Well-posedness of generalized vector variational inequality problem via topological approach

S Kumar, A Gupta - Rendiconti del Circolo Matematico di Palermo Series …, 2024 - Springer
In this paper, we discuss well-posedness for a generalized vector variational inequality
problem (GVVIP, in short) in the framework of topological vector spaces. Unlike in the …

On vector variational E-inequalities and differentiable vector optimization problem

T Antczak, N Abdulaleem - OPSEARCH, 2024 - Springer
In this paper, in order to characterize optimality of a class of nonconvex differentiable
multiobjective programming problems, we introduce two new types of vector variational-like …

Topological variants of vector variational inequality problem

S Kumar, A Gupta, PK Garg - La Matematica, 2022 - Springer
In this paper, we provide a couple of solutions for the vector variational inequality problem,
adopting a topological approach. We consider here a more general framework, where X and …

[PDF][PDF] Topological solutions of η-generalized vector variational-like inequality problems

S Kumar, A Gupta, PK Garg, RD Sarma - Math. Appl, 2021 - researchgate.net
In this paper, we discuss several variants of the η-generalized vector variational-like
inequality problem and provide existence theorems for their solutions via a topological …

A topological approach for vector quasi-variational inequalities with set-valued functions

Sonia, RD Sarma - Computational Management Science, 2023 - Springer
The focus of this paper is to employ a new topological condition, based on admissibility of
the function space topology, to provide existence results for a generalized vector quasi …

Generalized vector quasi-variational-like inequality problem: a new approach

Sonia, R Dev Sarma - Rendiconti del Circolo Matematico di Palermo …, 2023 - Springer
In this paper, we are devoted to investigating the existence of the Generalized Vector Quasi-
Variational-Like Inequality Problem by using a new approach. Here we use admissibility of …

Dual uniformities in function spaces over uniform continuity

A Gupta, RD Sarma, FS Alshammari, R George - Open Mathematics, 2022 - degruyter.com
The notion of dual uniformity is introduced on UC (Y, Z), the uniform space of uniformly
continuous mappings between Y and Z, where (Y, V) and (Z, U) are two uniform spaces. It is …

[PDF][PDF] Dual topologies for the space of multi-functions

A Gupta, RD Sarma - Filomat, 2022 - doiserbia.nb.rs
Dual topology for the function space topologies for multifunctions are introduced and
investigated. It is found that a topology T on CM (Y, Z) is splitting (resp. admissible) if and …