TY - JOUR
T1 - Fixed Point Theorem on Fuzzy Metric Space
AU - Zicky, Lukman
AU - Sunarsini,
AU - Gusti Ngurah Rai Usadha, I.
N1 - Publisher Copyright:
© Published under licence by IOP Publishing Ltd.
PY - 2019/5/31
Y1 - 2019/5/31
N2 - Metric that are commonly understood as functions of distance have an important role in analysis and applied mathematics. However, metric (for example Euclid) which are based on the Crisp concept, are not suitable for certain cases such as the definition of the distance between two pixels in image analysis which is often interpreted as two pixel resemblance. Therefore, in this paper the concept of fuzzy metric is developed based on fuzzy concepts. This fuzzy metric is then applied to convergence problems and fixed point problems. It was concluded that some properties in ordinary metric still apply to fuzzy metric.
AB - Metric that are commonly understood as functions of distance have an important role in analysis and applied mathematics. However, metric (for example Euclid) which are based on the Crisp concept, are not suitable for certain cases such as the definition of the distance between two pixels in image analysis which is often interpreted as two pixel resemblance. Therefore, in this paper the concept of fuzzy metric is developed based on fuzzy concepts. This fuzzy metric is then applied to convergence problems and fixed point problems. It was concluded that some properties in ordinary metric still apply to fuzzy metric.
UR - http://www.scopus.com/inward/record.url?scp=85067832132&partnerID=8YFLogxK
U2 - 10.1088/1742-6596/1218/1/012062
DO - 10.1088/1742-6596/1218/1/012062
M3 - Conference article
AN - SCOPUS:85067832132
SN - 1742-6588
VL - 1218
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
IS - 1
M1 - 012062
T2 - 3rd International Conference on Mathematics; Pure, Applied and Computation, ICoMPAC 2018
Y2 - 20 October 2018
ER -