On properties of geodesic semilocal E-preinvex functions View Full Text


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Article Info

DATE

2018-12-20

AUTHORS

Adem Kılıçman, Wedad Saleh

ABSTRACT

The authors define a class of functions on Riemannian manifolds, which are called geodesic semilocal E-preinvex functions, as a generalization of geodesic semilocal E-convex and geodesic semi E-preinvex functions, and some of its properties are established. Furthermore, a nonlinear fractional multiobjective programming is considered, where the functions involved are geodesic E-η-semidifferentiability, sufficient optimality conditions are obtained. A dual is formulated and duality results are proved by using concepts of geodesic semilocal E-preinvex functions, geodesic pseudo-semilocal E-preinvex functions, and geodesic quasi-semilocal E-preinvex functions. More... »

PAGES

353

References to SciGraph publications

  • 2015-09-25. On geodesic strongly E-convex sets and geodesic strongly E-convex functions in JOURNAL OF INEQUALITIES AND APPLICATIONS
  • 1997. Smooth Nonlinear Optimization in Rn in NONE
  • 2002-03. Convexity of Domains of Riemannian Manifolds in ANNALS OF GLOBAL ANALYSIS AND GEOMETRY
  • 2011-11-22. Semilocal E-preinvexity and its applications in nonlinear multiple objective fractional programming in JOURNAL OF INEQUALITIES AND APPLICATIONS
  • 1994. Convex Functions and Optimization Methods on Riemannian Manifolds in NONE
  • 2012-04-05. On Geodesic E-Convex Sets, Geodesic E-Convex Functions and E-Epigraphs in JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1186/s13660-018-1944-z

    DOI

    http://dx.doi.org/10.1186/s13660-018-1944-z

    DIMENSIONS

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    PUBMED

    https://www.ncbi.nlm.nih.gov/pubmed/30839923


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