### COMMON FIXED POINT THEOREMS INVOLVING C-CLASS FUNCTIONS IN G-METRIC SPACES

**DOI Number**

**First page**

**Last page**

#### Abstract

The purpose of this paper is to prove some common fixed point theorems using the concept of *C* class function in *G*-metric spaces. Moreover, some examples are presented to illustrate the validity of our results.

#### Keywords

#### Full Text:

PDF#### References

M. Abbas, T. Nazir, W. Shatanawi and Z. Mustafa: Fixed and related fixed point theorems for three maps in G-metric spaces. Hacettepe Journal of Mathematics and Statistics, 41 (2012), 291–306.

R. P Agarwal, Z. Kadelburg and S. Radenovi´c: On coupled fixed point results in asymmetric G-metric spaces. Journal of Inequalities and Applications, 2013, 2013–528.

R. P. Agarwal, E. Karapınar, D. O’Regan and A.F.R.-de-Hierro: Fixed Point Theory in Metric Type Spaces, Springer International Publishing Switzerland, 2015.

I. Altun, M. Aslantas and H. Sahin: Best proximity point results for p-proximal contractions. Acta Math. Hungar, 162 (2020), 393–402.

A. H. Ansari: Note on φ-ψ-contractive type mappings and related fixed point”, The 2nd regional conference on mathematics and applications, Payame Noor University, 377–380, 2014.

M. Aslantas, H. Sahin and I. Altun: Best proximity point theorems for cyclic pcontractions with some consequences and applications. Nonlinear Analysis: Modelling and Control, 26 (2021), 113–129.

M. Aslantas, H. Sahin and D. Turkoglu: Some Caristi type fixed point theorems. The Journal of Analysis,(2020) 1–15.

L. Ciric: Some recent results in metrical fixed point theory, University of Belgrade, Beograd 2003, Serbia.

T. Hamaizia: Fixed point theorems involving C-class functions in Gb-metric spaces. Journal of Applied Mathematics and Informatics, 39 (2021), 529–539.

T. Hamaizia and A. H. Ansari: Related fixed point on two metric spaces via C-class functions. Palestine Journal of Mathematics, 10 (2021), 537–546.

M. S. Khan, M. Swaleh and S. Sessa: Fixed point theorems by altering distances between the points, Bulletin of the Australian Mathematical Society, 30 (1984), 1–9.

E. Malkowski and V. Rakocevic: Advanced Functional Analysis, CRS Press, Taylor and Francis Group, Boca Raton, FL,2019

Z. Mustafa and B. Sims: new approach to generalized metric spaces. Journal of Nonlinear and Convex Analysis, 7 (2006), 289–297.

Z. Mustafa, H. Obiedat and F. Awawdeh: Some fixed point theorem for mapping on complete G-metric spaces, Fixed Point Theory and Applications 2008, Article ID 189870, 12 pages.

Z. Mustafa, W. Shatanawi and M. Bataineh: Fixed point theorem on uncomplete G-metric spaces. J. Math. Stat. 4 (2008), 196–201 .

Z. Mustafa, W. Shatanawi and M. Bataineh: Existance of fixed point results in G-metric spaces, Inter. J. Mathematics and Math. Sciences. 2009, Article ID 283028, 10 pages.

Z. Mustafa and B. Sims: Fixed point theorems for contractive mappings in complete G-metric space, Fixed Point Theory Appl., 2009, Article ID 917175, 10 pages.

Z. Mustafa and H. Obiedat: A fixed point theorem of Reich in G-metric spaces. Cubo, 12 (2010), 83–93 .

V. Popa: A general fixed point theorem for several mappings in G-metric spaces, Sci. Stud. Res., Ser. Math. Inform. 21 (2011), 205–214.

V. Popa and A-M. Patriciu: A General fixed point theorem for a pair of self mappings with common limit rang property in G-metric spaces, Facta Universitatis(Nis), Ser. Math. Inform. 29 (2014), 351–370.

H. Sahin, M. Aslantas and I. Altun: Feng-Liu type approach to best proximity point results for multivalued mappings. Journal of Fixed Point Theory and Applications, 22 (2020), 1–13.

W. Shatanawi: Fixed point theory for contractive mappings satisfying ϕ-maps in G-metric spaces. Fixed Point Theory Appl.

(2010), Article ID 181650, 9 pages.

DOI: https://doi.org/10.22190/FUMI200105059H

### Refbacks

- There are currently no refbacks.

ISSN 0352-9665 (Print)