Properties of Modified p-Cyclic Self-Maps in Metric Spaces

This paper investigates p-cyclic self-maps T:X -> X in problems involving perturbations which satisfy a distance constraint in a metric space which mixed non-expansive or contractive properties and potentially expansive properties related to some distance threshold. The above mentioned constraint is feasible in certain real-world problems. Two classes of self-maps are investigated, namely, those which become p-cyclic strict contractions in the absence of perturbations and those which in the same conditions become p-cyclic contractions of Meir-Keeler type.