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Zbl 1199.54201
Altun, Ishak
A common fixed point theorem for multivalued Ćirić type mappings with new type compatibility. (English)
[J] An. Ştiinţ. Univ. ``Ovidius" Constanţa, Ser. Mat. 17, No. 2, 19-26 (2009). ISSN 1223-723X; ISSN 1224-1784/e

Summary: Kaneko and Sessa defined the concept of compatibility for multivalued mappings with Hausdorff metric and proved a coincidence point theorem. After them, Pathak defined the concept of weak compatibility and proved a coincidence theorem. In the present work, we define a new type of compatibility for multivalued mappings with Hausdorff metric. This new type compatibility is different from compatibility and weak compatibility. We give a common fixed point theorem for multivalued mappings using this new type compatibility.

MSC 2000:: *54H25 Fixed-point theorems in topological spaces
47H10 Fixed point theorems for nonlinear operators on topol.linear spaces

Keywords: fixed point; multivalued mapping; Hausdorff metric

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