Rectangular b-metric space and contraction principles


R. George - Department of Mathematics and Computer Science, St. Thomas College, Bhilai, Chhattisgarh, India. S. Radenović - Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120, Beograd, Serbia. K. P. Reshma - Department of Mathematics, Government VYT PG Autonomous College, Durg, Chhattisgarh, India. S. Shukla - Department of Applied Mathematics, S.V.I.T.S. Indore (M.P.), India.


The concept of rectangular b-metric space is introduced as a generalization of metric space, rectangular metric space and b-metric space. An analogue of Banach contraction principle and Kannan's fixed point theorem is proved in this space. Our result generalizes many known results in fixed point theory.