TY - JOUR AU - George, R. AU - Radenović, S. AU - Reshma, K. P. AU - Shukla, S. PY - 2015 TI - Rectangular b-metric space and contraction principles JO - Journal of Nonlinear Sciences and Applications SP - 1005--1013 VL - 8 IS - 6 AB - 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. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.008.06.11 DO - 10.22436/jnsa.008.06.11 ID - George2015 ER - TY - JOUR TI - Locally convex valued rectangular metric spaces and Kannan's fixed point theorem AU - T. Abdeljawad AU - D. Turkoglu JO - arXiv PY - 2011 DA - 2011// VL - 2011 ID - Abdeljawad2011 ER - TY - JOUR TI - A common fixed point for weak \(\phi\)-contractions on b-metric spaces AU - H. Aydi AU - M. F. Bota AU - E. Karapinar AU - S. Moradi JO - Fixed Point Theory PY - 2012 DA - 2012// VL - 13 ID - Aydi2012 ER - TY - JOUR TI - Kannan Fixed Point Theorems on generalised metric spaces AU - A. Azam AU - M. Arshad JO - J. Nonlinear Sci. Appl. PY - 1 DA - 1// VL - 2008 ID - Azam1 ER - TY - JOUR TI - Banach contraction principle on cone rectangular metric spaces AU - A. Azam AU - M. Arshad AU - I. Beg JO - Appl. Anal. Discrete Math. PY - 2009 DA - 2009// VL - 3 ID - Azam2009 ER - TY - JOUR TI - The contraction mapping principle in quasimetric spaces AU - I. A. Bakhtin JO - Funct. Anal., Unianowsk Gos. Ped. Inst. PY - 1989 DA - 1989// VL - 30 ID - Bakhtin 1989 ER - TY - JOUR TI - Strict fixed point theorems for multivalued operators in b-metric spaces AU - M. Boriceanu JO - Inter. J. Mod. Math. PY - 2009 DA - 2009// VL - 4 ID - Boriceanu2009 ER - TY - JOUR TI - Mutivalued fractals in b-metric spaces AU - M. Boriceanu AU - M. Bota AU - A. Petrusel JO - Cen. Eur. J. Math. PY - 2010 DA - 2010// VL - 8 ID - Boriceanu2010 ER - TY - JOUR TI - On Ekeland's variational principle in b-metric spaces AU - M. Bota AU - A. Molnar AU - V. Csaba JO - Fixed Point Theory PY - 2011 DA - 2011// VL - 12 ID - Bota2011 ER - TY - JOUR TI - A fixed point theorem of Banach-Caccippoli type on a class of generalised metric spaces AU - A. Branciari JO - Publ. Math. Debrecen PY - 2000 DA - 2000// VL - 57 ID - Branciari2000 ER - TY - JOUR TI - Common fixed point theorem in complete generalized metric spaces AU - C. N. Chen JO - J. Appl. Math. PY - 2012 DA - 2012// VL - 2012 ID - Chen2012 ER - TY - JOUR TI - Contraction mappings in b-metric spaces AU - S. Czerwik JO - Acta. Math. Inform. Univ. Ostraviensis PY - 1993 DA - 1993// VL - 1 ID - Czerwik 1993 ER - TY - JOUR TI - Nonlinear set-valued contraction mappings in b-metric spaces AU - S. Czerwik JO - Atti Sem. Mat. Univ. Modena PY - 1998 DA - 1998// VL - 46 ID - Czerwik 1998 ER - TY - JOUR TI - Round-off stability of iteration procedures for operators in b-metric spaces AU - S. Czerwik AU - K. Dlutek AU - S. L. Singh JO - J. Natur. Phys. Sci. PY - 1997 DA - 1997// VL - 11 ID - Czerwik1997 ER - TY - JOUR TI - Round-off stability of iteration procedures for set valued operators in b-metric spaces AU - S. Czerwik AU - K. Dlutek AU - S. L. Singh JO - J. Natur. Phys. Sci. PY - 2001 DA - 2001// VL - 15 ID - Czerwik2001 ER - TY - JOUR TI - A fixed point theorem on a class of generalized metric spaces AU - P. Das JO - Korean J. Math. Sci. PY - 2002 DA - 2002// VL - 9 ID - Das2002 ER - TY - JOUR TI - A fixed point theorem in generalized metric spaces AU - P. Das JO - Soochow J. Math. PY - 2007 DA - 2007// VL - 33 ID - Das2007 ER - TY - JOUR TI - Fixed point of a Ljubomir Ciric's quasi-contraction mapping in a generalized metric space AU - P. Das AU - B. K. Lahri JO - Publ. Math. Debrecen PY - 2002 DA - 2002// VL - 61 ID - Das2002 ER - TY - JOUR TI - Fixed Point of contractive mappings in generalised metric space AU - P. Das AU - B. K. Lahri JO - Math. Slovaca PY - 2009 DA - 2009// VL - 59 ID - Das2009 ER - TY - JOUR TI - Fixed Points of (psi, phi) contractions on generalised metric spaces AU - I. M. Erhan AU - E. Karapinar AU - T. Sekulic JO - Fixed Point Theory Appl. PY - 2012 DA - 2012// VL - 2012 ID - Erhan2012 ER - TY - JOUR TI - Some generalised results of fixed points in cone b-metric spaces AU - R. George AU - B. Fisher JO - Math. Moravic. PY - 2013 DA - 2013// VL - 17 ID - George2013 ER - TY - JOUR TI - Maps for which\( F(T) = F(T^n)\) AU - G. S. Jeong AU - B. E. Rhoades JO - Fixed Point Theory Appl. PY - 2007 DA - 2007// VL - 6 ID - Jeong2007 ER - TY - JOUR TI - The Kannan's fixed point theorem in cone rectangular metric space AU - M. Jleli AU - B. Samet JO - J. Nonlinear Sci. Appl. PY - 2009 DA - 2009// VL - 2 ID - Jleli2009 ER - TY - JOUR TI - Fixed Points for (\(\psi,\phi\))-weakly contractive mapping in generalised metric spaces AU - H. Lakzian AU - B. Samet JO - Appl. Math. Lett. PY - 2012 DA - 2012// VL - 25 ID - Lakzian2012 ER - TY - JOUR TI - Partial Metric Topology AU - S. G. Mathews JO - Papers on general topology appl., Ann. New York Acad. Sci. PY - 1994 DA - 1994// VL - 728 ID - Mathews 1994 ER - TY - JOUR TI - On Kannan fixed point result in generalised metric spaces AU - D. Mihet JO - J. Nonlinear Sci. Appl. PY - 2009 DA - 2009// VL - 2 ID - Mihet2009 ER - TY - JOUR TI - Contractions over generalised metric spaces AU - I. R. Sarma AU - J. M. Rao AU - S. S. Rao JO - J. Nonlinear Sci. Appl. PY - 2009 DA - 2009// VL - 2 ID - Sarma2009 ER -