new approach of lebesgue integral in revised fuzzy cone metric spaces via unique coupled fixed point theorems

Introduction/purpose: this article introduces the concept of revised fuzzy cone contraction by using the concept of a traiangular conorm and revised fuzzy cone contractive conditions. methods: this article established new revised fuzzy cone contraction (rfc-c) type unique coupled fixed point theorems (fp theorems) in revised fuzzy cone metric spaces (rfcms) by using the triangular property of rfcms. results: the obtained results on fixed points in revised fuzzy cone metric spaces generalize some known results in the litrature and present illustrative examples to support the main work. conclusion: the rfc contractive conditions generalize some important contraction types and examine the existence of a fixed point in revised fuzzy cone metric spaces. in addition, the lebesgue integral type mapping is applied to get the existence result of a unique coupled fixed point in rfcms to validate the main work.