Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2020, , 28 - 32, 25.03.2020
https://doi.org/10.32323/ujma.609715

Öz

Kaynakça

  • [1] M. Abbas, D. Ilic, Common fixed points of generalized almost nonexpansive mappings, Filomat, 24 (2010), 11-18.
  • [2] I. A. Bakhtin, The contraction mapping principle in almost metric spaces, In: Functional Analysis , 30 (1989), 26-34.
  • [3] V. Berinde Approximating fixed points of weak F-contractions using the Picard iteration, Fixed Point Theory, 4 (2003), 131-142.
  • [4] V. Berinde General constructive fixed point theorems for C´ iric´-type almost contractions in metric spaces, Carpathian J. Math., 24 (2008), 1-19.
  • [5] A. Branciari, A fixed point theorem of Banach–Caccioppoli type on a class of generalized metric spaces, Publ. Math. Debrecen, 57 (2000), 31-37.
  • [6] S. Czerwik, Contraction mappings in b􀀀metric spaces, Acta Math. Inform. Univ. Ostraviensis, 1 (1993), 5-11.
  • [7] P. Das, A fixed point theorem in a generalized metric space, Soochow J. Math., 33 (2007), 33-39.
  • [8] P. Das, B. K. Lahiri, Fixed point of a Ljubomir C´ iric´’s quasi-contraction mapping in a generalized metric space., Publ. Math. Debrecen, 61 (2001), 589-594.
  • [9] H.S. Ding, V. Ozturk, S. Radenovi´c, On some new fixed point results in b-rectangular metric spaces, J. Nonlinear Sci. Appl., 8 (2015), 378-386.
  • [10] H.S. Ding, M. Imdad, S. Radenovic, J. Vujakovic, On some fixed point results in b-metric, rectangular and b-rectangular metric spaces, Arab Journal of Math. Sci., 22(2) (2016), 151-164.
  • [11] R. George, S. Radenovi´c, K. P. Reshma, S. Shukla, Rectangular b-metric spaces and contraction principle, J. Nonlinear Sci. Appl., 8 (2015), 1005-1013.
  • [12] R. George, R. Rajagopalan, Common fixed point results for $\psi -\varphi -$contractions in rectangular metric spaces, Bull. Math. Anal. Appl., 5 (2013), 44-52.
  • [13] N. Goswami, N. Haokip, V. N. Mishra F-contractive type mappings in b metric spaces and some related fixed point results, Fixed Point Theory Appl., 2019 (2019), Article ID 13.
  • [14] F. Gu, On some common coupled fixed point results in rectangular b-metric spaces, J. Nonlinear Sci. Appl., 10 (2017), 4085-4098.
  • [15] Z. Kadelburg, S. Radenovic, Fixed point results in generalized metric spaces without Hausdorff property, Math Sci., 8(125) (2014), doi:10.1007/s40096- 014-0125-6.
  • [16] Z.D. Mitrovic, A note on a Banach’s fixed point theorem in b-rectangular metric space and b-metric space, Mathematica Slovaca, 68(5) (2018), 1113-1116.
  • [17] Z.D. Mitrovic, S. Radenovic, On Meir-Keeler contraction in Branciari b-metric spaces, https://www.researchgate.net/profile/Stojan Radenovic2/publication, (2018).
  • [18] N. Mlaiki, N. Dedovic, H. Aydi, M. G. Filipoviac, B. Bin-Mohsin, S. Radenovic, Some New Observations on Geraghty and Ciric Type Results in b-Metric Spaces, Mathematics, 7 (2019), Article ID 643.
  • [19] V. Özturk, S. Radenovic, Some remarks on b-(E.A)-property in b-metric spaces, Springerplus, 5 (2016), Article ID 544.
  • [20] S. Radenovic, T. Dosenovic, V. Ozturk, C. Dolicanin, A note on the paper, Nonlinear integral equations with new admissibility types in b-metric spaces, J. Fixed Point Theory Appl., 19 (2017), 2287-2295.
  • [21] J. R. Roshan, V. Parvaneh, S. Sedghi, N. Shobkolaei, W. Shatanawi, Common fixed points of almost generalized $\left( \psi,\varphi \right) _{s}-$contractive mappings in ordered $b-$metric spaces. Fixed Point Theory Appl., 2013 (2013), Article ID 130.
  • [22] J.R. Roshan, V. Parvaneh, Z. Kadelburg, N. Hussain, New fixed point results in b-rectangular metric spaces, Nonlinear Analysis: Modelling and Control, 21(5)(2016), 614–634.
  • [23] D. Turkoglu, V. Ozturk, Common fixed point results for four mappings on partial metric spaces, Abstract Appl. Anal., 2012 (2012) Article ID 190862

Fixed Point Theorems in $ b$-Rectangular Metric Spaces

Yıl 2020, , 28 - 32, 25.03.2020
https://doi.org/10.32323/ujma.609715

Öz

The concept of $ b$-rectangular metric space is introduced as a generalization of $ b $-metric space and rectangular (generalized) metric space. In this paper, we introduce generalized almost contraction for two mappings and prove common fixed point theorems in $ b $-rectangular metric spaces.

Kaynakça

  • [1] M. Abbas, D. Ilic, Common fixed points of generalized almost nonexpansive mappings, Filomat, 24 (2010), 11-18.
  • [2] I. A. Bakhtin, The contraction mapping principle in almost metric spaces, In: Functional Analysis , 30 (1989), 26-34.
  • [3] V. Berinde Approximating fixed points of weak F-contractions using the Picard iteration, Fixed Point Theory, 4 (2003), 131-142.
  • [4] V. Berinde General constructive fixed point theorems for C´ iric´-type almost contractions in metric spaces, Carpathian J. Math., 24 (2008), 1-19.
  • [5] A. Branciari, A fixed point theorem of Banach–Caccioppoli type on a class of generalized metric spaces, Publ. Math. Debrecen, 57 (2000), 31-37.
  • [6] S. Czerwik, Contraction mappings in b􀀀metric spaces, Acta Math. Inform. Univ. Ostraviensis, 1 (1993), 5-11.
  • [7] P. Das, A fixed point theorem in a generalized metric space, Soochow J. Math., 33 (2007), 33-39.
  • [8] P. Das, B. K. Lahiri, Fixed point of a Ljubomir C´ iric´’s quasi-contraction mapping in a generalized metric space., Publ. Math. Debrecen, 61 (2001), 589-594.
  • [9] H.S. Ding, V. Ozturk, S. Radenovi´c, On some new fixed point results in b-rectangular metric spaces, J. Nonlinear Sci. Appl., 8 (2015), 378-386.
  • [10] H.S. Ding, M. Imdad, S. Radenovic, J. Vujakovic, On some fixed point results in b-metric, rectangular and b-rectangular metric spaces, Arab Journal of Math. Sci., 22(2) (2016), 151-164.
  • [11] R. George, S. Radenovi´c, K. P. Reshma, S. Shukla, Rectangular b-metric spaces and contraction principle, J. Nonlinear Sci. Appl., 8 (2015), 1005-1013.
  • [12] R. George, R. Rajagopalan, Common fixed point results for $\psi -\varphi -$contractions in rectangular metric spaces, Bull. Math. Anal. Appl., 5 (2013), 44-52.
  • [13] N. Goswami, N. Haokip, V. N. Mishra F-contractive type mappings in b metric spaces and some related fixed point results, Fixed Point Theory Appl., 2019 (2019), Article ID 13.
  • [14] F. Gu, On some common coupled fixed point results in rectangular b-metric spaces, J. Nonlinear Sci. Appl., 10 (2017), 4085-4098.
  • [15] Z. Kadelburg, S. Radenovic, Fixed point results in generalized metric spaces without Hausdorff property, Math Sci., 8(125) (2014), doi:10.1007/s40096- 014-0125-6.
  • [16] Z.D. Mitrovic, A note on a Banach’s fixed point theorem in b-rectangular metric space and b-metric space, Mathematica Slovaca, 68(5) (2018), 1113-1116.
  • [17] Z.D. Mitrovic, S. Radenovic, On Meir-Keeler contraction in Branciari b-metric spaces, https://www.researchgate.net/profile/Stojan Radenovic2/publication, (2018).
  • [18] N. Mlaiki, N. Dedovic, H. Aydi, M. G. Filipoviac, B. Bin-Mohsin, S. Radenovic, Some New Observations on Geraghty and Ciric Type Results in b-Metric Spaces, Mathematics, 7 (2019), Article ID 643.
  • [19] V. Özturk, S. Radenovic, Some remarks on b-(E.A)-property in b-metric spaces, Springerplus, 5 (2016), Article ID 544.
  • [20] S. Radenovic, T. Dosenovic, V. Ozturk, C. Dolicanin, A note on the paper, Nonlinear integral equations with new admissibility types in b-metric spaces, J. Fixed Point Theory Appl., 19 (2017), 2287-2295.
  • [21] J. R. Roshan, V. Parvaneh, S. Sedghi, N. Shobkolaei, W. Shatanawi, Common fixed points of almost generalized $\left( \psi,\varphi \right) _{s}-$contractive mappings in ordered $b-$metric spaces. Fixed Point Theory Appl., 2013 (2013), Article ID 130.
  • [22] J.R. Roshan, V. Parvaneh, Z. Kadelburg, N. Hussain, New fixed point results in b-rectangular metric spaces, Nonlinear Analysis: Modelling and Control, 21(5)(2016), 614–634.
  • [23] D. Turkoglu, V. Ozturk, Common fixed point results for four mappings on partial metric spaces, Abstract Appl. Anal., 2012 (2012) Article ID 190862
Toplam 23 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Vildan Öztürk 0000-0001-5825-2030

Yayımlanma Tarihi 25 Mart 2020
Gönderilme Tarihi 23 Ağustos 2019
Kabul Tarihi 5 Şubat 2020
Yayımlandığı Sayı Yıl 2020

Kaynak Göster

APA Öztürk, V. (2020). Fixed Point Theorems in $ b$-Rectangular Metric Spaces. Universal Journal of Mathematics and Applications, 3(1), 28-32. https://doi.org/10.32323/ujma.609715
AMA Öztürk V. Fixed Point Theorems in $ b$-Rectangular Metric Spaces. Univ. J. Math. Appl. Mart 2020;3(1):28-32. doi:10.32323/ujma.609715
Chicago Öztürk, Vildan. “Fixed Point Theorems in $ B$-Rectangular Metric Spaces”. Universal Journal of Mathematics and Applications 3, sy. 1 (Mart 2020): 28-32. https://doi.org/10.32323/ujma.609715.
EndNote Öztürk V (01 Mart 2020) Fixed Point Theorems in $ b$-Rectangular Metric Spaces. Universal Journal of Mathematics and Applications 3 1 28–32.
IEEE V. Öztürk, “Fixed Point Theorems in $ b$-Rectangular Metric Spaces”, Univ. J. Math. Appl., c. 3, sy. 1, ss. 28–32, 2020, doi: 10.32323/ujma.609715.
ISNAD Öztürk, Vildan. “Fixed Point Theorems in $ B$-Rectangular Metric Spaces”. Universal Journal of Mathematics and Applications 3/1 (Mart 2020), 28-32. https://doi.org/10.32323/ujma.609715.
JAMA Öztürk V. Fixed Point Theorems in $ b$-Rectangular Metric Spaces. Univ. J. Math. Appl. 2020;3:28–32.
MLA Öztürk, Vildan. “Fixed Point Theorems in $ B$-Rectangular Metric Spaces”. Universal Journal of Mathematics and Applications, c. 3, sy. 1, 2020, ss. 28-32, doi:10.32323/ujma.609715.
Vancouver Öztürk V. Fixed Point Theorems in $ b$-Rectangular Metric Spaces. Univ. J. Math. Appl. 2020;3(1):28-32.

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