TY - JOUR AU - Miheţ, Dorel PY - 2009 TI - ON KANNAN FIXED POINT PRINCIPLE IN GENERALIZED METRIC SPACES JO - Journal of Nonlinear Sciences and Applications SP - 92-96 VL - 2 IS - 2 AB - The concept of a generalized metric space, where the triangle inequality has been replaced by a more general one involving four points, has been recently introduced by Branciari. Subsequently, some classical metric fixed point theorems have been transferred to such a space. The aim of this note is to show that Kannan's fixed point theorem in a generalized metric space is a consequence of the Banach contraction principle in a metric space. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.002.02.03 DO - 10.22436/jnsa.002.02.03 ID - Miheţ2009 ER - TY - JOUR TI - A fixed point theorem for A-contractions on a class of generalized metric spaces AU - M. Akram AU - A. Siddiqui JO - Korean J. Math. Sciences PY - 2003 DA - 2003// VL - 10 (2) ID - Akram2003 ER - TY - JOUR TI - Kannan fixed point theorem on generalized metric spaces AU - A. Azam AU - M. Arshad JO - J. Nonlinear Sci. Appl. PY - 2008 DA - 2008// VL - 1 (1) ID - Azam2008 ER - TY - JOUR TI - A fixed point theorem of Banach-Caccioppoli type on a class of generalized metric spaces AU - A. Branciari JO - Publ. Math. Debrecen PY - 2000 DA - 2000// VL - 57 (1-2) ID - Branciari2000 ER - TY - JOUR TI - A generalization of Banach's contraction principle AU - Lb. Ćirić JO - Proc. Amer. Math. Soc. PY - 1974 DA - 1974// VL - 45(2) ID - Ćirić1974 ER - TY - JOUR TI - A fixed point theorem on a class of generalized metric spaces AU - P. Das JO - Korean J. Math. Sc. PY - 2002 DA - 2002// VL - 9 (1) ID - Das2002 ER - TY - JOUR TI - A fixed point theorem in a eneralized metric space AU - P. Das AU - L. K. Dey JO - Soochow Journal of Mathematics PY - 2007 DA - 2007// VL - 33 (1) ID - Das2007 ER - TY - JOUR TI - Fixed point of a Ljubomir Ćirić's quasi-contraction mapping in a generalized metric space AU - B. K. Lahiri AU - P. Das JO - Publ. Math. Debrecen PY - 2002 DA - 2002// VL - 61 (3-4) ID - Lahiri2002 ER - TY - JOUR TI - Some results on fixed points AU - R. Kannan JO - Bull. Cal. Math. Soc. PY - 1968 DA - 1968// VL - 60 ID - Kannan1968 ER - TY - JOUR TI - Banach's fixed point theorem implies Kannan's AU - D. N. Sarknel JO - Bull. Cal. Math. Soc. PY - 1999 DA - 1999// VL - 91 (2) ID - Sarknel1999 ER -