The main purpose of this article is to discuss the existence of the common solution of secondorder nonlinear boundary value problems
$$\mathfrak{x}''(\jmath)=\Bbbk(\jmath,\mathfrak{x}(\jmath),\mathfrak{x}'(\jmath)),\quad\text{if}\:\jmath\in[0,\Lambda],\quad\Lambda>0,$$
$$\mathfrak{x}(\jmath_1)=\mathfrak{x}_1,\quad\mathfrak{x}(\jmath_2)=\mathfrak{x}_2,\quad\jmath_1,\jmath_2\in[0,\Lambda]$$
where $\Bbbk:[0,\Lambda]\times\mathfrak{S}(\mathcal{S})\times\mathfrak{S}(\mathcal{S})\rightarrow\mathfrak{S}(\mathcal{S})$ is a continuous function and $\mathfrak{S}(\mathcal{S})$ is a family of fuzzy sets.
In this regard we obtain common fixed point results for two pairs of fuzzy mappings satisfying rational contractive condition in the setting of complex valued metric spaces. Our results improve those reported in the existing literature.
Complex valued metric space, Fuzzy mapping, Fixed point, Common fixed point, Cauchy sequence, Contractive condition
Primary Language  English 

Subjects  Mathematics 
Journal Section  Mathematics 
Authors 

Publication Date  December 8, 2019 
Published in Issue  Year 2019, Volume 48, Issue 6 
Bibtex  @research article { hujms479179, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651477X}, eissn = {2651477X}, address = {}, publisher = {Hacettepe University}, year = {2019}, volume = {48}, number = {6}, pages = {1712  1728}, doi = {10.15672/HJMS.2018.633}, title = {Fuzzy fixed point results and applications to ordinary fuzzy differential equations in complex valued metric spaces}, key = {cite}, author = {Sarwar, Muhammad and , Humaira and Li, Tongxing} } 
APA  Sarwar, M. , , H. & Li, T. (2019). Fuzzy fixed point results and applications to ordinary fuzzy differential equations in complex valued metric spaces . Hacettepe Journal of Mathematics and Statistics , 48 (6) , 17121728 . DOI: 10.15672/HJMS.2018.633 
MLA  Sarwar, M. , , H. , Li, T. "Fuzzy fixed point results and applications to ordinary fuzzy differential equations in complex valued metric spaces" . Hacettepe Journal of Mathematics and Statistics 48 (2019 ): 17121728 <https://dergipark.org.tr/en/pub/hujms/issue/50516/479179> 
Chicago  Sarwar, M. , , H. , Li, T. "Fuzzy fixed point results and applications to ordinary fuzzy differential equations in complex valued metric spaces". Hacettepe Journal of Mathematics and Statistics 48 (2019 ): 17121728 
RIS  TY  JOUR T1  Fuzzy fixed point results and applications to ordinary fuzzy differential equations in complex valued metric spaces AU  Muhammad Sarwar , Humaira  , Tongxing Li Y1  2019 PY  2019 N1  doi: 10.15672/HJMS.2018.633 DO  10.15672/HJMS.2018.633 T2  Hacettepe Journal of Mathematics and Statistics JF  Journal JO  JOR SP  1712 EP  1728 VL  48 IS  6 SN  2651477X2651477X M3  doi: 10.15672/HJMS.2018.633 UR  https://doi.org/10.15672/HJMS.2018.633 Y2  2018 ER  
EndNote  %0 Hacettepe Journal of Mathematics and Statistics Fuzzy fixed point results and applications to ordinary fuzzy differential equations in complex valued metric spaces %A Muhammad Sarwar , Humaira  , Tongxing Li %T Fuzzy fixed point results and applications to ordinary fuzzy differential equations in complex valued metric spaces %D 2019 %J Hacettepe Journal of Mathematics and Statistics %P 2651477X2651477X %V 48 %N 6 %R doi: 10.15672/HJMS.2018.633 %U 10.15672/HJMS.2018.633 
ISNAD  Sarwar, Muhammad , , Humaira , Li, Tongxing . "Fuzzy fixed point results and applications to ordinary fuzzy differential equations in complex valued metric spaces". Hacettepe Journal of Mathematics and Statistics 48 / 6 (December 2019): 17121728 . https://doi.org/10.15672/HJMS.2018.633 
AMA  Sarwar M. ,  H. , Li T. Fuzzy fixed point results and applications to ordinary fuzzy differential equations in complex valued metric spaces. Hacettepe Journal of Mathematics and Statistics. 2019; 48(6): 17121728. 
Vancouver  Sarwar M. ,  H. , Li T. Fuzzy fixed point results and applications to ordinary fuzzy differential equations in complex valued metric spaces. Hacettepe Journal of Mathematics and Statistics. 2019; 48(6): 17121728. 
IEEE  M. Sarwar , H.  and T. Li , "Fuzzy fixed point results and applications to ordinary fuzzy differential equations in complex valued metric spaces", Hacettepe Journal of Mathematics and Statistics, vol. 48, no. 6, pp. 17121728, Dec. 2019, doi:10.15672/HJMS.2018.633 