Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2020, Sayı: 31, 95 - 103, 30.06.2020

Öz

Kaynakça

  • S.Gahler, 2-metric Raume and ihre topologische strucktur, Math. Nachr. 26 (1963) 115-148.
  • S.Gahler, Lineare 2-normietre Raume, Math. Nachr. 28 (1965) 1-43.
  • K. S. Ha, Y. J. Cho, and A. White, Strictly convex and strictly 2-convex 2-normed spaces, Mathematica Japonica 33(3) 1988 375-384.
  • B.C. Dhage, Generalized metric spaces mappings with fi xed point, Bull. Calcutta Math. Soc. 84 (1992) 329-336.
  • Z. Mustafa, B. Sims, A new approach to generalized metric spaces, J. Nonlinear Convex Anal. 7 (2006) 289-297.
  • S. Sedghi, K.P.R. Rao, N. Shobe, Common fi xed point theorems for six weakly compatible mappings in D*-metric spaces, Internat J. Math. Math. Sci. 6 (2007) 225-237.
  • S. Sedghi, N. Shobe, H. Zhou, A common fixed point theorem in D*-metric spaces, Fixed Point Theory Appl. (2007) Article ID 27906 13 pages.
  • S. Sedghi, N. Shobe and A. Aliouche, A generalization of fixed point theorems in S-metric spaces, Mat. Vesnik 64(3) (2012) 258-266.
  • S. Sedghi and N. V. Dung, Fixed point theorems on S-metric spaces, Mat. Vesnik 66(1) (2014) 113-124.
  • M. Akram, A. A. Siddiqui, A fixed point theorem for A-contractions on a class of generalised metric spaces, Korean J. Math. Sciences 10(2) (2003) 1-5.
  • M. Akram, A. A. Zafar, A. A. Siddiqui, A general class of contractions: A- contractions, Novi Sad J. Math. 38(1) (2008) 25-33.
  • M. Saha, D. Dey, Fixed point theorems for a class of A-contractions on a 2-metric space, Novi Sad J. Math. 40(1) (2010) 3-8.
  • A. Branciari, A fixed point theorem for mappings satisfying a general contractive condition of integral type, Int. J. Math. Math. Sci 29(9) (2002) 531-536.
  • D. Dey, A. Ganguly, M. Saha, Fixed point theorems for mappings under general contractive condition of integral type, Bull. Math. Anal. Appl. 3(1) (2011) 27-34.
  • B.E . Rhoades, Two fixed point theorems for mappings satisfying a general contractive condition of integral type, International Journal of Mathematics and Mathematical Sciences 63 (2003) 4007- 4013.
  • C. Vetro, F. Vetro, A Homotopy Fixed Point Theorem in 0-Complete Partial Metric Space, Filomat 29(9) (2015) 2037-2048.

On Generalized Contraction Principles over S-metric Spaces with Application to Homotopy

Yıl 2020, Sayı: 31, 95 - 103, 30.06.2020

Öz

In the present paper, we introduce the concept of a class of generalized
contraction mappings called A-contraction on S-metric space and investigate the
existence of fixed points over such spaces. Analogue result has been formulated
in integral setting over such an S-metric space. Moreover, the result is applied to
homotopy theory.
-

Kaynakça

  • S.Gahler, 2-metric Raume and ihre topologische strucktur, Math. Nachr. 26 (1963) 115-148.
  • S.Gahler, Lineare 2-normietre Raume, Math. Nachr. 28 (1965) 1-43.
  • K. S. Ha, Y. J. Cho, and A. White, Strictly convex and strictly 2-convex 2-normed spaces, Mathematica Japonica 33(3) 1988 375-384.
  • B.C. Dhage, Generalized metric spaces mappings with fi xed point, Bull. Calcutta Math. Soc. 84 (1992) 329-336.
  • Z. Mustafa, B. Sims, A new approach to generalized metric spaces, J. Nonlinear Convex Anal. 7 (2006) 289-297.
  • S. Sedghi, K.P.R. Rao, N. Shobe, Common fi xed point theorems for six weakly compatible mappings in D*-metric spaces, Internat J. Math. Math. Sci. 6 (2007) 225-237.
  • S. Sedghi, N. Shobe, H. Zhou, A common fixed point theorem in D*-metric spaces, Fixed Point Theory Appl. (2007) Article ID 27906 13 pages.
  • S. Sedghi, N. Shobe and A. Aliouche, A generalization of fixed point theorems in S-metric spaces, Mat. Vesnik 64(3) (2012) 258-266.
  • S. Sedghi and N. V. Dung, Fixed point theorems on S-metric spaces, Mat. Vesnik 66(1) (2014) 113-124.
  • M. Akram, A. A. Siddiqui, A fixed point theorem for A-contractions on a class of generalised metric spaces, Korean J. Math. Sciences 10(2) (2003) 1-5.
  • M. Akram, A. A. Zafar, A. A. Siddiqui, A general class of contractions: A- contractions, Novi Sad J. Math. 38(1) (2008) 25-33.
  • M. Saha, D. Dey, Fixed point theorems for a class of A-contractions on a 2-metric space, Novi Sad J. Math. 40(1) (2010) 3-8.
  • A. Branciari, A fixed point theorem for mappings satisfying a general contractive condition of integral type, Int. J. Math. Math. Sci 29(9) (2002) 531-536.
  • D. Dey, A. Ganguly, M. Saha, Fixed point theorems for mappings under general contractive condition of integral type, Bull. Math. Anal. Appl. 3(1) (2011) 27-34.
  • B.E . Rhoades, Two fixed point theorems for mappings satisfying a general contractive condition of integral type, International Journal of Mathematics and Mathematical Sciences 63 (2003) 4007- 4013.
  • C. Vetro, F. Vetro, A Homotopy Fixed Point Theorem in 0-Complete Partial Metric Space, Filomat 29(9) (2015) 2037-2048.
Toplam 16 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Araştırma Makalesi
Yazarlar

Debashis Dey Bu kişi benim

Kushal Roy Bu kişi benim

Mantu Saha Bu kişi benim

Yayımlanma Tarihi 30 Haziran 2020
Gönderilme Tarihi 9 Ocak 2019
Yayımlandığı Sayı Yıl 2020 Sayı: 31

Kaynak Göster

APA Dey, D., Roy, K., & Saha, M. (2020). On Generalized Contraction Principles over S-metric Spaces with Application to Homotopy. Journal of New Theory(31), 95-103.
AMA Dey D, Roy K, Saha M. On Generalized Contraction Principles over S-metric Spaces with Application to Homotopy. JNT. Haziran 2020;(31):95-103.
Chicago Dey, Debashis, Kushal Roy, ve Mantu Saha. “On Generalized Contraction Principles over S-Metric Spaces With Application to Homotopy”. Journal of New Theory, sy. 31 (Haziran 2020): 95-103.
EndNote Dey D, Roy K, Saha M (01 Haziran 2020) On Generalized Contraction Principles over S-metric Spaces with Application to Homotopy. Journal of New Theory 31 95–103.
IEEE D. Dey, K. Roy, ve M. Saha, “On Generalized Contraction Principles over S-metric Spaces with Application to Homotopy”, JNT, sy. 31, ss. 95–103, Haziran 2020.
ISNAD Dey, Debashis vd. “On Generalized Contraction Principles over S-Metric Spaces With Application to Homotopy”. Journal of New Theory 31 (Haziran 2020), 95-103.
JAMA Dey D, Roy K, Saha M. On Generalized Contraction Principles over S-metric Spaces with Application to Homotopy. JNT. 2020;:95–103.
MLA Dey, Debashis vd. “On Generalized Contraction Principles over S-Metric Spaces With Application to Homotopy”. Journal of New Theory, sy. 31, 2020, ss. 95-103.
Vancouver Dey D, Roy K, Saha M. On Generalized Contraction Principles over S-metric Spaces with Application to Homotopy. JNT. 2020(31):95-103.


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