2011/03/28 by Vasile Berinde, Berinde, Vasile
Computer Science · Mathematics · #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA) #Optimization and Variational Analysis #math.FA
paper · pdf · doi:10.48550/arxiv.1103.5285
arxiv created 2011/03/28 · openalex publication_date 2011/03/28 · arxiv updated 2011/03/29 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28
In this paper we extend the coupled fixed point theorems for mixed monotone operators F:X × X → X obtained in [T.G. Bhaskar, V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal. TMA 65 (2006) 1379-1393] by significantly weakening the involved contractive condition. Our technique of proof is essentially different and more natural. An example as well an application to periodic BVP are also given in order to illustrate the effectiveness of our generalizations.