TY - JOUR AU - Wang, Shuang AU - Qian, Dingbian PY - 2019 TI - Common fixed point theorems in Menger probabilistic metric spaces using the CLRg property JO - Journal of Nonlinear Sciences and Applications SP - 48--55 VL - 12 IS - 1 AB - Under some weaker conditions of the \(\varphi\), some common fixed point theorems for weakly compatible mappings are established in Menger probabilistic metric spaces. Using the CLRg property, our results show that the completeness of underlying spaces is not necessary for fixed point theorems. In order to illustrate our results, we provide two examples in which other theorems cannot be applied. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.012.01.05 DO - 10.22436/jnsa.012.01.05 ID - Wang2019 ER - TY - JOUR TI - Common coupled fixed point theorems in cone metric spaces for w-compatible mappings AU - M. Abbas AU - M. Ali Khan AU - S. Radenovic JO - Appl. Math. Comput. PY - 2010 DA - 2010// VL - 217 ID - Abbas2010 ER - TY - JOUR TI - Solving the Banach fixed point principle for nonlinear contractions in probabilistic metric spaces AU - L. Ćirić JO - Nonlinear Anal. PY - 2010 DA - 2010// VL - 72 ID - Ćirić 2010 ER - TY - JOUR TI - Common fixed point theorems of compatible and weakly compatible maps in Menger spaces AU - J.-X. Fang JO - Nonlinear Anal. PY - 2009 DA - 2009// VL - 71 ID - Fang2009 ER - TY - JOUR TI - On \(\varphi\)-contractions in probabilistic and fuzzy metric spaces AU - J.-X. Fang JO - Fuzzy Sets and Systems PY - 2015 DA - 2015// VL - 267 ID - Fang2015 ER - TY - BOOK TI - Fixed Point Theory in Probabilistic Metric Spaces AU - O. Hadžić AU - E. Pap PB - Kluwer Academic Publishers PY - 2001 DA - 2001// CY - Dordrecht ID - Hadžić2001 ER - TY - JOUR TI - Common coupled fixed point theorems for contractive mappings in fuzzy metric spaces AU - X.-Q. Hu JO - Fixed Point Theory Appl. PY - 2011 DA - 2011// VL - 2011 ID - Hu 2011 ER - TY - JOUR TI - Common coupled fixed point theorems for weakly compatible mappings in fuzzy metric spaces AU - X.-Q. Hu AU - M.-X. Zheng AU - B. Damjanović AU - X.-F. Shao JO - Fixed Point Theory Appl. PY - 2013 DA - 2013// VL - 2013 ID - Hu2013 ER - TY - JOUR TI - On probabilistic \(\phi\)-contractions on Menger spaces AU - J. Jachymski JO - Nonlinear Anal. PY - 2010 DA - 2010// VL - 73 ID - Jachymski2010 ER - TY - JOUR TI - Coupled fixed point theorems for a pair of weakly compatible maps along with CLRg property in fuzzy metric spaces AU - M. Jain AU - K. Tas AU - S. Kumar AU - N. Gupta JO - J. Appl. Math. PY - 2012 DA - 2012// VL - 2012 ID - Jain2012 ER - TY - JOUR TI - Statistical metrics AU - K. Menger JO - Proc. Natl. Acad. Sci. PY - 1942 DA - 1942// VL - 1942 ID - Menger 1942 ER - TY - JOUR TI - Nonlinear contraction theorems in probabilistic spaces AU - D. O’Regan AU - R. Saadati JO - Appl. Math. Comput. PY - 2008 DA - 2008// VL - 195 ID - O’Regan2008 ER - TY - JOUR TI - Common fixed point theorems in fuzzy metric spaces using the CLRg property AU - A.-F. Roldn-Lpez-de-Hierro AU - W. Sintunavarat JO - Fuzzy Sets and Systems PY - 2016 DA - 2016// VL - 282 ID - Roldn-Lpez-de-Hierro2016 ER - TY - BOOK TI - Probabilistic Metric Spaces AU - B. Schweizer AU - A. Sklar PB - Dover Publications PY - 2005 DA - 2005// CY - New York ID - Schweizer2005 ER - TY - JOUR TI - Fixed points of contraction mappings on probabilistic metric spaces AU - V. M. Sehgal AU - A. T. Bharucha-Reid JO - Math. Systems Theory PY - 1972 DA - 1972// VL - 6 ID - Sehgal1972 ER - TY - JOUR TI - Common fixed point theorems for a pair of weakly compatible mappings in fuzzy metric spaces AU - W. Sintunavarat AU - P. Kumam JO - J. Appl. Math. PY - 2011 DA - 2011// VL - 2011 ID - Sintunavarat2011 ER -