TY - JOUR
AU - Aydi, H.
AU - Berzig, M.
PY - 2012/10/01
Y2 - 2021/11/28
TI - COINCIDENCE POINT THEOREMS IN HIGHER DIMENSION FOR NONLINEAR CONTRACTIONS
JF - Journal of Nonlinear Analysis and Optimization: Theory & Applications
JA - J. Nonlinear Anal. Optim.
VL - 4
IS - 1
SE -
DO -
UR - http://www.math.sci.nu.ac.th/ojs302/index.php/jnao/article/view/178
SP - 53-64
AB - <p>In this manuscript, we introduce the concept of a coincidence point of $N$-order of $F : X^N \rightarrow X$ and $g : X \rightarrow X$ where $N\geq 2$ and $X$ is an ordered set endowed with a metric $d$. We prove some coincidence point theorems of such mappings involving nonlinear contractions. The presented results are generalizations of the recent fixed point theorems due to Berzig and Samet [M. Berzig and B. Samet, An extension of coupled fixed point's concept in higher dimension and applications, Comput. Math. Appl. 63 (2012) 1319--1334]. Also, this work is an extension of M. Borcut [M. Borcut, Tripled coincidence theorems for contractive type mappings in partially ordered metric spaces, Appl. Math. Comput.???? 218 (2012) 7339--7346].</p>
ER -