Two extensions of coupled coincidence point results for nonlinear contractive mappings
Sedghi, S., Kumam, P., Dosˇenovic´, T., Shobe, N. (2015). Two extensions of coupled coincidence point results for nonlinear contractive mappings. EKB Journal Management System, 23(2), 343-351. doi: 10.1016/j.joems.2014.06.002
Shaban Sedghi; Poom Kumam; Tatjana Dosˇenovic´; Nabi Shobe. "Two extensions of coupled coincidence point results for nonlinear contractive mappings". EKB Journal Management System, 23, 2, 2015, 343-351. doi: 10.1016/j.joems.2014.06.002
Sedghi, S., Kumam, P., Dosˇenovic´, T., Shobe, N. (2015). 'Two extensions of coupled coincidence point results for nonlinear contractive mappings', EKB Journal Management System, 23(2), pp. 343-351. doi: 10.1016/j.joems.2014.06.002
Sedghi, S., Kumam, P., Dosˇenovic´, T., Shobe, N. Two extensions of coupled coincidence point results for nonlinear contractive mappings. EKB Journal Management System, 2015; 23(2): 343-351. doi: 10.1016/j.joems.2014.06.002

Two extensions of coupled coincidence point results for nonlinear contractive mappings

Journal of the Egyptian Mathematical Society
Volume 23, Issue 2, 2015, Page 343-351  XML PDF (543.25 K)
Document Type: Original Article
DOI: 10.1016/j.joems.2014.06.002
View on SCiNiTO View on SCiNiTO
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
Statistics
Article View: 53
PDF Download: 18