Densely relaxed pseudomonotone and quasimonotone generalized variational-like inequalities
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DOI: 10.1080/02331934.2020.1719101
Abstract: In this paper, we define the generalized densely relaxed pseudomonotonicity and relaxed quasimonotonicity, and establish the existence of solutions for generalized variational-like inequalities with the above monotonicity notions. The results obtained in this paper improve… read more here.
Keywords: like inequalities; generalized variational; variational like; pseudomonotone quasimonotone ... See more keywords
A Note on the Generalized Nonlinear Vector Variational-Like Inequality Problem
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DOI: 10.1155/2021/4488217
Abstract: In this paper, we discuss two variants of the generalized nonlinear vector variational-like inequality problem. We provide their solutions by adopting topological approach. Topological properties such as compactness, closedness, and net theory are used in… read more here.
Keywords: like inequality; inequality problem; nonlinear vector; variational like ... See more keywords
Hybrid projection method for a system of unrelated generalized mixed variational-like inequality problems
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DOI: 10.1515/gmj-2017-0027
Abstract: Abstract The aim of this paper is to consider a generalized mixed variational-like inequality problem and prove a Minty-type lemma for its related auxiliary problems in a real Banach space. We prove the existence of… read more here.
Keywords: like inequality; variational like; inequality problems; mixed variational ... See more keywords
Iterative Algorithms for a Generalized System of Mixed Variational-Like Inclusion Problems and Altering Points Problem
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DOI: 10.19139/soic-2310-5070-884
Abstract: In this article, we introduce and study a generalized system of mixed variational-like inclusion problems involving αβ-symmetric η-monotone mappings. We use the resolvent operator technique to calculate the approximate common solution of the generalized system… read more here.
Keywords: system; variational like; generalized system; like inclusion ... See more keywords
Scalarized solutions of set-valued optimization problems and generalized variational-like inequalities
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DOI: 10.2298/fil1712953o
Abstract: In this paper by using the scalariation method we introduced the concept of relaxed K-preinvex set-valued maps and obtain some equivalence results of them in terms of normal subdifferential. Also, we consider generalized Minty variational-like… read more here.
Keywords: like inequalities; valued optimization; variational like; set valued ... See more keywords
Variational-Like Inequality Problem Involving Generalized Cayley Operator
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DOI: 10.3390/axioms10030133
Abstract: This article deals with the study of a variational-like inequality problem which involves the generalized Cayley operator. We compare our problem with a fixed point equation, and based on it we construct an iterative algorithm… read more here.
Keywords: like inequality; inequality problem; cayley operator; variational like ... See more keywords