Document Type : Research Paper

Authors

• Fayyaz Rouzkard ¹
• Mohammad Imdad ²

¹ Farhangian University, Shariati Pardis, Sari, Mazandaran Iran

² Department of Mathematics, Aligarh Muslim University, Aligarh, 202002, India

Abstract

In this paper, we introduce the concept of a w-compatible mappings and utilize the same to discuss the ideas of coupled coincidence point and coupled point of coincidence for nonlinear contractive mappings in the context of complex valued metric spaces besides proving existence theorems which are following by corresponding unique coupled common fixed point theorems for such mappings. Some illustrative examples are also given to substantiate our newly proved results.

Keywords

• Common fixed point
• Contractive type mapping
• coupled coincidence point
• coupled point of coincidence
• Complex valued metric space