{
  "id": "2208.06589",
  "version": "v1",
  "published": "2022-08-13T07:57:13.000Z",
  "updated": "2022-08-13T07:57:13.000Z",
  "title": "$X$-convexity and Applications of Quasi-$X$-Convex Functions",
  "authors": [
    "Musavvir Ali",
    "Ehtesham Akhter"
  ],
  "categories": [
    "math.OC",
    "math.DG"
  ],
  "abstract": "A class of real functions, which is the generalization of a family of convex functions, is introduced; in this connection, we have defined $X$-convex, strictly $X$-convex, quasi-$X$-convex, strictly quasi-$X$-convex, and semi-strictly quasi-$X$-convex functions. Moreover, in this paper, we give a detailed study of the fundamental properties of these functions with various examples, supporting the concepts. Finally, the study of optimization problems employs quasi-$X$-convex, semistrictly quasi-$X$-convex, and strictly quasi-$X$-convex functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-08-13T07:57:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "convex functions",
      "applications",
      "optimization problems employs",
      "real functions",
      "fundamental properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}