Mixed monotone-generalized contractions in partially ordered probabilistic metric spaces

Abstract

Abstract In this article, a new concept of mixed monotone-generalized contraction in partially ordered probabilistic metric spaces is introduced, and some coupled coincidence and coupled fixed point theorems are proved. The theorems Presented are an extension of many existing results in the literature and include several recent developments. Mathematics Subject Classification: Primary 54H25; Secondary 47H10.

Keywords

• probabilistic metric spacemixed monotone property
• partially ordered set
• coupled coincidence fixed point
• coupled fixed point