Convergence analysis of picard-s hybrid iteration scheme for multi-valued map having a fixed point

Abstract

In this paper, we define Picard-S hybrid iteration for a multi-valued mapping of T with an invariant point ? along with explanation that under certain conditions, this iteration gets converged to an invariant point ? belonging to T. However, it is essential, to note that this invariant point ? may be different from ?. In this process, several results are generalized.