Open AccessGeodesic locally starshaped G-invex sets and geodesic semilocal preinvex functions
Author(s) -
Sandeep Kumar Porwal
Publication year - 2022
Publication title -
ymer
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.103
H-Index - 5
ISSN - 0044-0477
DOI - 10.37896/ymer21.02/66
Subject(s) - geodesic , class (philosophy) , mathematics , pure mathematics , space (punctuation) , topology (electrical circuits) , mathematical analysis , combinatorics , computer science , artificial intelligence , operating system
In this paper, we introduce a new class of sets and functions, namely geodesic locally starshaped G-invex sets and geodesic semilocal preinvex functions on Riemannian manifolds. We study the properties of these classes of sets and functions and derive certain characterizations. The results of the paper extend and unify several known results from literature to a more general class of functions as well as in more general space setting