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http://dx.doi.org/10.22771/nfaa.2022.27.01.05

SETVALUED MIXED QUASI-EQUILIBRIUM PROBLEMS WITH OPERATOR SOLUTIONS  

Ram, Tirth (Department of Mathematics, University of Jammu)
Khanna, Anu Kumari (Department of Mathematics, University of Jammu)
Kour, Ravdeep (Department of Mathematics, University of Jammu)
Publication Information
Nonlinear Functional Analysis and Applications / v.27, no.1, 2022 , pp. 83-97 More about this Journal
Abstract
In this paper, we introduce and study generalized mixed operator quasi-equilibrium problems(GMQOEP) in Hausdorff topological vector spaces and prove the existence results for the solution of (GMQOEP) in compact and noncompact settings by employing 1-person game theorems. Moreover, using coercive condition, hemicontinuity of the functions and KKM theorem, we prove new results on the existence of solution for the particular case of (GMQOEP), that is, generalized mixed operator equilibrium problem (GMOEP).
Keywords
Operator variational inequality; operator quasi-equilibrium problems; upper semicontinuity; coercivity; hemicontinuity;
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Times Cited By KSCI : 1  (Citation Analysis)
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