Defines new types of preinvex functions for optimization.
problem Optimization problems with new types of preinvex functions.
method Definition and analysis of w-invex functions.
result New types of preinvex functions solve optimization problems.
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4 results for “preinvexity”
The authors define a class of functions on Riemannian manifolds, which is 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 i…
The paper defines new types of geodesic functions on Riemannian manifolds and explores their properties.
problem Exploring new types of functions on Riemannian manifolds.
method Introducing geodesic -invex set and developing geodesic -preinvex and invex functions.
result Established a relation between geodesic -preinvex and geodesic -invex functions.
The paper defines new geometric concepts on Riemannian manifolds and applies them to optimization problems.
problem Optimization problems on Riemannian manifolds.
method Strongly geodesic preinvexity, strongly η-invexity, and strongly invariant η-monotonicity definitions.
result Characterization of strict η-minimizers and solutions to variational like-inequality problems.