A FURTHER GENERALIZATION OF MIDPOINT CONVEXITY OF MULTIMAPS TOWARDS COMMON FIXED POINT THEOREMS AND APPLICATIONS

作者：Benedetti Irene^*; Martellotti Anna

来源：Topological Methods in Nonlinear Analysis, 2015, 46(1): 93-111.

DOI：10.12775/tmna.2015.039

• Common fixed points
• midpoint convexity
• commuting families of multimaps
• best approximations
• variational inequalities

We furtherly generalize midpoint convexity for multivalued maps and derive Fixed Point Theorems and Common Fixed Point Theorems without requiring strong compactness. As an application we obtain some Best Approximation results, and minimax and variational inequalities.

• 出版日期2015-9
• 单位Perugia