Abstract
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.
Citation
Irene Benedetti. Anna Martellotti. "A further generalization of midpoint convexity of multimaps towards common fixed point Theorems and applications." Topol. Methods Nonlinear Anal. 46 (1) 93 - 111, 2015. https://doi.org/10.12775/TMNA.2015.039