Coupled fixed point results for $T$-contractions on $\mathcal{F}$-metric spaces and an application

Subject Areas : Fixed point theory

H. Majani ¹ , R. Zaer Soleimani ² , Javad Izadi ³

1 - Department of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz, Iran
2 - Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-4697, Tehran, Iran
3 - Department of Mathematics, Payame Noor University, P.O. Box: 19395-4697 Tehran, Iran

Received: 2020-07-24 Accepted : 2021-01-16 Published : 2021-03-01

Keywords:

References:

[1] M. Abbas, M. Alikhan, S. Radenovic, Common coupled fixed point theorems in cone metric space for w-compatiable mapping, Appl. Math. Comput. 217 (2010), 195-202.

[2] O. Alghatani, E. Karapinar, P. Shahi, Common fixed-point results in function weighted metric space, J. Inequal Appl. 2019, 2019:164.

[3] H. Aydi, E. Karapinar, Tripled fixed point in ordered metric spaces, Bull. Math. Anal. Appl. 4 (1) (2012), 197-207.

[4] H. Aydi, E. Karapinar, Z.D. Mitrovic, T. Rashid, A remark on “Existence and uniqueness for a neutral
differential problem with unbounded delay via fixed point results F-metric spaces”, RACSAM. 113 (4) (2019), 3197-3206.

[5] H. Aydi, B. Samet, C. Vetro, Coupled fixed-point results in cone metric space for w-compatible mappings, Fixed point Theory Appl. 2011, 2011:27.

[6] A. Bera, H. Garai, B. Damjanovic, A. Chanda, Some interesting results on F-metric spaces, Filomat. 33 (10) (2019), 3257-3268.

[7] T. Bhaskar, V. lakshmikantham, Fixed point theorems in partially ordered metric space and applications, Nonlinear Anal. 65 (2006), 1379-1393.

[8] M. Filipovic, L. Paunovic, S. Radenovic, M. Rajovic, Remarks on “Cone metric spaces and fixed point
theorems of T-Kannan and T-Chatterjea contractive mappings”, Math. Comput. Modelling. 54 (2011), 1467-1472.

[9] M. Jleli, B. Samet, On a new generalization of metric spaces, J. Fixed Point Theory Appl. 20, 2018:128.

[10] V. Lakshmikantham, L. Ciric, Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces, Nonlinear Anal. 70 (12) (2009), 4341-4349.

[11] S. Moradi, Kannan fixed-point theorem on complete metric spaces and generalized metric spaces depended on another function, Int. J. Math. Anal. 5 (47) (2011), 2313-2320.

[12] J. R. Morales, E. Rojas, Some results on T-zamfirescu operators, Revista Notas de Matematica. 5 (1) (2009), 64-71.

[13] H. Rahimi, S. Radenovic, G. Soleimani Rad, P. Kumam, Quadrupled fixed point results in abstract metric spaces, Comp. Appl. Math. 33 (2014), 671-685.

[14] H. Rahimi, P. Vetro, G.S. Rad, Coupled fixed-point results for T-contractions on cone metric spaces with applications, Math Notes. 98 (2015), 158-167.

[15] F. Sabetghadam, H.P. Masiha, A.H. Sanatpour, Some coupled fixed point theorems in cone metric space, Fixed Point Theory Appl. 2009, 2009:125426.

[16] G. Soleimani Rad, S. Shukla, H. Rahimi, Some relations between n-tuple fixed point and fixed point results, RACSAM. 109 (2) (2015), 471-481.