Two extensions of coupled coincidence point results for nonlinear contractive mappings | ||
| Journal of the Egyptian Mathematical Society | ||
| Volume 23, Issue 2, 2015, Pages 343-351 PDF (543.25 K) | ||
| Document Type: Original Article | ||
| DOI: 10.1016/j.joems.2014.06.002 | ||
| Authors | ||
| Shaban Sedghi1; Poom Kumam* 2; Tatjana Dosˇenovic´3; Nabi Shobe4 | ||
| 1Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran | ||
| 2Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bang Mod, Thung Khru, Bangkok 10140, Thailand | ||
| 3Faculty of Technology, Bulevar Cara Lazara 1, Novi Sad, Serbia | ||
| 4Department of Mathematics, Islamic Azad University-Babol Branch, Iran | ||
| Abstract | ||
| In this paper, the notion of mixed f, g monotone mapping is introduced, and the coupled coincidence point theorem for nonlinear contractive mappings in partially ordered complete metric spaces has been proved. Presented theorems are generalizations of the recent fixed point theorems due to Lakshmikantham and C´ iric´ (2009) [17] and include several recent developments. Also, using the theory of countable extension of t-norm, it has been proved that a common fixed point theorem given in C´ iric´ (2011) [12] hold for a more general classes of t-norms in fuzzy metric spaces. Their theorem can be used to investigate a large class of problems and has discussed the existence and uniqueness of solution for a periodic boundary value problem. | ||
| Keywords | ||
| Coupled coincidence; Coupled common fixed point; Partially ordered set; Mixed monotone mapping; Triangular norm; Fuzzy metric space | ||
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