φ–NEARLY LIPSCHITZIAN AND STRONGLY PSEUDO-CONTRACTIVE MAPPINGS IN CATp(0) SPACES VIA FIXED POINT THEORY

φ–NEARLY LIPSCHITZIAN AND STRONGLY PSEUDO-CONTRACTIVE MAPPINGS IN CATp(0) SPACES VIA FIXED POINT THEORY

M. S. Moradi, H. Afshari, M. Ilmakchi

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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.

Keywords

φ–nearly Lipschitzian mapping, CAT(0) spaces, generalized strongly pseudocontractive mapping.