Nguyen Van Dung, Poom Kumam, Kanokwan Sitthithakerngkiet
Published 2013-09-22, updated 2014-03-18Version 3
In this paper, we state and prove a generalization of \'Ciri\'c fixed point theorems in metric space by using a new generalized quasi-contractive map. These theorems extend other well known fundamental metrical fixed point theorems in the literature. Moreover, a multi-valued version for generalized quasi-contraction is also established.
Yet Another Generalization of The Notion of a Metric Space
Chatterjea type fixed point in Partial $b$-metric spaces
Functionally $σ$-discrete mappings and a generalization of Banach's theorem
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