TY - JOUR
ID - 679847
TI - Partially ordered cone metric spaces and coupled fixed point theorems via $alpha$-series
JO - Mathematical Analysis and its Contemporary Applications
JA - MACA
LA - en
SN - 2716-9890
AU - Hadi Bonab, Samira
AU - Abazari, Rasoul
AU - Bagheri Vakilabad, Ali
AD - Department of Mathematics, Ardabil Branch, indent Islamic Azad University, Ardabil, Iran
AD - Department of Mathematics, Ardabil Branch, indent Islamic Azad University, Ardabil, Iran
Y1 - 2019
PY - 2019
VL - 1
IS - 1
SP - 50
EP - 61
KW - Cone metric space
KW - $alpha$-series
KW - coupled fixed point
KW - Coupled coincidence point
KW - compatible
KW - reciprocally continuous
DO - 10.30495/maca.2019.679847
N2 - This research tends to focus on proving the results of coupled fixed point in partially ordered cone metric spaces by imposing some condition on a self-mapping and a sequence of mappings via $alpha$-series. The $alpha$-series are wider than the convergent series. Furthermore, an example is provided to illustrate the results.
UR - http://www.macajournal.com/article_679847.html
L1 - http://www.macajournal.com/article_679847_2fe087d8285680d650e287402f4674f2.pdf
ER -