Coupled g-coincidence point theorems for a generalized compatible pair in complete metric spaces

• Main Authors: Na Nan N., Charoensawan P.
• Format: Article
• Published: Springer Publishing Company 2015
• Subjects: Geometry and Topology; Applied Mathematics
• Online Access: http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84922550742&origin=inward; http://cmuir.cmu.ac.th/handle/6653943832/38879
• Institution: Chiang Mai University

© 2014, Na Nan and Charoensawan; licensee Springer. In this work, we give the notions of coupled g-coincidence point and [InlineEquation not available: see fulltext.]-increasing property of F for mappings [InlineEquation not available: see fulltext.] and [InlineEquation not available: see fulltext.] and prove the existence and uniqueness of a coupled g-coincidence point theorem for mappings [InlineEquation not available: see fulltext.] and [InlineEquation not available: see fulltext.] with φ-contraction mappings in complete metric spaces without the [InlineEquation not available: see fulltext.]-increasing property of F and the mixed monotone property of G. Further, we apply our results to the existence and uniqueness of a coupled g-coincidence point of the given mappings with the [InlineEquation not available: see fulltext.]-increasing property of F and the mixed monotone property of H in partially ordered metric spaces.