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.

We state and prove a Cheeger-like inequality for coexact 1-forms on closed orientable Riemannian manifolds.

Expectation is the fundamental concept in statistics and probability. As two generalizations of expectation, Choquet and Choquet-like expectations are commonly used tools in generalized probability theory. This paper considers the Stolarsky inequality for two classes of Choquet-like integrals. The first class generalizes the Choquet expectation and the second class is an extension of the Sugeno...

We introduce a class of generalized vector quasivariational-like inequality problems in Banach spaces. We derive some new existence results by using KKM-Fan theorem and an equivalent fixed point theorem. As an application of our results, we have obtained as special cases the existence results for vector quasi-equilibrium problems, generalized vector quasivariational inequality and vector quasi-...