Rectangular b-metric space and contraction principles


Authors

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.


Abstract

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.


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ISRP Style

R. George, S. Radenović, K. P. Reshma, S. Shukla, Rectangular b-metric space and contraction principles, Journal of Nonlinear Sciences and Applications, 8 (2015), no. 6, 1005--1013

AMA Style

George R., Radenović S., Reshma K. P., Shukla S., Rectangular b-metric space and contraction principles. J. Nonlinear Sci. Appl. (2015); 8(6):1005--1013

Chicago/Turabian Style

George, R., Radenović, S., Reshma, K. P., Shukla, S.. "Rectangular b-metric space and contraction principles." Journal of Nonlinear Sciences and Applications, 8, no. 6 (2015): 1005--1013


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