000-0002-6850-8658

Publication Date March 1, 2022
Submission Date December 9, 2021
Acceptance Date March 1, 2022
Published in Issue Year 2022 Volume: 5 Issue: 1

Cite

APA Taşbozan, H. (2022). A NEW VIEW ON FIXED POINT. Journal of Universal Mathematics, 5(1), 36-42. https://doi.org/10.33773/jum.1034951
AMA Taşbozan H. A NEW VIEW ON FIXED POINT. JUM. March 2022;5(1):36-42. doi:10.33773/jum.1034951
Chicago Taşbozan, Hatice. “A NEW VIEW ON FIXED POINT”. Journal of Universal Mathematics 5, no. 1 (March 2022): 36-42. https://doi.org/10.33773/jum.1034951.
EndNote Taşbozan H (March 1, 2022) A NEW VIEW ON FIXED POINT. Journal of Universal Mathematics 5 1 36–42.
IEEE H. Taşbozan, “A NEW VIEW ON FIXED POINT”, JUM, vol. 5, no. 1, pp. 36–42, 2022, doi: 10.33773/jum.1034951.
ISNAD Taşbozan, Hatice. “A NEW VIEW ON FIXED POINT”. Journal of Universal Mathematics 5/1 (March 2022), 36-42. https://doi.org/10.33773/jum.1034951.
JAMA Taşbozan H. A NEW VIEW ON FIXED POINT. JUM. 2022;5:36–42.
MLA Taşbozan, Hatice. “A NEW VIEW ON FIXED POINT”. Journal of Universal Mathematics, vol. 5, no. 1, 2022, pp. 36-42, doi:10.33773/jum.1034951.
Vancouver Taşbozan H. A NEW VIEW ON FIXED POINT. JUM. 2022;5(1):36-42.