Common fixed point theorems of Meir-Keeler contraction type in complex valued metric space and an application to dynamic programming

Abstract

The purpose of this paper is to prove common fixed point theorems for four self- mappings satisfying Meir-Keeler contraction type, via implicit relation, in complex valued metric space, using both concepts compatible and weakly compatible mappings. We establish our results upon dynamic programming, Some examples are given in order to support our results.

Subject Classification: (2010):

• 47H10
• 90C39

Keywords:

• Common fixed point
• Complex-valued metric space
• Meir-Keeler contraction
• Implicit relation
• Dynamic programming