Fixed Point Theorems for Reich-Type Cyclic Contraction in Partial Symmetric Spaces

Abstract

In this paper, we establish fixed point theorems for Reich-type cyclic contraction mappings in partial symmetric spaces. Under suitable completeness assumptions, we prove the existence and uniqueness of fixed points for such mappings. The obtained results extend and generalize several existing fixed point theorems for cyclic contractions in metric-type spaces. These findings contribute to the theory of partial symmetric spaces and provide a framework for further applications in nonlinear analysis.