A generalized mixed vector variational-like inequality problem

DOI10.1016/j.na.2009.04.023zbMath1172.49011OpenAlexW2079783348MaRDI QIDQ732569

Farhat Usman, Suhel Ahmad Khan

Publication date: 9 October 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.04.023

zbMATH Keywords

Hausdorff metric\(\eta \)-complete semicontinuity\(\eta \)-strong semicontinuity\(H\)-hemicontinuousrelaxed \(\eta\)-\(\alpha\)-\(P\)-monotone

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Fixed-point theorems (47H10) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (16)

Generalized vector mixed general quasi-variational-like inequalities in Hausdorff topological vector spaces ⋮ Gap function and global error bounds for generalized mixed quasi variational inequalities ⋮ Vector variational-like inequalities with generalized semimonotone mappings ⋮ Existence results for vector mixed quasi-complementarity problems ⋮ On some variational inequality-constrained control problems ⋮ Well-posedness of generalized vector variational inequality problem via topological approach ⋮ Existence Results of a Generalized Mixed Exponential Type Vector Variational-Like Inequalities ⋮ Existence of solutions of new generalized mixed vector variational-like inequalities in reflexive Banach spaces ⋮ Convergence analysis for combination of equilibrium problems and k-nonspreading set-valued mappings ⋮ Extended new generalized mixed vector variational-like inequalities in reflexive Banach spaces ⋮ Generalized vector implicit quasi complementarity problems ⋮ Unnamed Item ⋮ Generalized vector equilibrium problem with pseudomonotone mappings ⋮ On well-posed isoperimetric-type constrained variational control problems ⋮ Unnamed Item ⋮ Well-posedness for multi-time variational inequality problems via generalized monotonicity and for variational problems with multi-time variational inequality constraints

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The vector complementary problem and its equivalences with the weak minimal element in ordered spaces
• A generalization of Tychonoff's fixed point theorem
• Existence of solutions of generalized vector variational inequalities in reflexive Banach spaces
• Generalized vector variational-type inequalities
• Some properties of convex sets related to fixed point theorems
• A class of nonconvex functions and pre-variational inequalities
• On the semi-monotone operator theory and applications
• Pseudo-monotone complementarity problems in Hilbert space
• Nonlinear variational inequalities on convex subsets of Banach spaces
• Variational-like inequalities with generalized monotone mappings in Banach spaces
• Variational inequalities for monotone operators in nonreflexive Banach spaces
• On vector variational inequalities in reflexive Banach spaces
• Multi-valued contraction mappings
• Generalized nonlinear quasi-variational-like inequalities for set-valued mappings in Banach spaces
• Existence and algorithm of solutions for generalized mixed implicit quasi-variational inequalities

This page was built for publication: A generalized mixed vector variational-like inequality problem