Fixed Point Results for Rational Type Contraction in A-Metric Spaces
Asian Journal of Probability and Statistics,
The goal of this paper is to define rational contraction in the context of A-metric spaces and to develop various fixed-point theorems in order to elaborate, generalize, and synthesize several previously published results. Finally, to illustrate the new theorem, an example is given.
- A-metric space
- rational contraction
- fixed point.
How to Cite
Bakhtin IA. The contraction mapping principle in almost metric spaces. Funct. Anal., Gos. Ped. Inst. Unianowsk. 1989;30:26-37.
Czerwik S. Contraction mappings in b-metric spaces, Acta Mathematica et Informatica Universitatis Ostraviensis. 1993;1:5–11.
Czerwik S. Nonlinear Set-Valued Contraction Mappings in b-Metric Spaces. Atti del Seminario Matematicoe Fisico (Dell'Univ. di Modena). 1998;46:263-276.
Sedghi S, Shobe N, Aliouche A. A generalization of fixed point theorem in S-metric spaces, Mat. Vesnik. 2012;64:258 -266.
Souayah N, Mlaiki N. A fixed point theorem in Sb-metric spaces, J. Math. Computer Sci. 2016;16:131-139.
Abbas M, Ali B, Suleiman Y I. Generalized coupled common fixed-point results in partially ordered A-metric spaces, Fixed Point Theory and Applications. 2015;64.
Dass BK, Gupta S: An extension of Banach contraction principle through rational expressions. Indian J. Pure Appl. Math. 1975;6:1455–1458.
Ughade M, Turkoglu D, Singh SR, Daheriya RD. Some Fıxed Poınt Theorems ın A_b-Metrıc Space, British Journal of Mathematics & Computer Science. 2016;19(6):1-24.
Article no. BJMCS_29828.
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