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Published in 2017 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-017-0442-0
Abstract: In this paper, we introduce implicit and explicit iterative methods for solving a variational inequality problem over the set of zeros for a maximal monotone mapping in Hilbert spaces. As consequence, new modifications of the…
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Keywords:
iterative methods;
methods class;
hilbert spaces;
variational inequalities ... See more keywords
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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…
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Keywords:
monotonicity arguments;
arguments variational;
inequalities hilbert;
variational hemivariational ... See more keywords
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Published in 2022 at "Symmetry"
DOI: 10.3390/sym14081512
Abstract: In this paper, we prove some new generalized inequalities of Hilbert-type on time scales nabla calculus by applying Hölder’s inequality, Young’s inequality, and Jensen’s inequality. Symmetrical properties play an essential role in determining the correct…
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Keywords:
generalized inequalities;
inequalities hilbert;
hilbert type;
time scales ... See more keywords
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Published in 2023 at "Symmetry"
DOI: 10.3390/sym15040925
Abstract: Hermite–Hadamard inequalities and their refinements have been investigated for a long period of time. In this paper, we obtained refinements of the Hermite–Hadamard inequality of tensorial type for the convex functions of self-adjoint operators in…
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Keywords:
inequalities hilbert;
refinements tensorial;
tensorial inequalities;
obtained inequalities ... See more keywords