Main Article Content

Abstract

We provide some results about best proximity points of generalized almost-$F$-contraction mappings
in metric spaces which generalize and extend recent  fixed point theorems. Also, we give an example to illustrate  our main result.

Keywords

Best proximity point generalized almost-$F$-contraction Property $P$

Article Details

How to Cite
Salamatbakhsh, M., & Hamlbarani Haghi, R. (2019). On Best Proximity Points of Generalized Almost-F-Contraction Mappings. Journal of the Indonesian Mathematical Society, 25(1), 16–23. https://doi.org/10.22342/jims.25.1.532.16-23

References

  1. Ardsalee, P. and Saejung, S., "Best proximity point theorems via fixed point theorems for
  2. multivalued mappings", Fixed Point Theory Appl., 2016, (2016), 11 pp.
  3. Budhia, L. B., P. Kumam, P. and Marti
  4. nez-Moreno, J., "Extensions of almost-F and F-
  5. Suzuki contractions with graph and some applications to fractional calculus", Fixed Point
  6. Theory Appl., 2016 (2016), 14 pp.
  7. Gabeleh, M., "Best proximity point theorems for single and set-valued non-self mappings",
  8. Acta Mathematica Scientia, 5 (2014), 1661-1669.
  9. Minak, G., Helvaci, A. and Altun, I., " Ciric type generalized F-contractions on complete
  10. metric spaces and fixed point results", Filomat, 28 (2014), no. 6, 1143{1151.
  11. Piri, H. and Kumam, P., "Some fixed point theorem concerning F-contraction in complete
  12. metric spaces", Fixed Point Theory Appl., 2014 (2014), 11 pp.
  13. Salimi, P. and Vetro, P., "A Best Proximity Point Theorem for Generalized GeraghtySuzuki
  14. Contractions", Bull. Malays. Math. Sci. Soc., 39 (2016), no. 1, 245{256.
  15. Shatanawi, W. and Pitea, A., "Best proximity point and best proximity coupled point in a
  16. complete metric space with (P)-property", Filomat., 29 (2015), no. 1, 63-74.
  17. Wardowski, D., "Fixed point of a new type of contractive mappings in complete metric
  18. spaces", Fixed Point Theory Appl., 2012 (2012), 6 pp.