Existence Results for Mixed Equilibrium Problems Involving Set-Valued Operators with Applications to Quasi-Hemivariational Inequalities
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Optimization Theory and Applications"
DOI: 10.1007/s10957-019-01629-1
Abstract: In this paper, we study the existence of solutions for mixed equilibrium problems associated with a set-valued operator in the general setting of vector spaces in duality, and in particular in Banach spaces. We use… read more here.
Keywords: quasi hemivariational; existence; mixed equilibrium; set valued ... See more keywords
Metric characterizations for well-posedness of split hemivariational inequalities
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-018-1761-4
Abstract: In this paper, we generalize the concept of well-posedness to a class of split hemivariational inequalities. By imposing very mild assumptions on involved operators, we establish some metric characterizations of the well-posedness for the split… read more here.
Keywords: well posedness; split hemivariational; hemivariational inequalities; posedness split ... See more keywords
Monotonicity Arguments for Variational-Hemivariational Inequalities in Hilbert Spaces
Sign Up to like & getrecommendations! Published in 2022 at "Axioms"
DOI: 10.3390/axioms11030136
Abstract: We consider a variational–hemivariational inequality in a real Hilbert space, which depends on two parameters. We prove that the inequality is governed by a maximal monotone operator, then we deduce various existence, uniqueness and equivalence… read more here.
Keywords: monotonicity arguments; arguments variational; inequalities hilbert; variational hemivariational ... See more keywords
Characterizations of Well-Posedness for Generalized Hemivariational Inequalities Systems with Derived Inclusion Problems Systems in Banach Spaces
Sign Up to like & getrecommendations! Published in 2022 at "Symmetry"
DOI: 10.3390/sym14071341
Abstract: In real Banach spaces, the concept of α-well-posedness is extended to the class of generalized hemivariational inequalities systems consisting of two parts which are of symmetric structure mutually. First, certain concepts of α-well-posedness for generalized… read more here.
Keywords: banach spaces; inequalities systems; posedness generalized; generalized hemivariational ... See more keywords