Author/Authors :
Ameer, Eskandar Department of Mathematics - Taiz University, Taiz , Aydi, Hassen Department of Mathematics - College of Education of Jubail - Imam Abdulrahman Bin Faisal University, Industrial Jubail, Saudi Arabia , Arshad, Muhammad Department of Mathematics - International Islamic University, Islamabad, Pakistan , Hussain, Aftab Department of Mathematics - Faculty of Natural Sciences - Centre for Mathematical Research - Khawaja Fareed University of Engineering and Information Technology Rahim Yar Khan, Pakistan , Khan, Abdul Rahim Department of Mathematic - King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia
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 α∗-η∗-θ-contractions defined on α-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 , alpha -complete b-metric space , alpha-continuous multi-valued mappings , triangular alpha-orbital admissible , generalized multi-valued alphaast-etaast-theta-contractions.
