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Common Fixed Point Theorems in a Complete 2-metric Space

Debashis Dey, Mantu Saha (2013)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

In the present paper, we establish a common fixed point theorem for four self-mappings of a complete 2-metric space using the weak commutativity condition and A -contraction type condition and then extend the theorem for a class of mappings.

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.

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