Geometric Properties and Coincidence Theorems with Applications to Generalized Vector Equilibrium Problems |
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| Authors: | Lin LJ Ansari QH Wu JY |
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| Institution: | (1) Department of Mathematics, National Changhua University of Education, Changhua, Taiwan, ROC;(2) Department of Mathematics, Aligarh Muslim University, Aligarh, India |
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| Abstract: | The present paper is divided into two parts. In the first part, we derive a Fan-KKM type theorem and establish some Fan type geometric properties of convex spaces. By applying our results, we also obtain some coincidence theorems and fixed-point theorems in the setting of convex spaces. The second part deals with the applications of our coincidence theorem to establish some existence results for a solution to the generalized vector equilibrium problems. |
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| Keywords: | Fan-KKM type theorem coincidence theorems fixed-point theorems generalized vector equilibrium problems maximal pseudomonotone maps |
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