Common fixed point of generalized weak contractive mappings in partially ordered b-metric spaces

By Asadollah Aghajani, Mujahid Abbas, Jamal Rezaei Roshan. 2014

309 citations recorded by the source corpus.

We prove some common fixed point results for four mappings satisfying generalized weak contractive condition in partially ordered complete b-metric spaces. Our results extend and improve several comparable results in the existing literature

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/7aa58f2c315f094cb1653ccaea44fc058eb6b5dc

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In Geometry and Topology

Citations in the corpus

New fixed point theorems for set-valued contractions in b-metric spaces (2015, background): “In the last period many mathematicians obtained fixed point results for single-valued or set-valued functions, in the setting of b-metric spaces (see, for example, [1], [8], [9], [10], [17], [23], [24], [29], [30] and the references therein).”
Some new contractive mappings on S-metric spaces and their relationships with the mapping (S25) (2017, background): “Roshan proved some common fixed point results for four mappings satisfying generalized weak contractive condition on partially ordered complete bmetric spaces [1]; T.”
Various generalizations of metric spaces and fixed point theorems (2015, background): “There are several other three-variable generalizations of metric spaces such as D∗-metric spaces [131], G-cone metric spaces [30], G P-metric spaces [142], S-metric spaces [130], G∗-metric spaces [120], Gb-metric spaces [11,106], g-3ps [38], G pb -metric spaces [72], partial G-metric spaces [125], b”