Existence Theorems for Generalized Hammerstein Equations

Abstract:

      In this paper, we establish existence theorems for generalized Hammerstein equation u+K(u)Fu=0 using the surjectivity of mapping of monotone type and the approximation method, where for each u in the dual X^* of a real reflexlve Banach space X, K(u):X→X^* is a bounded linear map and F:X^*→X is any map. Our results generalize corresponding results of schillings. Srikanth and Joshi.