CONTINUOUS SELECTION THEOREM FOR phi_FC-MAPPINGS IN FC-SPACES AND ITS APPLICATIONS

Ming-Ge Yang, Lei Deng

Abstract


Three new concepts of better admissible class B_FC (Y,X), phi_FC-mappings and phi_FC -spaces are introduced. A continuous selection theorem for phi_FC-mappings in FC-spaces is obtained. By using the continuous selection theorem, a fixed point theorem involving B_FC (Y,Y) in phi_FC-spaces is proved. As applications, a quasi-equilibrium theorem and a generalized quasi-equilibrium theorem are proved.

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ISSN: 1229-1595 (Print), 2466-0973 (Online)