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

Year 2017, Volume: 1 Issue: 1, 57 - 63, 30.09.2017

Andreea Fulga , Alexandrina Proca

https://doi.org/10.31197/atnaa.379119

Cited By: 15

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.

Keywords

Wardowski type contraction, fixed point, metric space

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 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)