Some new results for single-valued and multi-valued mixed monotone operators of Rhoades type

Abstract

In (2008), Zhang proved the existence of fixed points of mixed monotone operators along with certain convexity and concavity conditions. In this paper, mixed monotone single-valued and multi-valued operators of Rhoades type are defined and two fixed point theorems are proved. MSC: 47H10, 47H07. © 2013 Khojasteh; licensee Springer.