F(ψ,φ)-contractions for α-admissible mappings on metric spaces and related fixed point results

Authors

1 Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

2 Department of Mathematics, Zanjan Branch, Islamic Azad University, Zanjan, Iran

Abstract

In this paper, we prove the existence and uniqueness of fixed points for certain α-admissible mappings which
are F(ψ,φ)-contractions on metric spaces. Our results generalize and extend some well-known results in
the literature.

Keywords

References

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[2] M. Geraghty, On contractive mappings, Proc. Amer. Math. Soc., 40 (1973), 604–608 . 
[3] N. Hussain, E. Karapinar, P. Salimi, F. Akbar, α-admissible mappings and related fixed point theorems, J. Inequal.
Appl., 2013 (2013), 11 pages. 
[4] H. Lakzian, B. Samet, Fixed points for (ψ,φ)-weakly contractive mapping in generalized metric spaces, Appl.
Math. Lett., 25 (2012), 902–906. 
Communications in Nonlinear Analysis
Volume 2, Issue 1
Summer and Autumn 2016
Pages 86-94

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