scholarly journals (p,r)-Invex Sets and Functions

2001 ◽  
Vol 263 (2) ◽  
pp. 355-379 ◽  
Author(s):  
Tadeusz Antczak
Keyword(s):  
Invex Sets

scholarly journals On Invex Sets and Preinvex Functions

1995 ◽  
Vol 189 (3) ◽  
pp. 901-908 ◽  
Author(s):  
S.R. Mohan ◽  
S.K. Neogy
Keyword(s):  
Invex Sets ◽  
Preinvex Functions

scholarly journals GENERALIZED INVEX SETS AND PREINVEX FUNCTIONS ON RIEMANNIAN MANIFOLDS

2012 ◽  
Vol 16 (5) ◽  
pp. 1719-1732 ◽  
Author(s):  
R. P. Agarwal ◽  
I. Ahmad ◽  
Akhlad Iqbal ◽  
Shahid Ali
Keyword(s):  
Riemannian Manifolds ◽  
Invex Sets ◽  
Preinvex Functions

GeodesicG-invex sets and semistrictly geodesic η-preinvex functions

Optimization ◽  
2012 ◽  
Vol 61 (9) ◽  
pp. 1169-1174 ◽  
Author(s):  
R.P. Agarwal ◽  
I. Ahmad ◽  
Akhlad Iqbal ◽  
Shahid Ali
Keyword(s):  
Invex Sets ◽  
Preinvex Functions

scholarly journals Generalized Higher Order Preinvex Functions and Equilibrium-like Problems

Symmetry ◽  
2021 ◽  
Vol 13 (10) ◽  
pp. 1875
Author(s):  
Jiangming Ma ◽  
Muhammad Aslam Noor ◽  
Khalida Inayat Noor
Keyword(s):  
Variational Inequalities ◽  
Arbitrary Function ◽  
Equilibrium Problems ◽  
Higher Order ◽  
Convergence Criteria ◽  
Normed Spaces ◽  
Invex Sets ◽  
Preinvex Functions

Equilibrium problems and variational inequalities are connected to the symmetry concepts, which play important roles in many fields of sciences. Some new preinvex functions, which are called generalized preinvex functions, with the bifunction ζ(.,.) and an arbitrary function k, are introduced and studied. Under the normed spaces, new parallelograms laws are taken as an application of the generalized preinvex functions. The equilibrium-like problems are represented as the minimum values of generalized preinvex functions under the kζ-invex sets. Some new inertial methods are proposed and researched to solve the higher order directional equilibrium-like problem, Convergence criteria of the our methods is discussed, along with some unresolved issues.

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