TY - JOUR
ID - 36659
TI - Diameter Approximate Best Proximity Pair in Fuzzy Normed Spaces
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Mohsenialhosseini, Seyed Ali Mohammad
AU - Saheli, Morteza
AD - Faculty of Mathematics, Yazd University, Yazd, Iran and Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.
AD - Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.
Y1 - 2019
PY - 2019
VL - 16
IS - 1
SP - 17
EP - 34
KW - Cyclic maps
KW - $alpha$-asymptotically regular
KW - $F$-Kannan operator
KW - Fuzzy diameter
DO - 10.22130/scma.2018.83850.420
N2 - The main purpose of this paper is to study the approximate best proximity pair of cyclic maps and their diameter in fuzzy normed spaces defined by Bag and Samanta. First, approximate best point proximity points on fuzzy normed linear spaces are defined and four general lemmas are given regarding approximate fixed point and approximate best proximity pair of cyclic maps on fuzzy normed spaces. Using these results, we prove theorems for various types of well-known generalized contractions inĀ fuzzy normed spaces. Also, we apply our results to get an application of approximate fixed point and approximate best proximity pair theorem of their diameter.
UR - http://scma.maragheh.ac.ir/article_36659.html
L1 - http://scma.maragheh.ac.ir/article_36659_89544cc8cecc2b2c61d92c42dffa6116.pdf
ER -