Title of article :
beta-type and generalized beta-gamma -type multi-valued contractive mappings in a Menger PbM-space
Author/Authors :
Lotfali Ghasab, Ehsan Shahid Chamran University, Ahvaz , Majani, Hamid Shahid Chamran University, Ahvaz , Soleimani Rad, Ghasem Islamic Azad University West Tehran Branch, Tehran
Abstract :
In the present paper, we introduce the notions of beta-type and beta gamma-type multi-valued contractive mappings in a Menger PbM-space and obtain some new fixed point theorems for both beta-admissible and (beta,gamma)-admissible mappings. Our results extensively generalize previous results in this framework. Furthermore, we support our results by some non-trivial examples and an application.
Keywords :
Menger PbM-spaces , B-admissible , B-Y admissible
Journal title :
Journal of Mathematical Extension(IJME)