Some coupled fixed point results under contraction conditions using linear and rational expression in dislocated quasi b-metric space
Abstract
This research paper aims to investigate a few coupled fixed point results in dislocated quasi b-metric spaces. We have established a coupled fixed point theorem for maps satisfying contraction condition using linear and rational expression in dislocated quasi b-metric space. To support our stated theorem and its corollaries, we have included an example.
Downloads
References
Z. Al Muhiameed, M. Bousselsal and Z. Mostefaoui, Some coupled fixed point results in dislocated quasi b-metric spaces for rational type contraction mappings, Asian Journal of Mathematics and Physics, 2(2018), 1-5.
S. Banach, Sur les operations dans les ensembles abstraits et leur applications aux equations integrales, Fundamenta Mathematicae, 3(1922), no. 1, 133-181.
N. Bourbaki, Topologie Generale, Herman, Paris, France, 1974.
I. A. Bakhtin, The contraction mapping principle in almost metric spaces, Funct. Anal., 30(1989), 26-37.
T. G. Bhaskar and V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Analysis: Theory, Methods and Applications, 65(2006), no. 7, 1379-1393.
S. Czerwik, Contraction mappings in b-metric spaces, Acta Math. Inform. Univ. Ostra, 1(1993), no. 1, 5-11.
D. Guo and V. Lakshmikantham, Coupled fixed points of nonlinear operators with applications, Nonlinear Analysis: Theory, Methods and Applications, 11(1987), no. 5, 623-632.
J. Kumar and S. Vashistha, Coupled fixed point theorem for generalized contraction in complex valued metric spaces, Int. Journal of Computer Applications, 83(2013), 36-40.
C. Klin-eam and C. Suanoom, Dislocated quasi b-metric spaces and fixed point theorems for cyclic contractions, Fixed Point Theory and Applications, 2015(2015), no. 74, 12 pages.
M. Mohammad, R. Jamal, J. Mishra, Q. A. Kabir and R. Bhardwaj, Coupled fixed point theorem and dislocated quasi metric space, International Journal of Pure and Applied Mathematics, 119(2018), no. 10, 1249-1260.
M. U. Rahman and M. Sarwar, Dislocated Quasi b-metric space and fixed point theorems, Electron J. Math Anal. Appl., 4(2016), no. 2, 16-24.
M. U. Rahman and M. Sarwar, Coupled fixed point theorem for rational contraction conditions in dislocated quasi metric space, Palestine Journal of Mathematics, 5(2016), no. 2, 6-11.
M. U. Rahman, New fixed point theorems in dislocated quasi b-metric space, Applied Mathematics and Information Sciences Letters, 5(2017), no. 1, 7-11.
M. U. Rahman, A. Ali, O. Aziz and M. U. Rahman, New common fixed point theorem in dislocated quasi b-metric space, Common. Nonlinear Anal., 2(2023), 1-6.
N. Seshagiri Rao and K. Kalyani, Coupled fixed point theorem with rational expressions in partially ordered metric spaces, The Journal of Analysis, 8(2020), 1085-1095.
M. Tesfaye, K. Koyas and S. Gebregiorgis, A coupled fixed point theorem for maps satisfying rational type contractive condition in dislocated quasi b-metric space, Open Journal of Mathematical Sciences, 4(2020), no. 4, 27-33.
Copyright (c) 2026 Boletim da Sociedade Paranaense de Matemática

This work is licensed under a Creative Commons Attribution 4.0 International License.
When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).
The journal utilize the Creative Common Attribution (CC-BY 4.0).



