$\mathcal{E}$-metric spaces and common fixed point theorems

Subject Areas : Fixed point theory

F. Yousefi ¹ , H. Rahimi ² , G. Soleimani Rad ³

1 - Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran
2 - Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran
3 - Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran

Received: 2022-04-03 Accepted : 2022-07-29 Published : 2022-09-01

Keywords:

References:

[1] M. Abbas, G. Jungck, Common fixed point results for noncommuting mappings without continuity in cone metric spaces, J. Math. Anal. Appl. 341 (2008), 416-420.

[2] M. Abbas, B. E. Rhoades, T. Nazir, Common fixed points for four maps in cone metric spaces, Appl. Math. Comput. 216 (2010), 80-86.

[3] C. D. Aliprantis, K. C. Border, Infinite Dimensional Analysis, Springer-Verlag, Berlin, 1999.

[4] I. Altun, C. Cevik, Some common fixed point theroems in vector metric spaces, Filomat. 25 (1) (2011), 105-113.

[5] C. Cevik, I. Altun, Vector metric space and some properties, Topol. Met. Nonlin. Anal. 34 (2) (2009), 375-382.

[6] B. Fisher, Four mappings with a common fixed point, J. Univ. Kuwait Sci. 8 (1981), 131-139.

[7] L. G. Huang, X. Zhang, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl. 332 (2007), 1467-1475.

[8] G. Jungck, Common fixed points for commuting and compatible maps on compacta, Proc. Amer. Math. Soc. 103 (1988), 977-983.

[9] G. Jungck, Common fixed points for noncontinuous nonself maps on nonmetric spaces, Far East J. Math. Sci. 4 (1996), 199-215.

[10] G. Jungck, Compatible mappings and common fixed points, Int. J. Math. Math. Sci. 9 (1986), 771-779.

[11] G. Jungck, B. E. Rhoades, Fixed point theorems for occasionally weakly compatible mappings, Fixed Point Theory. (7) (2) (2006), 287-296.

[12] H. Rahimi, M. Abbas, G. Soleimani Rad, Common fixed point results for four mappings on ordered vector metric spaces, Filomat. 29 (4) (2015), 865-878.

[13] S. Sessa, On a weak commutativity condition of mappings in fixed point consideration, Publ. Inst. Math. 32 (1982), 149-153.

[14] G. Soleimani Rad, I. Altun, Common fixed point results on vector metric spaces, J. Linear. Topological. Algebra. 5 (1) (2016), 29-39.

[15] P. P. Zabreiko, K-metric and K-normed linear spaces: survey, Collect. Math. 48 (1997), 825-859.