2011/12/04 by Ion Marian Olaru, Olaru, Ion
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Equations and Boundary Problems #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA)
paper · pdf · doi:10.48550/arxiv.1112.0722
openalex publication_date 2011/12/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In the present work we shall show that nonlinear contractive conditions on TVS-cone metric spaces can be reduced to nonlinear contractive conditions on usual metric spaces. Our results extend the results of Du (2010) [W.S. Du, A note on cone metric fixed point theory and its equivalence, Nonlinear Anal. 72 (2010), 2259-2261] and results of Abdeljawad and Rezapour [T. Abdeljawad, Sh. Rezapour, Some fixed point results in TVS-cone metric spaces, Fixed Point Theory (to appear 2012)].