FIXED POINT RESULTS FROM SOFT METRIC SPACES AND SOFT QUASI METRIC SPACES TO SOFT G-METRIC SPACES

GÜNGÖR, Nurcan BİLGİLİ

FIXED POINT RESULTS FROM SOFT METRIC SPACES AND SOFT QUASI METRIC SPACES TO SOFT G-METRIC SPACES

Nurcan BİLGİLİ GÜNGÖR (Amasya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü, Amasya, Türkiye)

TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics

3 1

Yıl: 2020 Cilt: 10 Sayı: 1 Sayfa Aralığı: 118 - 127 Metin Dili: İngilizce İndeks Tarihi: 06-05-2021

FIXED POINT RESULTS FROM SOFT METRIC SPACES AND SOFT QUASI METRIC SPACES TO SOFT G-METRIC SPACES

Öz:

In this paper, soft quasi-metric spaces by means of soft elements are de-scribed. Also the presentation of softG-metric spaces and the existing fixed point resultsof contractive mappings defined on this kind of spaces are examined. Especially, it isshown that the most gotten fixed point theorems on this kind of spaces can be obtaineddirectly from fixed point theorems on soft metric or soft quasi-metric spaces.

Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

[1] Ali, M.I., Feng,F., Liu,X., Min,W.K. and Shabir,M., (2003), On some new operations in soft set theory, Computer and Mathematics with Application, 57, (9), 1547- 1553.
[2] Atanassov, K.,(1986), Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 8796.
[3] Cagman, N. and Enginoglu, S.,(2010), Soft set theory and unit-int decision making, European J. Oper. Res., 207, 848-855.
[4] Cetkin, V.,Aygunoglu, A. and Aygun, H.(2016), A new approach in handling soft decision making problems, J. Nonlinear Sci. Appl., 9, 231-239.
[5] Das, S. and Samanta, S. K.,(2012), Soft real set, soft real number and their properties, J. Fuzzy Math., 20, (3), 551-576.
[6] Das, S. and Samanta, S. K, (2013), On soft metric spaces, J. Fuzzy Math., 21 (3), 707-734.
[7] Gau, W.L. and Buehrer, D.J.,(1993) Vague sets, IEEE Transactions on Systems, Man and Cybernetics, 23/2, 610614.
[8] Gorzalzany, M.B.,(1987) A method of inference in approximate reasoning based on interval-valued fuzzy sets, Fuzzy Sets and Systems, 21, 117.
[9] Guler, A. C., Yildirim, E. D. and Ozbakir, O. B.,(2016) A Fixed point theorem on soft G-metric spaces, J. Nonlinear Sci. Appl., 9, 885-894.
[10] Guler, A. C.and Yildirim, E. D.,(2016), A note on soft G-metric spaces about xed point theorems, Annals of Fuzzy Mathematics and Informatics, Volume 12, No. 5, 691-701.
[11] Jleli, M. and Samet, B.,(2012), Remarks on G-metric spaces and xed point theorems, Fixed Point Theory and Applications, 2012:210.
[12] Maji, P.K., Roy, A.R. and Biswas,R., (2002), An application of soft sets in a decision making problem, Computers and Mathematics with Applications, 44, 10771083.
[13] Molodtsov, D.,(1999), Soft set theory rst results, Computers and Mathematics with Applications, 37, 1931.
[14] Molodtsov,D.,(2004), The Theory of Soft Sets, URSS Publishers, Moscow, (in Russian).
[15] Mustafa, Z., (2005), A new structure for generalized metric spaces-with applications to xed point theory, PhD thesis, the University of Newcastle, Australia
[16] Mustafa, Z. and Sims, B.,(2006) A new approach to generalized metric spaces, J. Nonlinear Convex Anal., 7(2), 289-297.
[17] Pawlak, Z.,(1982), Rough sets, International Journal of Information and Computer Sciences, 11, 341- 356.
[18] Shabir M. and Naz,M.,(2011), On soft topological spaces, Comput. Math. Appl., 61 (7), 1786-1799.
[19] Wardowski, D.,(2013), On A Soft Mapping And Its Fixed Points, Fixed Point Theory Appl., 11 pages.
[20] Zadeh, L.A.,(1965), Fuzzy Sets, Information and Control, 8, 338353.
[21] Zorlutuna, I., Akdag, M., Min, W. K. and Atmaca, S.,(2012) Remarks On Soft Topological Spaces, Ann. Fuzzy Math. Inform., 3 , 171-185.

APA	GÜNGÖR N (2020). FIXED POINT RESULTS FROM SOFT METRIC SPACES AND SOFT QUASI METRIC SPACES TO SOFT G-METRIC SPACES. , 118 - 127.
Chicago	GÜNGÖR Nurcan BİLGİLİ FIXED POINT RESULTS FROM SOFT METRIC SPACES AND SOFT QUASI METRIC SPACES TO SOFT G-METRIC SPACES. (2020): 118 - 127.
MLA	GÜNGÖR Nurcan BİLGİLİ FIXED POINT RESULTS FROM SOFT METRIC SPACES AND SOFT QUASI METRIC SPACES TO SOFT G-METRIC SPACES. , 2020, ss.118 - 127.
AMA	GÜNGÖR N FIXED POINT RESULTS FROM SOFT METRIC SPACES AND SOFT QUASI METRIC SPACES TO SOFT G-METRIC SPACES. . 2020; 118 - 127.
Vancouver	GÜNGÖR N FIXED POINT RESULTS FROM SOFT METRIC SPACES AND SOFT QUASI METRIC SPACES TO SOFT G-METRIC SPACES. . 2020; 118 - 127.
IEEE	GÜNGÖR N "FIXED POINT RESULTS FROM SOFT METRIC SPACES AND SOFT QUASI METRIC SPACES TO SOFT G-METRIC SPACES." , ss.118 - 127, 2020.
ISNAD	GÜNGÖR, Nurcan BİLGİLİ. "FIXED POINT RESULTS FROM SOFT METRIC SPACES AND SOFT QUASI METRIC SPACES TO SOFT G-METRIC SPACES". (2020), 118-127.

APA	GÜNGÖR N (2020). FIXED POINT RESULTS FROM SOFT METRIC SPACES AND SOFT QUASI METRIC SPACES TO SOFT G-METRIC SPACES. TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics, 10(1), 118 - 127.
Chicago	GÜNGÖR Nurcan BİLGİLİ FIXED POINT RESULTS FROM SOFT METRIC SPACES AND SOFT QUASI METRIC SPACES TO SOFT G-METRIC SPACES. TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics 10, no.1 (2020): 118 - 127.
MLA	GÜNGÖR Nurcan BİLGİLİ FIXED POINT RESULTS FROM SOFT METRIC SPACES AND SOFT QUASI METRIC SPACES TO SOFT G-METRIC SPACES. TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics, vol.10, no.1, 2020, ss.118 - 127.
AMA	GÜNGÖR N FIXED POINT RESULTS FROM SOFT METRIC SPACES AND SOFT QUASI METRIC SPACES TO SOFT G-METRIC SPACES. TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics. 2020; 10(1): 118 - 127.
Vancouver	GÜNGÖR N FIXED POINT RESULTS FROM SOFT METRIC SPACES AND SOFT QUASI METRIC SPACES TO SOFT G-METRIC SPACES. TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics. 2020; 10(1): 118 - 127.
IEEE	GÜNGÖR N "FIXED POINT RESULTS FROM SOFT METRIC SPACES AND SOFT QUASI METRIC SPACES TO SOFT G-METRIC SPACES." TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics, 10, ss.118 - 127, 2020.
ISNAD	GÜNGÖR, Nurcan BİLGİLİ. "FIXED POINT RESULTS FROM SOFT METRIC SPACES AND SOFT QUASI METRIC SPACES TO SOFT G-METRIC SPACES". TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics 10/1 (2020), 118-127.