A class of B-(p,r)-invex functions and mathematical programming. Antczak, T. *Journal of Mathematical Analysis and Applications*, 286(1):187–206, October, 2003. 48 citations (Semantic Scholar/DOI) [2023-02-27]Paper doi abstract bibtex Invexity of a function is generalized. The new class of nonconvex functions, called B-(p, r)-invex functions with respect to η and b, being introduced, includes many well-known classes of generalized invex functions as its subclasses. Some properties of the introduced class of B-(p, r)-invex functions with respect to η and b are studied. Further, mathematical programming problems involving B-(p, r)invex functions with respect to η and b are considered. The equivalence between saddle points and optima, and different type duality theorems are established for this type of optimization problems.

@article{antczak_class_2003,
title = {A class of {B}-(p,r)-invex functions and mathematical programming},
volume = {286},
issn = {0022247X},
url = {https://linkinghub.elsevier.com/retrieve/pii/S0022247X03004694},
doi = {10.1016/s0022-247x(03)00469-4},
abstract = {Invexity of a function is generalized. The new class of nonconvex functions, called B-(p, r)-invex functions with respect to η and b, being introduced, includes many well-known classes of generalized invex functions as its subclasses. Some properties of the introduced class of B-(p, r)-invex functions with respect to η and b are studied. Further, mathematical programming problems involving B-(p, r)invex functions with respect to η and b are considered. The equivalence between saddle points and optima, and different type duality theorems are established for this type of optimization problems.},
language = {en},
number = {1},
urldate = {2022-01-19},
journal = {Journal of Mathematical Analysis and Applications},
author = {Antczak, Tadeusz},
month = oct,
year = {2003},
note = {48 citations (Semantic Scholar/DOI) [2023-02-27]},
keywords = {/unread},
pages = {187--206},
}

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