φ–Nearly Lipschitzian and strongly pseudo-contractive mappings in CATp(0) spaces via fixed point theory

Abstract

This paper introduces novel conditions for mappings in CATp(0) spaces, p ≥ 2, that extend existing concepts in the literature. By leveraging the geometric properties of CATp(0) spaces, we establish two fixed point theorems for φ–nearly Lipschitzian and generalized strongly pseudo-contractive mappings.