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Some Fixed Point Theorems for Cyclic Mapping in a Complete B-metric-like Space

Yıl 2020, Cilt: 3 Sayı: 4, 207 - 213, 30.12.2020

Öz

In recent years, the research of fixed point theorem is a hot topic all the time. In this paper, we proposed
the notion of a new mapping, that is, a general LW-type Lipschitz cyclic mapping, in complete b-metric-like
spaces. Then, we obtained the existence and uniqueness theorems of its fixed point. Moreover, we give some
examples to illustrate the main results in this paper.
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Kaynakça

  • [1] S.G. Matthews, Partial metric topology. In: Proc. 8th Summer Conference on General Topology and Applications. Ann. New York Acad. Sci., vol. 728, pp. 183-197 (1994).
  • [2] A.H. Amini, Metric-like spaces, partial metric spaces and fixed points. J. Fixed Point Theory Appl. 2012, Article ID204 (2012).
  • [3] S. Czerwik, Contraction mappings in b-metric spaces. Acta Math. Inform. Univ. Ostrav. 1, 5-11 (1993).
  • [4] Alghamdi et al.: Fixed point and coupled fixed point theorems on b-metric-like spaces. J. Ine. App. 2013, 2013(1):402.
  • [5] S. Banach, Sur les operations dans les ensembles abstraits et leur applications aux equations integrales, Fundamenta Mathematicae,3(1922), 133-181.
  • [6] M. Lei, D.P. Wu, Fixed Point Theorems Concerning New Type Cyclic Maps in Complete B-metric-like Spaces, J.Chengdu University Inf Tec. 1.32(2017):82-85.
  • [7] Sh. Weng, Y. Zhang, D.P. Wu, Fixed Point Theorems of LW-Type Lipschitz Cyclic Mappings in Complete B-Metric-Like Spaces, Int.J.Res.Ind.Eng.Vol.7,No.2(2018)136-146.
  • [8] S.Q. Weng, Some Fixed Point Results Involving a General LW-Type Cyclic Mapping in Complete B-Metric-Like Spaces, Int.J.Res.Ind.Eng.Vol.8,No.3(2019) 262-273.
  • [9] H. Aydi, A. Felhi, S. Sahmim, On common fixed points for (α,ψ)-contractions and generalized cyclic contractions in b-metric-like spaces and consequences. J.Nonlinear. Sci. Appl, 9(2016)2492-2510.
  • [10] H.K. Nashinea, Z. Kadelburg, Existence of Solutions of Cantilever Beam Problem via (α − β − FG)-Contractions in b-Metric-Like Spaces. Filomat 31,11 (2017), 3057-3074.
  • [11] A. Fulga, E. Karapinar, G.Petrusel, On Hybrid Contractions in the Context of Quasi-Metric Spaces, Mathemat- ics,8(2020),675.
  • [12] C. Chifu, E. Karapinar, G. Petrusel, Fixed point results in varepsilon-chainable complete b-metric spaces, J.Fixed Point Theory, Volume 21, No.2,2020, 453-464, July 1st, 2020.
  • [13] E. Karapinar, C. Chifu, Results in wt-Distance over b-Metric Spaces, Mathematics,8(2020),220.
Yıl 2020, Cilt: 3 Sayı: 4, 207 - 213, 30.12.2020

Öz

Kaynakça

  • [1] S.G. Matthews, Partial metric topology. In: Proc. 8th Summer Conference on General Topology and Applications. Ann. New York Acad. Sci., vol. 728, pp. 183-197 (1994).
  • [2] A.H. Amini, Metric-like spaces, partial metric spaces and fixed points. J. Fixed Point Theory Appl. 2012, Article ID204 (2012).
  • [3] S. Czerwik, Contraction mappings in b-metric spaces. Acta Math. Inform. Univ. Ostrav. 1, 5-11 (1993).
  • [4] Alghamdi et al.: Fixed point and coupled fixed point theorems on b-metric-like spaces. J. Ine. App. 2013, 2013(1):402.
  • [5] S. Banach, Sur les operations dans les ensembles abstraits et leur applications aux equations integrales, Fundamenta Mathematicae,3(1922), 133-181.
  • [6] M. Lei, D.P. Wu, Fixed Point Theorems Concerning New Type Cyclic Maps in Complete B-metric-like Spaces, J.Chengdu University Inf Tec. 1.32(2017):82-85.
  • [7] Sh. Weng, Y. Zhang, D.P. Wu, Fixed Point Theorems of LW-Type Lipschitz Cyclic Mappings in Complete B-Metric-Like Spaces, Int.J.Res.Ind.Eng.Vol.7,No.2(2018)136-146.
  • [8] S.Q. Weng, Some Fixed Point Results Involving a General LW-Type Cyclic Mapping in Complete B-Metric-Like Spaces, Int.J.Res.Ind.Eng.Vol.8,No.3(2019) 262-273.
  • [9] H. Aydi, A. Felhi, S. Sahmim, On common fixed points for (α,ψ)-contractions and generalized cyclic contractions in b-metric-like spaces and consequences. J.Nonlinear. Sci. Appl, 9(2016)2492-2510.
  • [10] H.K. Nashinea, Z. Kadelburg, Existence of Solutions of Cantilever Beam Problem via (α − β − FG)-Contractions in b-Metric-Like Spaces. Filomat 31,11 (2017), 3057-3074.
  • [11] A. Fulga, E. Karapinar, G.Petrusel, On Hybrid Contractions in the Context of Quasi-Metric Spaces, Mathemat- ics,8(2020),675.
  • [12] C. Chifu, E. Karapinar, G. Petrusel, Fixed point results in varepsilon-chainable complete b-metric spaces, J.Fixed Point Theory, Volume 21, No.2,2020, 453-464, July 1st, 2020.
  • [13] E. Karapinar, C. Chifu, Results in wt-Distance over b-Metric Spaces, Mathematics,8(2020),220.
Toplam 13 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Articles
Yazarlar

Shengquan Weng Bu kişi benim

Xingyan Liu Bu kişi benim

Zengfu Chao Bu kişi benim

Yayımlanma Tarihi 30 Aralık 2020
Yayımlandığı Sayı Yıl 2020 Cilt: 3 Sayı: 4

Kaynak Göster

APA Weng, S., Liu, X., & Chao, Z. (2020). Some Fixed Point Theorems for Cyclic Mapping in a Complete B-metric-like Space. Results in Nonlinear Analysis, 3(4), 207-213.
AMA Weng S, Liu X, Chao Z. Some Fixed Point Theorems for Cyclic Mapping in a Complete B-metric-like Space. RNA. Aralık 2020;3(4):207-213.
Chicago Weng, Shengquan, Xingyan Liu, ve Zengfu Chao. “Some Fixed Point Theorems for Cyclic Mapping in a Complete B-Metric-Like Space”. Results in Nonlinear Analysis 3, sy. 4 (Aralık 2020): 207-13.
EndNote Weng S, Liu X, Chao Z (01 Aralık 2020) Some Fixed Point Theorems for Cyclic Mapping in a Complete B-metric-like Space. Results in Nonlinear Analysis 3 4 207–213.
IEEE S. Weng, X. Liu, ve Z. Chao, “Some Fixed Point Theorems for Cyclic Mapping in a Complete B-metric-like Space”, RNA, c. 3, sy. 4, ss. 207–213, 2020.
ISNAD Weng, Shengquan vd. “Some Fixed Point Theorems for Cyclic Mapping in a Complete B-Metric-Like Space”. Results in Nonlinear Analysis 3/4 (Aralık 2020), 207-213.
JAMA Weng S, Liu X, Chao Z. Some Fixed Point Theorems for Cyclic Mapping in a Complete B-metric-like Space. RNA. 2020;3:207–213.
MLA Weng, Shengquan vd. “Some Fixed Point Theorems for Cyclic Mapping in a Complete B-Metric-Like Space”. Results in Nonlinear Analysis, c. 3, sy. 4, 2020, ss. 207-13.
Vancouver Weng S, Liu X, Chao Z. Some Fixed Point Theorems for Cyclic Mapping in a Complete B-metric-like Space. RNA. 2020;3(4):207-13.