Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2013, Cilt: 26 Sayı: 2, 173 - 179, 19.01.2013

Öz

Kaynakça

  • [1] Aamri,M.,Moutawakil, D.El, “Some new common fixed point theorems under strict contractive conditions”, J. Math. Anal. Appl., 270(1):181-188(2002).
  • [2] Abu-Donia,H.M.,Nase,A. A., “Common fixed point theorems in intuitionistic fuzzy metric spaces”, MohuXitongyuShuxue, 22(2):100- 106(2008). MR2428179
  • [3] Alaca, C., “A common fixed point theorem for weak compatible mappings in intuitionistic fuzzy metric spaces”, Int. J. Pure Appl. Math., 32(4):537-548(2006). MR2275086
  • [4] Alaca,C., “On fixed point theorems in intuitionistic fuzzy metric spaces”, Commun. Korean Math. Soc., 24(4):565-579(2009).
  • [5] Alaca,C.,Turkoglu,D.,Yildiz,C., “Fixed points in intuitionistic fuzzy metric spaces”, Chaos Solit. Fract., 29(5):1073-1078(2006).
  • [6] Alaca, C.,Turkoglu,D.,Yildiz,C., “Common fixed points of compatible maps in intuitionistic fuzzy metric spaces”, Southeast Asian Bull. Math., 32(1):21-33(2008).
  • [7] Atanassov, K.,“Intuitionistic fuzzy sets”, Fuzzy Sets Syst., 20(1):87-96(1986).
  • [8] Ćiŕic,LjB.,Ješić,S.N.,Ume, J.S., “The existence theorems for fixed and periodic points of nonexpansive mappings in intuitionistic fuzzy metric spaces”, Chaos Solit. Fract., 37(3):781- 791(2008).
  • [9] Çoker,D., “An introduction to intuitionistic fuzzy topological spaces”, Fuzzy Sets Syst., 88(1):81-89(1997).
  • [10] Dimri,R.C.,Gariya,N.S., “Coincidences and common fixed points in intuitionistic fuzzy metric spaces”, Indian J. Math., 52(3):479- 490(2010).
  • [11] George,A.,Veeramani,P., “On some results in fuzzy metric spaces”, Fuzzy Sets Syst., 64(3):395-399(1994).
  • [12] Huang,X., Zhu,C.,Wen, Xi, “Common fixed point theorems for families of compatible mappings in intuitionistic fuzzy metric spaces”, Ann. Univ. Ferrara Sez. VII Sci. Mat., 56(2):305-326(2010).
  • [13] Imdad, M.,Ali,J.,Tanveer,M., “Coincidence and common fixed point theorems for nonlinear contractions in Menger PM spaces”, Chaos Solit. Fract., 42(5):3121-3129(2009).
  • [14] Kramosil, I.,Michálek, J., “Fuzzy metrics and statistical metric spaces”, Kybernetika (Prague), 11(5):336-344(1975).
  • [15] Kumar, S., “Common fixed point theorems in intuitionistic fuzzy metric spaces using property (E.A)”, J. Indian Math. Soc. (N.S.), 76(1- 4):93-104(2009).
  • [16] Kumar,S.,Kutukcu, S., “Fixed points of expansion maps in intuitionistic fuzzy metric spaces”, Sci. Stud. Res. Ser. Math. Inform., 20(1):119-132(2010).
  • [17] Kumar,S.,Vats, R.K., “Common fixed points for weakly compatible maps in intuitionistic fuzzy metric spaces”, Adv. Fuzzy Math., 4(1):9- 22(2009).
  • [18] Kutukcu, S.,Yildiz,C.,Turkoglu, D., “Fixed points of contractive mappings in intuitionistic fuzzy metric spaces”, J. Comput. Anal. Appl., 9(2):181-193(2007).
  • [19] Manro,S.,Bhatia,S.S.,Kumar, S., “Common fixed point theorem for weakly compatible maps satisfying (E.A.) property in intuitionistic fuzzy metric spaces”, Punjab Univ. J. Math. (Lahore), 42:51-56(2010).
  • [20] Menger,K., “Statistical metrics”, Proc. Nat. Acad. Sci. U.S.A., 28:535-537(1942). [21] Mondal,T.K.,Samanta,S. K., “On intuitionistic gradation of openness”, Fuzzy Sets Syst., 131(2):323-336(2002).
  • [22] Pant, B.D.,Kumar,S.,Chauhan, S., “Common fixed point of weakly compatible maps on intuitionistic fuzzy metric spaces”, J. Adv. Stud. Topol., 1(1):41-49(2010).
  • [23] Park, J. H., “Intuitionistic fuzzy metric spaces”, Chaos Solit. Fract., 22(5):1039-1046(2004). [24] Park,J. S., “Some results on intuitionistic fuzzy metric spaces”, Far East J. Math. Sci. (FJMS), 33(1):65-75(2009).
  • [25] Pathak, H. K.,Lόpez,R.R.,Verma, R.K., “A common fixed point theorem using implicit relation and property (E.A) in metric spaces”, Filomat, 21(2):211-234(2007).
  • [26] Saadati, R.,Park,J. H., “On the intuitionistic fuzzy topological spaces”, Chaos, Solit. Fract., 27(2):331-344(2006).
  • [27] Schweizer,B.,Sklar, A., “Probabilistic Metric Spaces”, North-Holland Series in Probability and Applied Mathematics”,North-Holland Publishing Co., New York, ISBN: 0-444- 00666-4(1983).
  • [28] Sedghi,S.,Shobe,N.,Aliouche, A., “Common fixed point theorems in intuitionistic fuzzy metric spaces through conditions of integral type”, Appl. Math. Inf. Sci., 2(1):61-82(2008).
  • [29] Sharma,S.,Deshpande,B., “Common fixed point theorems for finite number of mappings without continuity and compatibility on intuitionistic fuzzy metric spaces”, Chaos Solit. Fract., 40(5):2242-2256(2009).
  • [30] Sharma,S.,Kutukcu,S.,Rathore, R.S., “Common fixed point for multivalued mappings in intuitionistic fuzzy metric spaces”, Commun. Korean Math. Soc., 22(3):391-399(2007).
  • [31] Sintunavarat,W.,Kumam,P., “Common fixed point theorems for a pair of weakly compatible mappings in fuzzy metric spaces”, J. Appl. Math., Vol. 2011, Article ID 637958, 14 pages, (2011)
  • [32] Sintunavarat,W., Kumam, P., “Common fixed points for -weakly commuting in fuzzy metric spaces”, Ann. Univ. Ferrara Sez. VII Sci. Mat., 58(2):389-406(2012).
  • [33] Tanveer,M.,Imdad,M.,Gopal,D., Kumar, D., “Common fixed point theorems in modified intuitionistic fuzzy metric spaces with common property (E.A)”, Fixed Point Theory Appl., 2012, 2012:36, 17 pages.
  • [34] Turkoglu,D.,Alaca, C., Cho, Y.J.,Yildiz,C., “Common fixed point theorems in intuitionistic fuzzy metric spaces”, J. Appl. Math. Comput., 22(1-2):411-424(2006).
  • [35] Turkoglu,D.,Alaca,C.,Yildiz,C., “Compatible maps and compatible maps of type and in intuitionistic fuzzy metric spaces”, Demonstratio Math., 39(3):671-684(2006).
  • [36] Zadeh, L.A., “Fuzzy sets”, Inform. Control, 8:338-353(1965)

Fixed Point Theorems for Weakly Compatible Mappings in Intuitionistic Fuzzy Metric Spaces

Yıl 2013, Cilt: 26 Sayı: 2, 173 - 179, 19.01.2013

Öz

Sintunavarat and Kumam [Common fixed point theorems for a pair of weakly compatible mappings in fuzzy metric spaces, J. Appl. Math. vol. 2011, Article ID 637958, 14 pages, 2011] defined the notion of (CLRg)property which is more general than (E.A) property. The aim of this paper is to prove a common fixed point
theorem for a pair of weakly compatible mappings in intuitionistic fuzzy metric spaces employing (CLRg)property. Our results improve and generalize several previously known fixed point theorems of the existingliterature.

Kaynakça

  • [1] Aamri,M.,Moutawakil, D.El, “Some new common fixed point theorems under strict contractive conditions”, J. Math. Anal. Appl., 270(1):181-188(2002).
  • [2] Abu-Donia,H.M.,Nase,A. A., “Common fixed point theorems in intuitionistic fuzzy metric spaces”, MohuXitongyuShuxue, 22(2):100- 106(2008). MR2428179
  • [3] Alaca, C., “A common fixed point theorem for weak compatible mappings in intuitionistic fuzzy metric spaces”, Int. J. Pure Appl. Math., 32(4):537-548(2006). MR2275086
  • [4] Alaca,C., “On fixed point theorems in intuitionistic fuzzy metric spaces”, Commun. Korean Math. Soc., 24(4):565-579(2009).
  • [5] Alaca,C.,Turkoglu,D.,Yildiz,C., “Fixed points in intuitionistic fuzzy metric spaces”, Chaos Solit. Fract., 29(5):1073-1078(2006).
  • [6] Alaca, C.,Turkoglu,D.,Yildiz,C., “Common fixed points of compatible maps in intuitionistic fuzzy metric spaces”, Southeast Asian Bull. Math., 32(1):21-33(2008).
  • [7] Atanassov, K.,“Intuitionistic fuzzy sets”, Fuzzy Sets Syst., 20(1):87-96(1986).
  • [8] Ćiŕic,LjB.,Ješić,S.N.,Ume, J.S., “The existence theorems for fixed and periodic points of nonexpansive mappings in intuitionistic fuzzy metric spaces”, Chaos Solit. Fract., 37(3):781- 791(2008).
  • [9] Çoker,D., “An introduction to intuitionistic fuzzy topological spaces”, Fuzzy Sets Syst., 88(1):81-89(1997).
  • [10] Dimri,R.C.,Gariya,N.S., “Coincidences and common fixed points in intuitionistic fuzzy metric spaces”, Indian J. Math., 52(3):479- 490(2010).
  • [11] George,A.,Veeramani,P., “On some results in fuzzy metric spaces”, Fuzzy Sets Syst., 64(3):395-399(1994).
  • [12] Huang,X., Zhu,C.,Wen, Xi, “Common fixed point theorems for families of compatible mappings in intuitionistic fuzzy metric spaces”, Ann. Univ. Ferrara Sez. VII Sci. Mat., 56(2):305-326(2010).
  • [13] Imdad, M.,Ali,J.,Tanveer,M., “Coincidence and common fixed point theorems for nonlinear contractions in Menger PM spaces”, Chaos Solit. Fract., 42(5):3121-3129(2009).
  • [14] Kramosil, I.,Michálek, J., “Fuzzy metrics and statistical metric spaces”, Kybernetika (Prague), 11(5):336-344(1975).
  • [15] Kumar, S., “Common fixed point theorems in intuitionistic fuzzy metric spaces using property (E.A)”, J. Indian Math. Soc. (N.S.), 76(1- 4):93-104(2009).
  • [16] Kumar,S.,Kutukcu, S., “Fixed points of expansion maps in intuitionistic fuzzy metric spaces”, Sci. Stud. Res. Ser. Math. Inform., 20(1):119-132(2010).
  • [17] Kumar,S.,Vats, R.K., “Common fixed points for weakly compatible maps in intuitionistic fuzzy metric spaces”, Adv. Fuzzy Math., 4(1):9- 22(2009).
  • [18] Kutukcu, S.,Yildiz,C.,Turkoglu, D., “Fixed points of contractive mappings in intuitionistic fuzzy metric spaces”, J. Comput. Anal. Appl., 9(2):181-193(2007).
  • [19] Manro,S.,Bhatia,S.S.,Kumar, S., “Common fixed point theorem for weakly compatible maps satisfying (E.A.) property in intuitionistic fuzzy metric spaces”, Punjab Univ. J. Math. (Lahore), 42:51-56(2010).
  • [20] Menger,K., “Statistical metrics”, Proc. Nat. Acad. Sci. U.S.A., 28:535-537(1942). [21] Mondal,T.K.,Samanta,S. K., “On intuitionistic gradation of openness”, Fuzzy Sets Syst., 131(2):323-336(2002).
  • [22] Pant, B.D.,Kumar,S.,Chauhan, S., “Common fixed point of weakly compatible maps on intuitionistic fuzzy metric spaces”, J. Adv. Stud. Topol., 1(1):41-49(2010).
  • [23] Park, J. H., “Intuitionistic fuzzy metric spaces”, Chaos Solit. Fract., 22(5):1039-1046(2004). [24] Park,J. S., “Some results on intuitionistic fuzzy metric spaces”, Far East J. Math. Sci. (FJMS), 33(1):65-75(2009).
  • [25] Pathak, H. K.,Lόpez,R.R.,Verma, R.K., “A common fixed point theorem using implicit relation and property (E.A) in metric spaces”, Filomat, 21(2):211-234(2007).
  • [26] Saadati, R.,Park,J. H., “On the intuitionistic fuzzy topological spaces”, Chaos, Solit. Fract., 27(2):331-344(2006).
  • [27] Schweizer,B.,Sklar, A., “Probabilistic Metric Spaces”, North-Holland Series in Probability and Applied Mathematics”,North-Holland Publishing Co., New York, ISBN: 0-444- 00666-4(1983).
  • [28] Sedghi,S.,Shobe,N.,Aliouche, A., “Common fixed point theorems in intuitionistic fuzzy metric spaces through conditions of integral type”, Appl. Math. Inf. Sci., 2(1):61-82(2008).
  • [29] Sharma,S.,Deshpande,B., “Common fixed point theorems for finite number of mappings without continuity and compatibility on intuitionistic fuzzy metric spaces”, Chaos Solit. Fract., 40(5):2242-2256(2009).
  • [30] Sharma,S.,Kutukcu,S.,Rathore, R.S., “Common fixed point for multivalued mappings in intuitionistic fuzzy metric spaces”, Commun. Korean Math. Soc., 22(3):391-399(2007).
  • [31] Sintunavarat,W.,Kumam,P., “Common fixed point theorems for a pair of weakly compatible mappings in fuzzy metric spaces”, J. Appl. Math., Vol. 2011, Article ID 637958, 14 pages, (2011)
  • [32] Sintunavarat,W., Kumam, P., “Common fixed points for -weakly commuting in fuzzy metric spaces”, Ann. Univ. Ferrara Sez. VII Sci. Mat., 58(2):389-406(2012).
  • [33] Tanveer,M.,Imdad,M.,Gopal,D., Kumar, D., “Common fixed point theorems in modified intuitionistic fuzzy metric spaces with common property (E.A)”, Fixed Point Theory Appl., 2012, 2012:36, 17 pages.
  • [34] Turkoglu,D.,Alaca, C., Cho, Y.J.,Yildiz,C., “Common fixed point theorems in intuitionistic fuzzy metric spaces”, J. Appl. Math. Comput., 22(1-2):411-424(2006).
  • [35] Turkoglu,D.,Alaca,C.,Yildiz,C., “Compatible maps and compatible maps of type and in intuitionistic fuzzy metric spaces”, Demonstratio Math., 39(3):671-684(2006).
  • [36] Zadeh, L.A., “Fuzzy sets”, Inform. Control, 8:338-353(1965)
Toplam 34 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Mathematics
Yazarlar

Sunny Chauhan

B. Pant Bu kişi benim

Sandeep Bhatt Bu kişi benim

Yayımlanma Tarihi 19 Ocak 2013
Yayımlandığı Sayı Yıl 2013 Cilt: 26 Sayı: 2

Kaynak Göster

APA Chauhan, S., Pant, B., & Bhatt, S. (2013). Fixed Point Theorems for Weakly Compatible Mappings in Intuitionistic Fuzzy Metric Spaces. Gazi University Journal of Science, 26(2), 173-179.
AMA Chauhan S, Pant B, Bhatt S. Fixed Point Theorems for Weakly Compatible Mappings in Intuitionistic Fuzzy Metric Spaces. Gazi University Journal of Science. Temmuz 2013;26(2):173-179.
Chicago Chauhan, Sunny, B. Pant, ve Sandeep Bhatt. “Fixed Point Theorems for Weakly Compatible Mappings in Intuitionistic Fuzzy Metric Spaces”. Gazi University Journal of Science 26, sy. 2 (Temmuz 2013): 173-79.
EndNote Chauhan S, Pant B, Bhatt S (01 Temmuz 2013) Fixed Point Theorems for Weakly Compatible Mappings in Intuitionistic Fuzzy Metric Spaces. Gazi University Journal of Science 26 2 173–179.
IEEE S. Chauhan, B. Pant, ve S. Bhatt, “Fixed Point Theorems for Weakly Compatible Mappings in Intuitionistic Fuzzy Metric Spaces”, Gazi University Journal of Science, c. 26, sy. 2, ss. 173–179, 2013.
ISNAD Chauhan, Sunny vd. “Fixed Point Theorems for Weakly Compatible Mappings in Intuitionistic Fuzzy Metric Spaces”. Gazi University Journal of Science 26/2 (Temmuz 2013), 173-179.
JAMA Chauhan S, Pant B, Bhatt S. Fixed Point Theorems for Weakly Compatible Mappings in Intuitionistic Fuzzy Metric Spaces. Gazi University Journal of Science. 2013;26:173–179.
MLA Chauhan, Sunny vd. “Fixed Point Theorems for Weakly Compatible Mappings in Intuitionistic Fuzzy Metric Spaces”. Gazi University Journal of Science, c. 26, sy. 2, 2013, ss. 173-9.
Vancouver Chauhan S, Pant B, Bhatt S. Fixed Point Theorems for Weakly Compatible Mappings in Intuitionistic Fuzzy Metric Spaces. Gazi University Journal of Science. 2013;26(2):173-9.