Some properties of semi-\(E\)-preinvex maps in Banach spaces
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Publication:619751
DOI10.1016/j.nonrwa.2010.09.019zbMath1219.47096OpenAlexW2065524606MaRDI QIDQ619751
Publication date: 18 January 2011
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2010.09.019
Convex programming (90C25) Convex functions and convex programs in convex geometry (52A41) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10) Convexity of real functions of several variables, generalizations (26B25) Nonlinear operators and their properties (47H99)
Related Items (5)
E-convexity and its generalizations ⋮ Unnamed Item ⋮ Semilocal \(E\)-preinvexity and its applications in nonlinear multiple objective fractional programming ⋮ A class of semilocal \(E\)-preinvex functions and its applications in nonlinear programming ⋮ (F, K, b)-vex sets and some related properties
Cites Work
- Optimality criteria in nonlinear programming involving nonconvex functions
- Some properties of \(E\)-convex functions
- Nonlinear programming with \(E\)-preinvex and local \(E\)-preinvex functions
- Generalized arcwise-connected functions and characterizations of local- global minimum properties
- On sufficiency of the Kuhn-Tucker conditions
- Generalizations of convex and related functions
- B-vex functions
- \((p,r)\)-invexity in multiobjective programming.
- \(E\)-convex sets, \(E\)-convex functions, and \(E\)-convex programming
- Some properties of semi-\(E\)-convex functions.
- Optimality and duality in nonlinear programming involving semilocally B-preinvex and related functions
- On \(E\)-convex sets, \(E\)-convex functions, and \(E\)-convex programming
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