1. A coupled coincidence point theorem in partially ordered metric spaces with an implicit relation
- Author
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İlker Savas Yüce, Erdal Karapınar, Selma Gülyaz, [Gulyaz, Selma] Cumhuriyet Univ, Dept Math, Sivas, Turkey -- [Karapinar, Erdal] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey -- [Yuce, Ilker Savas] TED Univ, Ankara, Turkey, KARAPINAR, ERDAL -- 0000-0002-6798-3254, and GULYAZ, Selma -- 0000-0002-1876-6560
- Subjects
coupled fixed point ,Property (philosophy) ,implicit relation ,Relation (database) ,O-compatible ,Applied Mathematics ,ordered partial metric space ,Context (language use) ,mixed monotone property ,State (functional analysis) ,coupled coincidence point ,Algebra ,Metric space ,Differential geometry ,Geometry and Topology ,Coincidence point ,Topology (chemistry) ,Mathematics - Abstract
WOS: 000316349000001, In this manuscript, we discuss the existence of a coupled coincidence point for mappings and , where F has the mixed g-monotone property, in the context of partially ordered metric spaces with an implicit relation. Our main theorem improves and extends various results in the literature. We also state some examples to illustrate our work. MSC: 47H10, 54H25, 46J10, 46J15.
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