TY - JOUR AU - Sharma, P. K. AU - Sharma, Sh. PY - 2022 TI - Prevalent fixed point theorems on MIFM-Spaces using the (\(CLR_{SR}\)) property and implicit function JO - Journal of Mathematics and Computer Science SP - 341--350 VL - 25 IS - 4 AB - The main goal of this study is to use an implicit function to demonstrate the existence of a common fixed point on modified intuitionistic fuzzy metric spaces by using the concept of common limit range property with regard to two self-mappings \(S\) and \(R\), i.e., (\(CLR_{SR}\)) property. Our primary result is supported by an example that validates the hypotheses of our result. Our findings improve and generalize the findings of Tanveer et al. [M. Tanveer, M. Imdad, D. Gopal, D. K. Patel, Fixed Point Theory Appl., \(\bf 2012\) (2012), 1--12], and other existing results related to this study. SN - ISSN 2008-949X UR - http://dx.doi.org/10.22436/jmcs.025.04.04 DO - 10.22436/jmcs.025.04.04 ID - Sharma2022 ER - TY - JOUR TI - Some new common fixed point theorems under strict contractive conditions AU - M. Aamri AU - D. El Moutawakil JO - J. Math. Anal. Appl. PY - 2002 DA - 2002// VL - 270 ID - Aamri2002 ER - TY - JOUR TI - Common fixed point theorems in intuitionistic fuzzy metric spaces AU - H. M. Abu-Donia AU - A. A. Nasef JO - Fuzzy Syst. Math. PY - 2008 DA - 2008// VL - 22 ID - Abu-Donia2008 ER - TY - JOUR TI - Fixed points in intuitionistic fuzzy metric spaces AU - C. Alaca AU - D. Turkoglu AU - C. Yildiz JO - Chaos Solitons Fractals PY - 2006 DA - 2006// VL - 29 ID - Alaca2006 ER - TY - JOUR TI - Intuitionistic fuzzy sets AU - K. T. Atanassov JO - Fuzzy Sets and Systems PY - 1986 DA - 1986// VL - 20 ID - Atanassov1986 ER - TY - JOUR TI - Coupled common fixed point theorems of Cir´ic type g-weak contractions with CLRg property AU - G. V. R. Babu AU - P. Subhashini JO - Journal of Nonlinear Analysis and Optimization PY - 2013 DA - 2013// VL - 4 ID - Babu2013 ER - TY - JOUR TI - The existence theorems for fixed and periodic points of nonexpansive mappings in intuitionistic fuzzy metric spaces AU - L. B. Ciric AU - S. N. Jesic AU - J. S. Ume JO - Chaos Solitons Fractals PY - 2008 DA - 2008// VL - 37 ID - Ciric2008 ER - TY - JOUR TI - Coincidence and common fixed point theorems in modified intuitionistic fuzzy metric spaces AU - S. Chauhan AU - M. Imdad AU - B. Samet JO - Math. Comput. Model. PY - 2013 DA - 2013// VL - 58 ID - Chauhan2013 ER - TY - JOUR TI - Unified metrical common fixed point theorems in 2-metric spaces via an implicit relation AU - S. Chauhan AU - M. Imdad AU - C. Vetro JO - Journal of Operators PY - 2013 DA - 2013// VL - 2013 ID - Chauhan2013 ER - TY - JOUR TI - Unified fixed point theorems in fuzzy metric spaces via common limit range property AU - S. Chauhan AU - M. A. Khan AU - S. Kumar JO - J. Inequal. Appl. PY - 2013 DA - 2013// VL - 2013 ID - Chauhan2013 ER - TY - JOUR TI - Common fixed point theorems in fuzzy metric spaces satisfying φ-contractive condition with common limit range property AU - S. Chauhan AU - M. A. Khan AU - W. Sintunavarat JO - Abstract and Applied Analysis PY - 2013 DA - 2013// VL - 2013 ID - Chauhan2013 ER - TY - JOUR TI - Common fixed point theorems for R-weakly commuting mappings with a common limit in the range property AU - S. Chauhan AU - B. D. Pant AU - S. Radenovic JO - J. Indian Math. Soc. PY - 2014 DA - 2014// VL - 81 ID - Chauhan2014 ER - TY - JOUR TI - An introduction to intuitionistic fuzzy topological spaces AU - D. Coker JO - Fuzzy Sets and Systems PY - 1997 DA - 1997// VL - 88 ID - Coker1997 ER - TY - JOUR TI - On the representation of intuitionistic fuzzy t-norm and t-conorm AU - G. Deschrijver AU - C. Cornelis AU - E. E. Kerre JO - IEEE Transactions on Fuzzy Systems PY - 2004 DA - 2004// VL - 12 ID - Deschrijver2004 ER - TY - JOUR TI - On the relationship between some extensions of fuzzy set theory AU - G. Deschrijver AU - E. E. Kerre JO - Fuzzy Sets and Systems PY - 2003 DA - 2003// VL - 133 ID - Deschrijver2003 ER - TY - JOUR TI - On some results in fuzzy metric spaces AU - A. George AU - P. Veeramani JO - Fuzzy Sets and Systems PY - 1994 DA - 1994// VL - 64 ID - George1994 ER - TY - JOUR TI - A note on intuitionistic fuzzy metric spaces AU - V. Gregori AU - S. Romaguera AU - P. Veeramani JO - Chaos Solitons Fractals PY - 2006 DA - 2006// VL - 28 ID - Gregori2006 ER - TY - JOUR TI - On almost contractions in partially ordered metric spaces via implicit relations AU - U. Gul AU - E. Karapınar JO - J. Inequal. Appl. PY - 2012 DA - 2012// VL - 2012 ID - Gul2012 ER - TY - JOUR TI - A coupled coincidence point theorem in partially ordered metric spaces with an implicit relation AU - S. Gulyaz AU - E. Karapınar AU - I S. Yuce JO - Fixed Point Theory Appl. PY - 2013 DA - 2013// VL - 2013 ID - Gulyaz2013 ER - TY - JOUR TI - Some coupled fixed point results on modified intuitionistic fuzzy metric spaces and application to integral type contraction AU - V. Gupta AU - R. K. Saini AU - A. Kanwar JO - Iran. J. Fuzzy Syst. PY - 2017 DA - 2017// VL - 14 ID - Gupta2017 ER - TY - JOUR TI - Common fixed point theorems for families of compatible mappings in intuitionistic fuzzy metric spaces AU - X. Huang AU - C. Zhu AU - X. Wen JO - Ann. Univ. Ferrara Sez. VII Sci. Mat. PY - 2010 DA - 2010// VL - 56 ID - Huang2010 ER - TY - JOUR TI - Coupled coincidence point theorem in partially ordered metric spaces via implicit relation AU - N. M. Hung AU - E. Karapınar AU - N. V. Luong JO - Abstr. Appl. Anal. PY - 2012 DA - 2012// VL - 2012 ID - Hung2012 ER - TY - JOUR TI - Common fixed point theorems in modified intuitionistic fuzzy metric spaces AU - M. Imdad AU - J. Ali AU - M. Hasan JO - Iran. J. Fuzzy Syst. PY - 2012 DA - 2012// VL - 9 ID - Imdad2012 ER - TY - JOUR TI - Coincidence and common fixed point theorems for nonlinear contractions in Menger PM spaces AU - M. Imdad AU - J. Ali AU - M. Tanveer JO - Chaos Solitons Fractals PY - DA - // VL - ID - Imdad ER - TY - JOUR TI - Employing common limit range property to prove unified metrical common fixed point theorems AU - M. Imdad AU - S. Chauhan JO - Int. J. Anal., PY - 2013 DA - 2013// VL - 2013 ID - Imdad2013 ER - TY - JOUR TI - Fixed point theorems in Menger spaces using the (CLRST) property and applications AU - M. Imdad AU - B. D. Pant AU - S. Chauhan JO - J. Nonlinear Anal. Optim. PY - 2012 DA - 2012// VL - 3 ID - Imdad2012 ER - TY - JOUR TI - Compatibility of type (P) in modified intuitionistic fuzzy metric space AU - S. Jain AU - S. Jain AU - L. Bahadur Jain JO - J. Nonlinear Sci. Appl. PY - 2010 DA - 2010// VL - 3 ID - Jain2010 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 - Compatible mappings and common fixed points AU - G. Jungck JO - Internat. J. Math. Math. Sci. PY - 1986 DA - 1986// VL - 9 ID - Jungck1986 ER - TY - JOUR TI - Fixed points for set-valued functions without continuity AU - G. Jungck AU - B. E. Rhoades JO - Indian J. Pure Appl. Math. PY - 1998 DA - 1998// VL - 29 ID - Jungck1998 ER - TY - JOUR TI - Some common fixed point theorems using (CLRg) property in cone metric spaces AU - M. Kumar AU - P. Kumar AU - S. Kumar JO - Adv. Fixed Point Theory PY - 2012 DA - 2012// VL - 2 ID - Kumar2012 ER - TY - JOUR TI - Common fixed points of single-valued and multivalued maps AU - Y. Liu AU - J. Wu AU - Z. Li JO - Int. J. Math. Math. Sci. PY - 2005 DA - 2005// VL - 19 ID - Liu2005 ER - TY - JOUR TI - On intuitionistic gradation of openness AU - T. K. Mondal AU - S. K. Samanta JO - Fuzzy Sets and Systems PY - 2002 DA - 2002// VL - 131 ID - Mondal2002 ER - TY - JOUR TI - Common fixed point theorems for contractive maps AU - R. P. Pant JO - J. Math. Anal. Appl. PY - 1998 DA - 1998// VL - 226 ID - Pant1998 ER - TY - JOUR TI - Common fixed point of weakly compatible maps on intuitionistic fuzzy metric spaces AU - B. D. Pant AU - S. Kumar AU - S. Chauhan JO - J. Adv. Stud. Topol. PY - 2010 DA - 2010// VL - 1 ID - Pant2010 ER - TY - JOUR TI - Intuitionistic fuzzy metric spaces AU - J. H. Park JO - Chaos Solitons Fractals PY - 2004 DA - 2004// VL - 22 ID - Park2004 ER - TY - JOUR TI - Modified intuitionistic fuzzy metric spaces and some fixed point theorems AU - R. Saadati AU - S. Sedghi AU - N. Shobe JO - Chaos Solitons Fractals PY - 2008 DA - 2008// VL - 38 ID - Saadati2008 ER - TY - JOUR TI - Common fixed point theorems in intuitionistic fuzzy metric spaces through conditions of integral type AU - S. Sedghi AU - N. Shobe AU - A. Aliouche JO - Appl. Math. Inf. Sci. PY - 2008 DA - 2008// VL - 2 ID - Sedghi2008 ER - TY - JOUR TI - Some common fixed point theorems for a sequence of self mappings in fuzzy metric space with property (CLRg) AU - P. K. Sharma JO - J. Math. Comput. Sci. PY - 2020 DA - 2020// VL - 10 ID - Sharma2020 ER - TY - JOUR TI - Common fixed point theorems for a finite number of mappings without continuity and compatibility on intuitionistic fuzzy metric spaces AU - S. Sharma AU - B. Deshpande JO - Chaos Solitons Fractals PY - 2009 DA - 2009// VL - 40 ID - Sharma2009 ER - TY - JOUR TI - New results on modified intuitionistic generalized fuzzy metric spaces by employing E.A property and common E.A property for coupled maps AU - W. Shatanawi AU - V. Gupta AU - A. Kanwar JO - Journal of Intelligent and Fuzzy Systems PY - 2020 DA - 2020// VL - 38 ID - Shatanawi2020 ER - TY - JOUR TI - Some fixed point results in modified intuitionistic fuzzy metric spaces AU - W. Sintunavarat AU - S. Chauhan AU - P. Kumam JO - Afr. Mat. PY - 2014 DA - 2014// VL - 25 ID - Sintunavarat2014 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 - TY - JOUR TI - Fixed point theorems for a generalized intuitionistic fuzzy contraction in intuitionistic fuzzy metric spaces AU - W. Sintunavarat AU - P. Kumam JO - Thai J. Math. PY - 2012 DA - 2012// VL - 10 ID - Sintunavarat2012 ER - TY - JOUR TI - Common fixed points for R-weakly commuting in fuzzy metric spaces AU - W. Sintunavarat AU - P. Kumam JO - Ann. Univ. Ferrara Sez. VII Sci. Mat. PY - 2012 DA - 2012// VL - 58 ID - Sintunavarat2012 ER - TY - JOUR TI - Common fixed point theorems in modified intuitionistic fuzzy metric spaces with common property (E.A.) AU - M. Tanveer AU - M. Imdad AU - D. Gopal AU - D. K. Patel JO - Fixed Point Theory Appl. PY - 2012 DA - 2012// VL - 2012 ID - Tanveer2012 ER - TY - JOUR TI - Common fixed point theorems using property (E.A) in complex-valued metric spaces AU - R. K. Verma AU - H. K. Pathak JO - Thai J. Math. PY - 2013 DA - 2013// VL - 11 ID - Verma2013 ER - TY - JOUR TI - Fuzzy sets AU - L. A. Zadeh JO - Inform. Control PY - 1965 DA - 1965// VL - 8 ID - Zadeh1965 ER -