Research Article
Year 2017,
Volume: 1 Issue: 1, 57 - 63, 30.09.2017
Abstract
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.
References
- 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 Fcontraction 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 Fcontractions, 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)
Year 2017,
Volume: 1 Issue: 1, 57 - 63, 30.09.2017
Abstract
References
- 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 Fcontraction 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 Fcontractions, 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)
There are 17 citations in total.
Details
| Primary Language | English |
|---|---|
| Subjects | Mathematical Sciences |
| Journal Section | Articles |
| Authors | |
| Publication Date | September 30, 2017 |
| Published in Issue | Year 2017 Volume: 1 Issue: 1 |
