Some fixed and common fixed point results in G-metric spaces which can't be obtained from metric spaces

Wasfi Shatanawi; Kamaleldin Abodayeh

doi:10.5269/bspm.v38i6.40129

Wasfi Shatanawi Hashemite University Faculty of Science Department of Mathematics http://orcid.org/0000-0001-7492-4933
Kamaleldin Abodayeh Prince Sultan University Department of Mathematics and general courses http://orcid.org/0000-0003-0735-6520

DOI: https://doi.org/10.5269/bspm.v38i6.40129

Keywords: nonlinear contractions, common Fixed point, G-metric spaces, cyclic maps

Abstract

In this paper, we use the concepts of (A;B)-weakly increasing mappings and altering distance functions to establish new contractive conditions for the pair of mappings in the setting of G-metric spaces. Many Fixed and common Fixed point results in the setting of G{metric spaces are formulated. Note that our new contractive conditions can't be reduces to contractive conditions in standard metric spaces.

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