SOME FIXED POINT AND COMMON FIXED POINT RESULTS THROUGH Ω-DISTANCE UNDER NONLINEAR CONTRACTIONS

Year 2017, Volume: 30 Issue: 1, 293 - 302, 14.03.2017

Kamaleldin Abodayeh W. Shatanawi A. Bataihah A.H. Ansari

Abstract

Saadati et al [R. Saadati, S.M. Vaezpour, P. Vetro and B.E. Rhoades,
Fixed point theorems in generalized partially ordered G-metric
spaces, {\it Mathematical and Computer Modeling,} \textbf{52},
797-801, 2010] introduced the notion of $\Omega$-distance mappings
and studied some existing fixed point results. In this paper, we
employ the notion of $\Omega$-distance and some functions defined on
$[0,+\infty)$ to introduce some new nonlinear contractions of Suzuki
types. We utilize our new notions to formulate and proved many fixed
and common fixed point results. Our results improve and extend many
results in literature.

Keywords

Omega-Distance, Fixed Point Theory, G-Metric Space

References

• Prof. Thabet Abdeljawad
• Prince Sultan University Riyadh, Saudi Arabia
• Email: [e-mail]
• Professor Mihai Postolache
• Department of Mathematics and Informatics, University Politehnica of Bucharest, Bucharest, Romania
• email: [e-mail]
• Prof. Nedal Tahat
• Department of Mathematics, Hashemite University
• email: [e-mail]