TY  - JOUR
TT  - SOME FIXED POINT AND COMMON FIXED POINT RESULTS THROUGH Ω-DISTANCE UNDER NONLINEAR CONTRACTIONS
AU  - Abodayeh, Kamaleldin
AU  - Shatanawi, W.
AU  - Bataihah, A.
AU  - Ansari, A.H.
PY  - 2017
DA  - March
JF  - Gazi University Journal of Science
PB  - Gazi University
WT  - DergiPark
SN  - 2147-1762
SP  - 293
EP  - 302
VL  - 30
IS  - 1
KW  - Omega-Distance
KW  - Fixed Point Theory
KW  - G-Metric Space
N2  - Saadati et al [R. Saadati, S.M. Vaezpour, P. Vetro and B.E. Rhoades,Fixed point theorems in generalized partially ordered G-metricspaces, {\it Mathematical and Computer Modeling,} \textbf{52},797-801, 2010] introduced the notion of $\Omega$-distance mappingsand studied some existing fixed point results. In this paper, weemploy the notion of $\Omega$-distance and some functions defined on$[0,+\infty)$ to introduce some new nonlinear contractions of Suzukitypes. We utilize our new notions to formulate and proved many fixedand common fixed point results. Our results improve and extend manyresults in literature.
CR  - Prof. Thabet Abdeljawad
CR  - Prince Sultan University Riyadh, Saudi Arabia
CR  - Email: tabdeljawad@psu.edu.sa
CR  - Professor Mihai Postolache
CR  - Department of Mathematics and Informatics, University Politehnica of Bucharest, Bucharest, Romania
CR  - email: mihai@mathem.pub.ro
CR  - Prof. Nedal Tahat
CR  - Department of Mathematics, Hashemite University
CR  - email: nedal@hu.edu.jo
UR  - https://dergipark.org.tr/en/pub/gujs/issue//303392
L1  - https://dergipark.org.tr/en/download/article-file/290236
ER  -