Journal of Mathematical Sciences: Advances and Applications Volume 65, 2021, Pages 59-84 Available at http://scientificadvances.co.in DOI: http://dx.doi.org/10.18642/jmsaa_7100122185 2020 Mathematics Subject Classification: 37C25, 47H10, 54H25, 55M20. Keywords and phrases: rectangular metric spaces, G-metric spaces, fixed point. Received February 22, 2021; Revised May 4, 2021  2021 Scientific Advances Publishers This work is licensed under the Creative Commons Attribution International License (CC BY 3.0). http://creativecommons.org/licenses/by/3.0/deed.en_US Open Access FIXED POINT THEOREMS ON GENERALIZED RECTANGULAR METRIC SPACES O. K. ADEWALE 1 , J. O. OLALERU 2 , H. OLAOLUWA 3 and H. AKEWE 4 Department of Mathematics University of Lagos Lagos Nigeria e-mail: adewalekayode2@yahoo.com jolaleru@unilag.edu.ng holaoluwa@unilag.edu.ng hakewe@unilag.edu.ng Abstract In this paper, we introduce the notion of generalized rectangular metric spaces which extends rectangular metric spaces introduced by Branciari. Analogues of the some well-known fixed point theorems are proved in this space. With an example, it is shown that a generalized rectangular metric space is neither a G-metric space nor a rectangular metric space. Our results generalize many known results in fixed point theory.