Kalpana, G.Tasneem, Z. Sumaiya2021-11-092021-11-092019-08-01https://doi.org/10.31801/cfsuasmas.598146http://hdl.handle.net/20.500.12575/75955The concept of C^{∗}-algebra-valued rectangular b-metric spaces is introduced as a generalization of C^{∗}-algebra-valued b-metric spaces. An analogue of Banach contraction principle and Kannan's fixed point theorem is proved in this space. As applications, existence and uniqueness results for a type of operator equation is given.enC^{∗}-algebraC^{∗}-algebra-valued rectangular b-metric spacesContractive mappingArticle682219822082618-6470