TY - JOUR
ID - 251665
TI - Fixed Point Results for $F$-Hardy-Rogers Contractions via Mann's Iteration Process in Complete Convex $b$-Metric Spaces
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Yildirim, Isa
AD - Department of Mathematics, Faculty of Science, Ataturk University, Erzurum, 25240, Turkey.
Y1 - 2022
PY - 2022
VL - 19
IS - 2
SP - 15
EP - 32
KW - $F$-Hardy-Rogers contraction
KW - Mann's iteration process
KW - Fixed point
KW - Convex $b$-metric space
DO - 10.22130/scma.2022.528127.929
N2 - In this paper, we give a definition of the $F$-Hardy-Rogers contraction of Nadler type by eliminating the conditions $(F3)$ and $(F4)$. And, we obtain some fixed point theorems for such mappings using Mann's iteration process in complete convex $b$-metric spaces. We also give an example in order to support the main results, which generalize some results in [5,6].
UR - https://scma.maragheh.ac.ir/article_251665.html
L1 - https://scma.maragheh.ac.ir/article_251665_598b30839852e9f5f5ebf0024378a1e3.pdf
ER -