TY - JOUR
ID - 37412
TI - Common Fixed Point Results on Complex-Valued $S$-Metric Spaces
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Taş, Nihal
AU - Yilmaz Ozgur, Nihal
AD - Department of Mathematics, Bali kesir University, 10145, Bali kesir, Turkey.
AD - Department of Mathematics, Bali kesir University, 10145 Bali kesir, Turkey.
Y1 - 2020
PY - 2020
VL - 17
IS - 2
SP - 83
EP - 105
KW - $S$-metric space
KW - Fixed point theorem
KW - Common fixed point theorem
KW - Complex valued $S$-metric space
DO - 10.22130/scma.2018.92986.488
N2 - Banach's contraction principle has been improved and extensively studied on several generalized metric spaces. Recently, complex-valued $S$-metric spaces have been introduced and studied for this purpose. In this paper, we investigate some generalized fixed point results on a complete complex valued $S$-metric space. To do this, we prove some common fixed point (resp. fixed point) theorems using different techniques by means of new generalized contractive conditions and the notion of the closed ball. Our results generalize and improve some known fixed point results. We provide some illustrative examples to show the validity of our definitions and fixedpoint theorems.
UR - http://scma.maragheh.ac.ir/article_37412.html
L1 - http://scma.maragheh.ac.ir/article_37412_b6d9f7287f605b0fe1bd1bc28da3845b.pdf
ER -