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Common fixed points for commuting and compatible maps

Ismat Beg, Akbar Azam (1996)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

Fixed point theorems of multivalued hybrid contractions and Meir-Keeler type multivalued maps are obtained in a metric space. Our results generalize corresponding results of Aubin and Siegel, Dube, Dube and Singh, Hadzic, Iseki, Jungck, Kaneko, Nadler, Park and Bae, Reich, Ray and many others.

Common fixed points for four non-self mappings in partial metric spaces

Terentius Rugumisa, Santosh Kumar, Mohammad Imdad (2020)

Mathematica Bohemica

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 Gajić and Rakočević (2007) 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.

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