Ciric type multi-valued $alpha _{ast }$-$eta _{ast }$-$theta $-‎contractions on b-metric spaces with applications

Author(s):

Eskandar Ameer , Hassen Aydi , Muhammad Arshad , Aftab Hussain* , Abdul rahim Khan

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

‎In this paper‎, ‎we give sufficient conditions for the existence of solutions‎ of a system of Volterra-type integral inclusion equations using new sort of‎ multi-valued contractions‎, ‎named as generalized multi-valued $alpha _{ast‎} ‎$-$eta _{ast }$-$theta $-contractions defined on $alpha $-complete‎ ‎b-metric spaces‎. ‎We give its relevance to fixed point results‎. ‎We set up an‎ ‎example to elucidate our main results‎.

Keywords:

fixed point , α-complete b-metric space , α-continuous multi-valued mappings , triangular α-orbital admissible , generalized multi-valued α∗-η∗-θ-contractions

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:12 Issue: 1, Winter-Spring 2021
Pages:
597 to 614
https://www.magiran.com/p2261239