An optimization problem involving proximal quasi-contraction mappings

Mohamed Jleli, Bessem Samet
2014 Fixed Point Theory and Applications  
Consider a non-self-mapping T : A → B, where (A, B) is a pair of nonempty subsets of a metric space (X, d). In this paper, we study the existence and uniqueness of solutions to the global optimization problem min x∈A d(x, Tx), where T belongs to the class of proximal quasi-contraction mappings. MSC: 41A65; 90C30; 47H10
doi:10.1186/1687-1812-2014-141 fatcat:zxod6fwvpndhnjddvb75mevtq4