A note on convergence in fuzzy metric spaces

The authors are grateful to the referees for their valuable suggestions. Valentin Gregori acknowledges the support of Spanish Ministry of Education and Science under Grant MTM 2012-37894-C02-01 and the support of Universitat Politecnica de Valencia under Grant PAID-06-12 SP20120471. Juan Jose Miriana acknowledges the support of Conselleria de Educacion, Formacion y Empleo (Programa Vali+d para investigadores en formacion) of Generalitat Valenciana, Spain, ACIF/2012/040, and the support of Universitat Politecnica de Valencia under Grant PAID-06-12 SP20120471.

[1]  Valentín Gregori,et al.  Some properties of fuzzy metric spaces , 2000, Fuzzy Sets Syst..

[2]  A. George,et al.  On some results in fuzzy metric spaces , 1994 .

[3]  Samuel Morillas,et al.  A fast impulsive noise color image filter using fuzzy metrics , 2005, Real Time Imaging.

[4]  Naser Abbasi,et al.  On best approximation in fuzzy metric spaces , 2015, Kybernetika.

[5]  P. Veeramani,et al.  On some results of analysis for fuzzy metric spaces , 1997, Fuzzy Sets Syst..

[6]  Almanzor Sapena Piera,et al.  A contribution to the study of fuzzy metric spaces , 2001 .

[7]  Manuel Sanchis,et al.  On fuzzy metric groups , 2001, Fuzzy Sets Syst..

[8]  Salvador Romaguera,et al.  The Hausdor$ fuzzy metric on compact sets , 2004 .

[9]  Samuel Morillas,et al.  Fuzzy analysis for detection of inconsistent data in experimental datasets employed at the development of the CIEDE2000 colour-difference formula , 2009 .

[10]  Samuel Morillas,et al.  Fuzzy Peer Groups for Reducing Mixed Gaussian-Impulse Noise From Color Images , 2009, IEEE Transactions on Image Processing.

[11]  Dorel Mihet,et al.  A Banach contraction theorem in fuzzy metric spaces , 2004, Fuzzy Sets Syst..

[12]  Salvador Romaguera,et al.  Examples of non-strong fuzzy metrics , 2011, Fuzzy Sets Syst..

[13]  Samuel Morillas,et al.  Fast detection and removal of impulsive noise using peer groups and fuzzy metrics , 2008, J. Vis. Commun. Image Represent..

[14]  Dorel Miheţ On Fuzzy -Contractive Mappings in Fuzzy Metric Spaces , 2007 .

[15]  Samuel Morillas,et al.  On convergence in fuzzy metric spaces , 2009 .

[16]  Valentín Gregori,et al.  On completion of fuzzy metric spaces , 2002, Fuzzy Sets Syst..

[17]  Samuel Morillas,et al.  Some questions in fuzzy metric spaces , 2012, Fuzzy Sets Syst..

[18]  Samuel Morillas,et al.  Local self-adaptive fuzzy filter for impulsive noise removal in color images , 2008, Signal Process..

[19]  Samuel Morillas,et al.  Two-step fuzzy logic-based method for impulse noise detection in colour images , 2010, Pattern Recognit. Lett..

[20]  Samuel Morillas,et al.  New adaptive vector filter using fuzzy metrics , 2007, J. Electronic Imaging.

[21]  Salvador Romaguera,et al.  Quasi-uniform isomorphisms in fuzzy quasi-metric spaces, bicompletion and D-completion , 2007 .

[22]  Valentín Gregori,et al.  Characterizing completable fuzzy metric spaces , 2004, Fuzzy Sets Syst..

[23]  Mariusz Grabiec,et al.  Fixed points in fuzzy metric spaces , 1988 .

[24]  Samuel Morillas,et al.  On a class of completable fuzzy metric spaces , 2010, Fuzzy Sets Syst..

[25]  Samuel Morillas,et al.  Isolating impulsive noise pixels in color images by peer group techniques , 2008, Comput. Vis. Image Underst..

[26]  Valentín Gregory,et al.  Some properites of fuzzy metric spaces , 2000 .