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 - TY - JOUR TI - Generalized coupled common fixed point results in partially ordered A-metric space AU - M. Abbas AU - B. Ali AU - Y. I. Suleiman JO - Fixed Point Theory Appl. PY - 2015 DA - 2015// VL - 2015 ID - Abbas2015 ER - TY - JOUR TI - The contraction mapping principle in quasimetric spaces AU - I. A. Bakhtin JO - Funct. Anal. Ulianowsk Gos. Ped. Inst. PY - 1989 DA - 1989// VL - 30 ID - Bakhtin1989 ER - TY - JOUR TI - Cone S-Metric Space and Fixed Point Theorems of Contractive Mappings AU - D. Dhamodharan AU - R. Krishnakumar JO - Ann. Pure Appl. Math. PY - 2017 DA - 2017// VL - 14 ID - Dhamodharan2017 ER - TY - JOUR TI - Fixed point in partially ordered metric spaces and applications AU - T. Gnana Bhaskar AU - V. Lakshmikantham JO - Nonlinear Anal. PY - 2006 DA - 2006// VL - 65 ID - Bhaskar2006 ER - TY - JOUR TI - Cone metric spaces and fixed point theorem of contractive mappings AU - L.-G. Huang AU - X. Zhang JO - J. Math. Anal. Appl. PY - 2007 DA - 2007// VL - 332 ID - Huang2007 ER - TY - JOUR TI - Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces AU - V. Lakshmikantham AU - L. Ćirić JO - Nonlinear Anal. PY - 2009 DA - 2009// VL - 70 ID - Lakshmikantham2009 ER - TY - JOUR TI - Complex valued Sb-metric spaces AU - N. Priyobarta AU - Y. Rohen AU - N. Mlaiki JO - J. Math. Anal. PY - 2017 DA - 2017// VL - 8 ID - Priyobarta2017 ER - TY - JOUR TI - Some coupled fixed point theorems in cone metric spaces AU - F. Sabetghadam AU - H. P. Masiha AU - A. H. Sanatpour JO - Fixed Point Theory Appl. PY - 2009 DA - 2009// VL - 2009 ID - Sabetghadam2009 ER - TY - JOUR TI - A generalization of fixed point in $S$-metric spaces AU - S. Sedghi AU - N. Shobe AU - A. Aliouche JO - Mat. Vesnik PY - 2012 DA - 2012// VL - 64 ID - Sedghi2012 ER - TY - JOUR TI - Some fixed point theorems of cone Sb-metric space AU - K. A. Singh AU - M. R. Singh JO - J. Indian Acad. Math. PY - 2018 DA - 2018// VL - 40 ID - Singh2018 ER - TY - JOUR TI - Some coupled fixed point theorems in cone Sb-metric space AU - K. A. Singh AU - M. R. Singh JO - J. Math. Comput. Sci. PY - 2020 DA - 2020// VL - 10 ID - Singh2020 ER - TY - JOUR TI - Some fixed point theorems in cone Ab-metric space AU - K. A. Singh AU - M. R. Singh AU - T. Chhatrajit Singh JO - Electron. J. Math. Anal. Appl. PY - 2021 DA - 2021// VL - 9 ID - Singh2021 ER - TY - JOUR TI - A fixed point theorem in Sb-metric spaces AU - N. Souayah AU - N. Mlaiki JO - J. Math. Computer Sci. PY - 2016 DA - 2016// VL - 16 ID - Souayah2016 ER - TY - JOUR TI - Some fixed point theorems in Ab-metric space AU - M. Ughade AU - D. Turkoglu AU - S. Raj Singh AU - R. D. Daheriya JO - British J. Math. Comput. Sci. PY - 2016 DA - 2016// VL - 19 ID - Ughade2016 ER -