This article deals with the study of a variational-like inequality problem which involves generalized Cayley operator. We compare our fixed point equation, and based on it we construct an iterative algorithm to obtain solution problem. Convergence analysis as well stability are studied.

i ii Chapter 1 Introduction In [11], Hamilton determined a sharp differential Harnack inequality of Li–Yau type for complete solutions of the Ricci flow with non-negative curvature operator. This Li–Yau–Hamilton inequality (abbreviated as LYH inequality below) is of critical importance to the understanding of singularities of the Ricci flow, as is evident from its numerous applications in [10],...