Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2013, Cilt: 26 Sayı: 1, 47 - 50, 31.03.2013

Öz

Kaynakça

  • [1] S. Banach, “Sur les operations dans les ensembles abstraits et leur application aux equations integrals”, Fund. Math., 3:133-181 (1922).
  • [2] R. C. Dimri, B. D. Pant and S. Kumar, “Fixed point of a pair of non-surjective expansion mappings in Menger spaces”, Stud. Cerc. Sţ. Ser. Matematica Universitatea Bacău, 18:55- 62(2008).
  • [3] M. Frechet, “Sur quelques points du calculfonctionnel”, Rendic. Circ. Mat. Palermo, 22:1-74(1906).
  • [4] R. K. Gujetiya, V. K. Gupta, M. S. Chauhan and O. Sikhwal, “Common fixed point theorem for expansive maps in Menger spaces through compatibility”, Int. Math. Forum, 5(63):3147- 3158(2010).
  • [5] G. Jungck, “Compatible mappings and common fixed points”, Int. J. Math. Math. Sci., 9(4):771-779(1986).
  • [6] I. Kubiaczyk and S. Sharma, “Some common fixed point theorems in Menger space under strict contractive conditions”, Southeast Asian Bull. Math., 32:117- 124(2008).
  • [7] S. Kumar, “Some fixed point theorems in Menger spaces and applications”, Ph.D. Dissertation, Kumaun Univ., Nainital (India), (2008).
  • [8] S. Kumar, R. Chugh and R. K. Vats, “Fixed point theorems for expansion mappings theorems in various spaces”, Stud. Cerc. Sţ. Ser. Matematica Universitatea Bacău, 16:47- 68(2006).
  • [9] S. Kumar and B. D. Pant, A common fixed point theorem for expansion mappings in probabilistic metric spaces, Ganita, 57(1):89- 95(2006).
  • [10] K. Menger, “Statistical metrics”, Proc. Nat. Acad. Sci. U.S.A., 28:535-537(1942).
  • [11] S. N. Mishra, “Common fixed points of compatible mappings in PM-spaces”, Math. Japon., 36 283-289(1991).
  • [12] B. D. Pant, R. C. Dimri and S. L. Singh, “Fixed point theorems for expansion mapping on probabilistic metric spaces”, Honam Math. J., 9(1):77-81(1987).
  • [13] B. Schweizer and A. Sklar, “Probabilistic Metric Spaces”, North-Holland Series in Probability and Applied MathematicsNorthHolland Publishing Co., New York, (1983).
  • [14] V. M. Sehgal, “Some fixed point theorems in functional analysis and probability”, Ph.D. Dissertation, Wayne State Univ., (1966).
  • [15] B. Singh and S. Jain, A fixed point theorem in Menger Space through weak compatibility, J. Math. Anal. Appl., 301:439-448(2005).
  • [16] S. L. Singh and B. D. Pant, “Common fixed point theorems in probabilistic metric spaces and extension to uniform spaces”, Honam Math. J., 6:1-12 (1984).
  • [17] R. Vasuki, “Fixed point and common fixed point theorems for expansive maps in Menger spaces”, Bull. Cal. Math. Soc., 83:565- 570(1991).
  • [18] S. Z.Wang, B. Y. Li, Z. M. Gao and K. Iseki, “Some fixed point theorems on expansion mappings,”Math. Japon., 29:631-636(1984

Fixed Points of Expansion Mappings in Menger Spaces With Property (E.A.)

Yıl 2013, Cilt: 26 Sayı: 1, 47 - 50, 31.03.2013

Öz

The aim of this paper is to prove a common fixed point theorem for non-surjective expansion mappings in Menger space employing the property (E.A). We also furnish an illustrative example to support our result. Our results improve and generalize a host of previously known fixed point theorems.

Kaynakça

  • [1] S. Banach, “Sur les operations dans les ensembles abstraits et leur application aux equations integrals”, Fund. Math., 3:133-181 (1922).
  • [2] R. C. Dimri, B. D. Pant and S. Kumar, “Fixed point of a pair of non-surjective expansion mappings in Menger spaces”, Stud. Cerc. Sţ. Ser. Matematica Universitatea Bacău, 18:55- 62(2008).
  • [3] M. Frechet, “Sur quelques points du calculfonctionnel”, Rendic. Circ. Mat. Palermo, 22:1-74(1906).
  • [4] R. K. Gujetiya, V. K. Gupta, M. S. Chauhan and O. Sikhwal, “Common fixed point theorem for expansive maps in Menger spaces through compatibility”, Int. Math. Forum, 5(63):3147- 3158(2010).
  • [5] G. Jungck, “Compatible mappings and common fixed points”, Int. J. Math. Math. Sci., 9(4):771-779(1986).
  • [6] I. Kubiaczyk and S. Sharma, “Some common fixed point theorems in Menger space under strict contractive conditions”, Southeast Asian Bull. Math., 32:117- 124(2008).
  • [7] S. Kumar, “Some fixed point theorems in Menger spaces and applications”, Ph.D. Dissertation, Kumaun Univ., Nainital (India), (2008).
  • [8] S. Kumar, R. Chugh and R. K. Vats, “Fixed point theorems for expansion mappings theorems in various spaces”, Stud. Cerc. Sţ. Ser. Matematica Universitatea Bacău, 16:47- 68(2006).
  • [9] S. Kumar and B. D. Pant, A common fixed point theorem for expansion mappings in probabilistic metric spaces, Ganita, 57(1):89- 95(2006).
  • [10] K. Menger, “Statistical metrics”, Proc. Nat. Acad. Sci. U.S.A., 28:535-537(1942).
  • [11] S. N. Mishra, “Common fixed points of compatible mappings in PM-spaces”, Math. Japon., 36 283-289(1991).
  • [12] B. D. Pant, R. C. Dimri and S. L. Singh, “Fixed point theorems for expansion mapping on probabilistic metric spaces”, Honam Math. J., 9(1):77-81(1987).
  • [13] B. Schweizer and A. Sklar, “Probabilistic Metric Spaces”, North-Holland Series in Probability and Applied MathematicsNorthHolland Publishing Co., New York, (1983).
  • [14] V. M. Sehgal, “Some fixed point theorems in functional analysis and probability”, Ph.D. Dissertation, Wayne State Univ., (1966).
  • [15] B. Singh and S. Jain, A fixed point theorem in Menger Space through weak compatibility, J. Math. Anal. Appl., 301:439-448(2005).
  • [16] S. L. Singh and B. D. Pant, “Common fixed point theorems in probabilistic metric spaces and extension to uniform spaces”, Honam Math. J., 6:1-12 (1984).
  • [17] R. Vasuki, “Fixed point and common fixed point theorems for expansive maps in Menger spaces”, Bull. Cal. Math. Soc., 83:565- 570(1991).
  • [18] S. Z.Wang, B. Y. Li, Z. M. Gao and K. Iseki, “Some fixed point theorems on expansion mappings,”Math. Japon., 29:631-636(1984
Toplam 18 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Mathematics
Yazarlar

Sunny Chauhan

Suneel Kumar Bu kişi benim

Yayımlanma Tarihi 31 Mart 2013
Yayımlandığı Sayı Yıl 2013 Cilt: 26 Sayı: 1

Kaynak Göster

APA Chauhan, S., & Kumar, S. (2013). Fixed Points of Expansion Mappings in Menger Spaces With Property (E.A.). Gazi University Journal of Science, 26(1), 47-50.
AMA Chauhan S, Kumar S. Fixed Points of Expansion Mappings in Menger Spaces With Property (E.A.). Gazi University Journal of Science. Mart 2013;26(1):47-50.
Chicago Chauhan, Sunny, ve Suneel Kumar. “Fixed Points of Expansion Mappings in Menger Spaces With Property (E.A.)”. Gazi University Journal of Science 26, sy. 1 (Mart 2013): 47-50.
EndNote Chauhan S, Kumar S (01 Mart 2013) Fixed Points of Expansion Mappings in Menger Spaces With Property (E.A.). Gazi University Journal of Science 26 1 47–50.
IEEE S. Chauhan ve S. Kumar, “Fixed Points of Expansion Mappings in Menger Spaces With Property (E.A.)”, Gazi University Journal of Science, c. 26, sy. 1, ss. 47–50, 2013.
ISNAD Chauhan, Sunny - Kumar, Suneel. “Fixed Points of Expansion Mappings in Menger Spaces With Property (E.A.)”. Gazi University Journal of Science 26/1 (Mart 2013), 47-50.
JAMA Chauhan S, Kumar S. Fixed Points of Expansion Mappings in Menger Spaces With Property (E.A.). Gazi University Journal of Science. 2013;26:47–50.
MLA Chauhan, Sunny ve Suneel Kumar. “Fixed Points of Expansion Mappings in Menger Spaces With Property (E.A.)”. Gazi University Journal of Science, c. 26, sy. 1, 2013, ss. 47-50.
Vancouver Chauhan S, Kumar S. Fixed Points of Expansion Mappings in Menger Spaces With Property (E.A.). Gazi University Journal of Science. 2013;26(1):47-50.