237 citations · 538 across the 32 of their papers we have counts for
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A - contraction Principle in Partial Metric Spaces with Self-distance Terms
Thabet Abdeljawad, Younis Zaidan, Naseer Shahzad
We prove a generalized contraction principle with control function in complete partial metric spaces. The contractive type condition used allows the appearance of self distance ter…
Banach Contraction Principle for Cyclical Mappings on Partial Metric Spaces
Thabet Abdeljawad, Jehad O. Alzabut, Aiman Mukheimer +1
In this paper, we prove that the Banach contraction principle proved by S. G. Matthews in 1994 on 0--complete partial metric spaces can be extended to cyclical mappings. However, t…
Locally Convex Valued Rectangular Metric Spaces and The Kannan's Fixed Point Theorem
Thabet Abdeljawad, Duran Türkoğlu
Rectangular TVS-cone metric spaces are introduced and Kannan's fixed point theorem is proved in these spaces. Two approaches are followed for the proof. At first we prove the theor…
On Some Topological Concepts of TVS-Cone Metric Spaces and Fixed Point Theory Remarks
Thabet Abdeljawad, Shahram Rezapour
We prove that every TVS-cone metric space (i.e a cone metric space over a locally convex topological vector space ) is first countable paracompact topological space and by using…