Dislocated quasi rectangular $b$-metric spaces and fixed point theorems of cyclic and weakly cyclic contractions

Document Type : Research Paper


1 Department of Mathematics, ant Dnyaneshwar Mahavidyalaya, Soegaon, Aurangabad, India

2 School of Mathematical Sciences, North Maharashtra University Jalgaon, India


In this paper we have established fixed point theorems for $dq$-rectangular $b$-cyclic-Banach and $dq$-rectangular $b$-cyclic-Kannan contraction mappings in dislocated quasi rectangular $b$-metric spaces. We have also presented examples to support some of our results.