Error Bounds for Approximate Solutions of Abstract Inequality Systems and Infinite Systems of Inequalities on Banach Spaces
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DOI: 10.1007/s11228-020-00551-3
Abstract: Using the result of the error estimate of the simple extended Newton method established in the present paper for solving abstract inequality systems, we study the error bound property of approximate solutions of abstract inequality… read more here.
Keywords: abstract inequality; banach spaces; approximate solutions; solutions abstract ... See more keywords
Existence Theorems for Inequality Systems
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DOI: 10.1007/s41980-018-0094-x
Abstract: Necessary and sufficient conditions for the existence of a solution to an equilibrium problem are given, in the general case when the function generating the problem is defined on a product between a subset X… read more here.
Keywords: inequality systems; existence theorems; theorems inequality;
Lipschitz lower semicontinuity moduli for linear inequality systems
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124313
Abstract: Abstract The paper is focussed on the Lipschitz lower semicontinuity of the feasible set mapping for linear (finite and infinite) inequality systems in three different perturbation frameworks: full, right-hand side and left-hand side perturbations. Inspired… read more here.
Keywords: inequality systems; lipschitz lower; lower semicontinuity; semicontinuity moduli ... See more keywords