Document Type : Research Paper

Authors

• Sushanta Kumar Mohanta
• Rima Maitra

West Bengal State University, Barasat, 24 Parganas(North), Kolkata-700126, West Bengal, India

Abstract

 In this paper, we prove some coupled coincidence point theorems for mappings satisfying generalized contractive conditions under a new invariant set in ordered cone metric spaces. In fact, we obtain sufficient conditions for existence of coupled coincidence points in the setting of cone metric spaces. Some examples are provided to verify the effectiveness and applicability of our results.

Keywords

• $psi $-map
• $varphi $-map
• coupled coincidence point
• strongly $(F,g)$-invariant set