BibTex RIS Kaynak Göster

Some Fixed Point Theorems for Weak Compatible Mappings in G-Metric Spaces

Yıl 2017, Cilt: 20 Sayı: 2, 16 - 28, 25.08.2017

Cafer Aydın , Seher Sultan Sepet

https://doi.org/10.17780/ksujes.322349

Öz

In this work it
was given  the existence of the unique
common fixed point theorems for weakly compatible mappings and results.in  -metric
spaces.

Anahtar Kelimeler

Fixed point G-metic spaces weakly compatible mapping

Kaynakça

  • Kaewcharoen A., Yuying T., (2014). Unique common fixed point theorems on partial metric spaces, J. of nonlinear Sci. and Appl. , 7, 90-101.
  • Banach, S., (1922). Surles operations dansles ensembles abstracits et leur application aux equations integrales, Fund Math. 000003,133-181.
  • Kannan, R., , (1968). Some results on fixed points. Bull. Calcutta Math. Soc. 60, 71-76.
  • Reich, S., (1971). Some remarks concerning contraction mappings. Can. Math. Bull. 14, 121-124.
  • Chatterjea, S. K., (1972). Fixed point theorems. C. R. Acad. Bulg. Sci. 25, 727-730.
  • Zamfirescu T., (1972). Fixed point theorems in metric spaces, Arch. Math. (Basel) 23, 292-298.
  • Hardy G. E., Rogers, T.D., (1973). A generalization of a fixed point theorem of Reich, Canad. Math. Bull. 16, 201-206.
  • Alber, Ya. I., Guerre-Delabriere, S., (1997). Principles of weakly contractive maps in Hilbert Spaces, in: I. Gohberg, Yu. Lyubich (Eds.), New Results in Operator Theory, in: Advences and Appl., 7-22, 98.
  • Rhoades, B. E., (2001). Some theorems on weakly contractive maps, Nonlinear Anal. 47, (4), 2683-2693.
  • Dutta, P. N., Choudhury, B. S., (2008). A generalization of contraction principle in metric spaces. Fixed point Theory and Applications Article, I. D., 8, 406368.
  • Popescu, O., (2011). Fixed points for ψ,φ- weak contractions. Appl. Math. Lett. , 1-4, 24.
  • Berinde, V., (2008). General constructive fixed point theorems for Ciric-type almost contractions in metric spaces, Carpathian J., 24, no. 2, 10-19.
  • Berinde, V., (2003). On the approximatation of weak contractive mappings. Carpathian J. Math. 19, (1), 7-22.
  • Berinde, V., (2007). Approximatating of fixed points. Springer- Verlag. Berlin-Heidelberg.
  • Berinde, V., (2004). Approximatating fixed points of weak contractions using the Picard iteration. Nonlinear Anal. Forum 9, (1), 43-57.
  • Mustafa, Z., Sims, B., (2006). A new approach to a generalized metric spaces. J. Nonlinear Convex Anal., 7 (2), 289-297.
  • Jungck, G., (1976). Commuting Mappings and Fixed Points, Amer. Math. Monthly, 83: 261-263.
  • Jungck, G., Rhoades, B. E., (1998). Fixed Point for Set Valued Functionons without Continuity, Indian J., Pure Applied Math., 29 (3), 227-238.
  • Abbas, M. Babu G.V.R. and Alemayehu, G.N. (2011). On common fixed points of weakly compatible mappings satisfying generalized condition, Filomat., 25, 9-19.
  • Sushil Sharma , Bhavana Deshpande , and Alok Pandey, (2011). Common fixed point theorem for a pair of weakly compatible mappings on Banach spaces, East Asian Math. J. 27, (5), 573-583.
  • Suzuki, T. (2007). Meir-Keeler contractions of integral type are still Meir-Keeler contractions. Internat. J. Math. Math. Sci., Article ID 39281, 6 pages, MR2285999 (2007k:54049).
  • Vetro, C. (2010). On Branciari’s theorem for weakly compatible mappings. Appl. Math. Lett., MR2609801 (2011 d: 47136)., 23, (6), 700–705.

G-Metrik Uzayda Zayıf Uyumlu Dönüşümler İçin Bazı Sabit Nokta Teoremleri

Yıl 2017, Cilt: 20 Sayı: 2, 16 - 28, 25.08.2017

Cafer Aydın , Seher Sultan Sepet

https://doi.org/10.17780/ksujes.322349

Öz

Bu çalışmada, G-metrik uzayda zayıf
uyumlu dönüşümler için bazı sabit nokta teoremleri ve sonuçlar verildi.

Anahtar Kelimeler

Sabit nokta G -metrik uzay zayıf uyumlu dönüşüm

Kaynakça

  • Kaewcharoen A., Yuying T., (2014). Unique common fixed point theorems on partial metric spaces, J. of nonlinear Sci. and Appl. , 7, 90-101.
  • Banach, S., (1922). Surles operations dansles ensembles abstracits et leur application aux equations integrales, Fund Math. 000003,133-181.
  • Kannan, R., , (1968). Some results on fixed points. Bull. Calcutta Math. Soc. 60, 71-76.
  • Reich, S., (1971). Some remarks concerning contraction mappings. Can. Math. Bull. 14, 121-124.
  • Chatterjea, S. K., (1972). Fixed point theorems. C. R. Acad. Bulg. Sci. 25, 727-730.
  • Zamfirescu T., (1972). Fixed point theorems in metric spaces, Arch. Math. (Basel) 23, 292-298.
  • Hardy G. E., Rogers, T.D., (1973). A generalization of a fixed point theorem of Reich, Canad. Math. Bull. 16, 201-206.
  • Alber, Ya. I., Guerre-Delabriere, S., (1997). Principles of weakly contractive maps in Hilbert Spaces, in: I. Gohberg, Yu. Lyubich (Eds.), New Results in Operator Theory, in: Advences and Appl., 7-22, 98.
  • Rhoades, B. E., (2001). Some theorems on weakly contractive maps, Nonlinear Anal. 47, (4), 2683-2693.
  • Dutta, P. N., Choudhury, B. S., (2008). A generalization of contraction principle in metric spaces. Fixed point Theory and Applications Article, I. D., 8, 406368.
  • Popescu, O., (2011). Fixed points for ψ,φ- weak contractions. Appl. Math. Lett. , 1-4, 24.
  • Berinde, V., (2008). General constructive fixed point theorems for Ciric-type almost contractions in metric spaces, Carpathian J., 24, no. 2, 10-19.
  • Berinde, V., (2003). On the approximatation of weak contractive mappings. Carpathian J. Math. 19, (1), 7-22.
  • Berinde, V., (2007). Approximatating of fixed points. Springer- Verlag. Berlin-Heidelberg.
  • Berinde, V., (2004). Approximatating fixed points of weak contractions using the Picard iteration. Nonlinear Anal. Forum 9, (1), 43-57.
  • Mustafa, Z., Sims, B., (2006). A new approach to a generalized metric spaces. J. Nonlinear Convex Anal., 7 (2), 289-297.
  • Jungck, G., (1976). Commuting Mappings and Fixed Points, Amer. Math. Monthly, 83: 261-263.
  • Jungck, G., Rhoades, B. E., (1998). Fixed Point for Set Valued Functionons without Continuity, Indian J., Pure Applied Math., 29 (3), 227-238.
  • Abbas, M. Babu G.V.R. and Alemayehu, G.N. (2011). On common fixed points of weakly compatible mappings satisfying generalized condition, Filomat., 25, 9-19.
  • Sushil Sharma , Bhavana Deshpande , and Alok Pandey, (2011). Common fixed point theorem for a pair of weakly compatible mappings on Banach spaces, East Asian Math. J. 27, (5), 573-583.
  • Suzuki, T. (2007). Meir-Keeler contractions of integral type are still Meir-Keeler contractions. Internat. J. Math. Math. Sci., Article ID 39281, 6 pages, MR2285999 (2007k:54049).
  • Vetro, C. (2010). On Branciari’s theorem for weakly compatible mappings. Appl. Math. Lett., MR2609801 (2011 d: 47136)., 23, (6), 700–705.
Toplam 22 adet kaynakça vardır.

Ayrıntılar

Konular Mühendislik
Bölüm Araştırma Makalesi
Yazarlar

Cafer Aydın

Seher Sultan Sepet

Yayımlanma Tarihi 25 Ağustos 2017
Gönderilme Tarihi 19 Haziran 2017
Yayımlandığı Sayı Yıl 2017Cilt: 20 Sayı: 2

Kaynak Göster

APA Aydın, C., & Sepet, S. S. (2017). G-Metrik Uzayda Zayıf Uyumlu Dönüşümler İçin Bazı Sabit Nokta Teoremleri. Kahramanmaraş Sütçü İmam Üniversitesi Mühendislik Bilimleri Dergisi, 20(2), 16-28. https://doi.org/10.17780/ksujes.322349