Common Fixed Point Results for the (F, L)-Weak Contraction on Complete Weak Partial Metric Spaces
Meltem Kaya *
Department of Mathematics, Kahramanmaraş Sütçü _İmam University, Kahramanmaraş, 46100, Turkey.
Hasan Furkan
Department of Mathematics, Kahramanmaraş Sütçü _İmam University, Kahramanmaraş, 46100, Turkey.
Metin Başarır
Department of Mathematics, Sakarya University, Sakarya, 54187, Turkey.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we define the concepts of (F, L)-contraction and (F,L)-weak contraction in weak partial metric space which is generalized metric space. Using these concepts we prove some common fixed point theorems for two self mappings and we give some fixed point results for a single mapping in weak partial metric spaces. Also, we give some examples to support our new results. The theorems obtained here extend and generalize many results in the literature.
Keywords: (F, L)-contraction, (F, L)-weak contraction, fixed point, common fixed point, weak partial metric space.