{ "id": "1606.05478", "version": "v1", "published": "2016-06-17T11:08:45.000Z", "updated": "2016-06-17T11:08:45.000Z", "title": "Fixed point results on θ-metric spaces via simulation functions", "authors": [ "Ankush Chanda", "Lakshmi Kanta Dey" ], "comment": "14", "categories": [ "math.FA" ], "abstract": "In a recent article, Khojasteh et al. introduced a new class of simulation functions, Z-contractions, with blending over known contractive conditions in the literature. Subsequently, in this paper, we extend and generalize the results on \\theta-metric context and we discuss some fixed point results in connection with existing ones. Also, we originate the notion of modified Z-contractions and explore the existence and uniqueness of ?fixed points of such functions on the said spaces. Finally we include examples to instantiate our main results.", "revisions": [ { "version": "v1", "updated": "2016-06-17T11:08:45.000Z" } ], "analyses": { "subjects": [ "47H10", "54H25" ], "keywords": [ "fixed point results", "simulation functions", "main results", "contractive conditions", "literature" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }