### THE EXISTENCE OF FIXED POINTS FOR HARDY-ROGERS CONTRACTIVE MAPPINGS WITH RESPECT TO A $wt$-DISTANCE IN $b$-METRIC SPACES

**DOI Number**

**First page**

**Last page**

#### Abstract

#### Keywords

#### Full Text:

PDF#### References

S. Aleksic, H. Huang, Z. D. Mitrovic and S. Radenovic: Remarks on some fixed point results in b-metric spaces. J. Fixed Point Theory Appl. 20 (2018), 4:147.

I. A. Bakhtin: The contraction mapping principle in almost metric space. Functional Analysis. 30 (1989), 26–37.

J. A. Bondy and U. S. R. Murty: Graph Theory. Springer, 2008.

M. Bota, A. Molnar and C. Varga: On Ekeland’s variational principle in b-metric spaces. Fixed Point Theory. 12 (2) (2011), 21–28.

S. Czerwik: Contraction mappings in b-metric spaces. Acta. Math. Inform. Univ. Ostrav. 1 (1) (1993), 5–11.

K. Fallahi, A. Petrusel and G. Soleimani Rad: Fixed point results for pointwise Chatterjea type mappings with respect to a c-distance in cone metric spaces endowed with a graph. U.P.B. Sci. Bull. (Series A). 80 (1) (2018), 47–54.

K. Fallahi, D. Savic and G. Soleimani Rad: The existence theorem for contractive mappings on wt-distance spaces endowed with a graph and its application. SCMA. 13 (1) (2019), 1–15.

G. E. Hardy and T. D. Rogers: A generalization of a fixed point theorem of Reich. Canad. Math. Bull. 16 (1973), 201–206.

N. Hussain, R. Saadati and R. P. Agrawal: On the topology and wt-distance on metric type spaces. Fixed Point Theory Appl. 2014, 2014:88.

J. Jachymski: The contraction principle for mappings on a metric space with a graph. Proc. Amer. Math. Soc. 136 (2008), 1359–1373.

O. Kada, T. Suzuki and W. Takahashi: Nonconvex minimization theorems and fixed point theorems in complete metric spaces. Math. Japon. 44 (1996), 381–391.

Z. D. Mitrovic and N. Hussain: On weak quasicontractions in b-metric spaces. Publ. Math. Debrecen. 94 (3-4) (2019), 289–298.

A. Petrusel and I. A. Rus: Fixed point theorems in ordered L-spaces. Proc. Amer. Math. Soc. 134 (2) (2006), 411–418.

D. Rakic, A. Mukheimer, T. Dosenovic, Z. D. Mitrovic and S. Radenovic: On some new fixed point results in fuzzy b-metric spaces. J Inequal Appl. 2020, 2020:99.

G. Soleimani Rad, H. Rahimi and C. Vetro: Fixed point results under generalized c-distance with application to nonlinear fourth-order differential equation. Fixed Point Theory. 20 (2) (2019), 635–648.

W. A. Wilson: On semi-metric spaces. Amer. Jour. Math. 53 (2) (1931), 361–373.

DOI: https://doi.org/10.22190/FUMI190702058A

### Refbacks

- There are currently no refbacks.

ISSN 0352-9665 (Print)