TY - JOUR AU - Singh, K. Anthony AU - Singh, M. R. AU - Devi, M. Bina AU - Singh, Th. Chhatrajit PY - 2022 TI - Cone \(A_{b}\)-metric space and some coupled fixed point theorems JO - Journal of Mathematics and Computer Science SP - 246--255 VL - 24 IS - 3 AB - In this paper, we extend the definition of coupled fixed point to mappings on cone \(A_{b}\)-metric space and prove some coupled fixed point theorems. Our results extend the coupled fixed point results of Singh and Singh [K. A. Singh, M. R. Singh, J. Math. Comput. Sci., \(\bf 10\) (2020), 891--905] to cone \(A_{b}\)-metric space. An example is also given to illustrate the validity of our result. SN - ISSN 2008-949X UR - http://dx.doi.org/10.22436/jmcs.024.03.06 DO - 10.22436/jmcs.024.03.06 ID - Singh2022 ER -