doiSerbia

Fixed points of α-dominated mappings on dislocated quasi metric spaces

Arshad Muhammad (International Islamic University, Department of Mathematics, Islamabad, Pakistan)
Kadelburg Zoran (Faculty of Mathematics, Beograd)
Radenović Stojan (Ton Duc Thang University, Nonlinear Analysis Research Group, Ho Chi Minh City, Vietnam + Ton Duc Thang University, Faculty of Mathematics and Statistics, Ho Chi Minh City, Vietnam)
Shoaib Abdullah (Riphah International University, Department of Mathematics and Statistics, Islamabad, Pakistan)
Shukla Satish (Shri Vaishnav Institute of Technology & Science Gram Baroli, Department of Applied Mathematics, Indore, India)

We prove some common fixed point results for two α-dominated mappings satisfying some restricted contractive conditions on a closed ball of a left (right) K-sequentially complete dislocated quasi metric space. Some examples are given to show the utility of our work. The results of this paper complement, extend and enrich several recent results in the literature.

Keywords: Unique common fixed point, contractive mapping, α-dominated mapping, complete dislocated quasi metric space

Project of the Serbian Ministry of Education, Science and Technological Development, Grant no. 174002