Common fixed points for four non-self mappings in partial metric spaces. (English) Zbl 07217179

Rugumisa, Terentius; Kumar, Santosh; Imdad, Mohammad

Math. Bohem. 145, No. 1, 45-63 (2020).

Summary: We formulate a common fixed point theorem for four non-self mappings in convex partial metric spaces. The result extends a fixed point theorem by L. Gajić and V. Rakočević [Appl. Math. Comput. 187, No. 2, 999–1006 (2007; Zbl 1118.54304)] proved for two non-self mappings in metric spaces with a Takahashi convex structure. We also provide an illustrative example on the use of the theorem.

MSC:

47H10	Fixed-point theorems
54H25	Fixed-point and coincidence theorems (topological aspects)

Keywords:

common fixed point; convex partial metric space; non-self mapping

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