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A new Generalization of Wardowski Fixed Point Theorem in Complete Metric Spaces

Yıl 2017, , 57 - 63, 30.09.2017
https://doi.org/10.31197/atnaa.379119

Öz

The aim of this paper is to state and prove Wardowski type fixed point theorem in metric spaces. The paper includes an example which shows that our result is a proper extension of some known results.

Kaynakça

  • M. Abbas, M. Berzig, T. Nazir, E. Karapınar, Iterative Approximation of Fixed Points for Presic Type F-Contraction Operators, University Politehnica Of Bucharest Scientific Bulletin-Series A-Applied Mathematics And Physics Volume: 78, Issue: 2 Pages: 147-160 Published: 2016
  • M.A. Alghamdi, A. Petrusel, N. Shahzad, A xed point theorem for cyclic generalized contractions in metric spaces, Fixed Point Theory Appl. 122 (2012).
  • H.Aydi, E. Karapnar, H. Yazidi, Modi ed F-Contractions via alpha-Admissible Mappings and Application to Integral Equations, FILOMAT Volume: 31 Issue: 5 Pages: 1141- 148 Published: 2017
  • D.W.Boyd, J.S.W.Wong, On nonlinear contractions, Proc.A.Math. So. 20, 458-464 (1969).
  • S. Banach, Sur les operations dans les ensembles abstraits et leur applications aux equations integrales. Fund.Math.3, 133-181 (1922)
  • E.Karapınar, M.Kutbi, H. Piri And D. O'Regan, Fixed points of conditionally F-contractions in complete metric-like spaces, Fixed Point Theory and Applications 2015, 2015:126
  • E. Karapınar, H.Piri and H.H. AlSulami, Fixed Points of Generalized F-Suzuki Type Contraction in Complete b-Metric Spaces" Discrete Dynamics in Nature and Society, 2015 (2015), Article ID 969726, 8 pages
  • D. Klim, D.Wardowski, Fixed point theorems for set-valued contractions in complete metric spaces. J.Math. Anal.Appl.334, 132-139 (2007)
  • A. Latif, A.W. Albar, Fixed point results in complete metric spaces, Demonstratio Math. 41 (2008), 145-150.
  • O. Popescu, A new type of contractive mappings in complete metric spaces, submitted [ O. Popescu, Fixed Point theorems in metric spaces, Bull. of Transilvania Univ.50 (2008) 479-482.
  • H. Piri,P. Kumam, Some xed point theorems concerning F􀀀contraction in complete metric spaces, Fixed Poin Theory Appl. 2014, 210 (2014)
  • H. Piri,P. Kumam, Wardowski type xed point theorems in complete metric spaces, Fixed Poin Theory Appl. (2016) 2016:45
  • D. Wardowski, Fixed Points of a new type of contractive mappings in complete metric spaces, Fixed Point Theory Appl. 94 (2012).
  • D.Wardowski, N. Van Dung, Fixed points of F-weak contractions on complete metric spaces, Demonstratio Mathematica, 2014.
  • S. Reich, Fixed points of contractive functions, Boll Unione Mat. Ital. 5, 26-42 (1972).
  • N.A.Secelean, Iterated function systems consisting of F􀀀contractions, Fixed Point.Theory.Appl., 2013, 277(2013).
  • T. Suzuki, A new type of xed point theorem in metric spaces, Nonlinear Anal.71, 5313-5317 (2009)
Yıl 2017, , 57 - 63, 30.09.2017
https://doi.org/10.31197/atnaa.379119

Öz

Kaynakça

  • M. Abbas, M. Berzig, T. Nazir, E. Karapınar, Iterative Approximation of Fixed Points for Presic Type F-Contraction Operators, University Politehnica Of Bucharest Scientific Bulletin-Series A-Applied Mathematics And Physics Volume: 78, Issue: 2 Pages: 147-160 Published: 2016
  • M.A. Alghamdi, A. Petrusel, N. Shahzad, A xed point theorem for cyclic generalized contractions in metric spaces, Fixed Point Theory Appl. 122 (2012).
  • H.Aydi, E. Karapnar, H. Yazidi, Modi ed F-Contractions via alpha-Admissible Mappings and Application to Integral Equations, FILOMAT Volume: 31 Issue: 5 Pages: 1141- 148 Published: 2017
  • D.W.Boyd, J.S.W.Wong, On nonlinear contractions, Proc.A.Math. So. 20, 458-464 (1969).
  • S. Banach, Sur les operations dans les ensembles abstraits et leur applications aux equations integrales. Fund.Math.3, 133-181 (1922)
  • E.Karapınar, M.Kutbi, H. Piri And D. O'Regan, Fixed points of conditionally F-contractions in complete metric-like spaces, Fixed Point Theory and Applications 2015, 2015:126
  • E. Karapınar, H.Piri and H.H. AlSulami, Fixed Points of Generalized F-Suzuki Type Contraction in Complete b-Metric Spaces" Discrete Dynamics in Nature and Society, 2015 (2015), Article ID 969726, 8 pages
  • D. Klim, D.Wardowski, Fixed point theorems for set-valued contractions in complete metric spaces. J.Math. Anal.Appl.334, 132-139 (2007)
  • A. Latif, A.W. Albar, Fixed point results in complete metric spaces, Demonstratio Math. 41 (2008), 145-150.
  • O. Popescu, A new type of contractive mappings in complete metric spaces, submitted [ O. Popescu, Fixed Point theorems in metric spaces, Bull. of Transilvania Univ.50 (2008) 479-482.
  • H. Piri,P. Kumam, Some xed point theorems concerning F􀀀contraction in complete metric spaces, Fixed Poin Theory Appl. 2014, 210 (2014)
  • H. Piri,P. Kumam, Wardowski type xed point theorems in complete metric spaces, Fixed Poin Theory Appl. (2016) 2016:45
  • D. Wardowski, Fixed Points of a new type of contractive mappings in complete metric spaces, Fixed Point Theory Appl. 94 (2012).
  • D.Wardowski, N. Van Dung, Fixed points of F-weak contractions on complete metric spaces, Demonstratio Mathematica, 2014.
  • S. Reich, Fixed points of contractive functions, Boll Unione Mat. Ital. 5, 26-42 (1972).
  • N.A.Secelean, Iterated function systems consisting of F􀀀contractions, Fixed Point.Theory.Appl., 2013, 277(2013).
  • T. Suzuki, A new type of xed point theorem in metric spaces, Nonlinear Anal.71, 5313-5317 (2009)
Toplam 17 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Articles
Yazarlar

Andreea Fulga

Alexandrina Proca Bu kişi benim

Yayımlanma Tarihi 30 Eylül 2017
Yayımlandığı Sayı Yıl 2017

Kaynak Göster

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