FIXED POINT RESULTS IN FUZZY METRIC-LIKE SPACES

In this paper, the concept of fuzzy metric-like spaces is intro- duced which generalizes the notion of fuzzy metric spaces given by George and Veeramani (8). Some xed point results for fuzzy contractive mappings on fuzzy metric-like spaces are derived. These results generalize several compara- ble results from the current literature. We also provide illustrative examples in support of our new results where result from current literature are not ap- plicable.

[1]  Y. J. Cho,et al.  Coincidence point theorems and minimization theorems in fuzzy metric spaces , 1997, Fuzzy Sets Syst..

[2]  Mohd. Hasan,et al.  Common fixed point theorems in fuzzy metric spaces employing common property (E.A.) , 2012, Math. Comput. Model..

[3]  S. M. Kang,et al.  Common fixed points of compatible maps of type (β) on fuzzy metric spaces , 1998, Fuzzy Sets Syst..

[4]  Mohammad Imdad,et al.  Impact of Common Property (E.A.) on Fixed Point Theorems in Fuzzy Metric Spaces , 2011 .

[5]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

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

[7]  D. Qiu,et al.  On Convergence of Fixed Points in Fuzzy Metric Spaces , 2013 .

[8]  B. Schweizer,et al.  Statistical metric spaces. , 1960 .

[9]  C. T. Aage,et al.  On Fixed Point Theorems in Fuzzy Metric Spaces , 2010 .

[10]  W. Sintunavarat,et al.  Common Fixed Point Theorems in Fuzzy Metric Spaces Satisfying -Contractive Condition with Common Limit Range Property , 2013 .

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

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

[13]  W. Sintunavarat,et al.  Common fixed points for R-weakly commuting in fuzzy metric spaces , 2012, ANNALI DELL'UNIVERSITA' DI FERRARA.

[14]  Sanjay Kumar,et al.  Common fixed points of self maps satisfying an integral type contractive condition in fuzzy metric spaces , 2010 .

[15]  Wei Chen,et al.  Fixed point theorems for cyclic contraction mappings in fuzzy metric spaces , 2013 .

[16]  Ivan Kramosil,et al.  Fuzzy metrics and statistical metric spaces , 1975, Kybernetika.

[17]  M. S. El Naschie,et al.  On a Fuzzy Kähler-like Manifold which is Consistent with the Two Slit Experiment , 2005 .

[18]  Zike Deng,et al.  FUZZY PSEUDO-METRIC SPACES , 1982 .

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

[20]  Fixed point theorems in fuzzy metric spaces , 2013 .

[21]  A. Amini-Harandi,et al.  Metric-like spaces, partial metric spaces and fixed points , 2012, Fixed Point Theory and Applications.

[22]  Dorel Miheţ,et al.  Fixed point theorems in fuzzy metric spaces using property E.A. , 2010 .

[23]  Yonghong Shen,et al.  On Interval-Valued Fuzzy Metric Spaces , 2012 .