ON THE GENERALIZED VARIATIONAL-LIKE INEQUALITY PROBLEMS FOR MULTIVALUED MAPPINGS

Authors

  • A. FARAJZADEH Department of Mathematics, Kermanshah Branch, Islamic Azad University, Kermanshah, Iran
  • - SALAHUDDIN Aligarh Muslim University, Aligarh-202002, India

Keywords:

Generalized multivalued variational like inequalities, KKM-mappings, η-hemicontinuity, η-Coercivity, relaxed η-α-monotone, Relaxed η-α-semimonotone mappings

Abstract

In this paper, two classes of generalized variational-like inequalities problems for multivalued mappings are introduced and then by using KKM technique and Kakutani-Fan-Glicksberg fixed point theorem the solvability of them are investigated when the mappings are relaxed $\eta-\alpha-$ -monotone. One can consider this paper the topological vector space version of reference [15].

Additional Files

Published

09/26/2012

Issue

Vol. 4 No. 1 (2013): JNAO

Section

Research Articles

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This work is licensed under aย Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.