Common fixed points for commuting and compatible maps. (English) Zbl 0912.47033

Beg, Ismat; Azam, Akbar

Discuss. Math., Differ. Incl. 16, No. 2, 121-135 (1996).

Summary: 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.

MSC:

47H10	Fixed-point theorems
54H25	Fixed-point and coincidence theorems (topological aspects)
47H04	Set-valued operators

Keywords:

fixed point theorems; multivalued hybrid contractions; Meir-Keeler type multivalued maps; metric space