Common fixed points of single-valued and multivalued maps. (English) Zbl 1087.54019

Summary: We define a new property which contains the property (EA) for a hybrid pair of single- and multivalued maps and give some new common fixed point theorems under hybrid contractive conditions. Our results extend previous ones. As an application, we give a partial answer to the problem raised by S. L. Singh and S. N. Mishra [J. Math. Anal. Appl. 256, 486–497 (2001; Zbl 0985.47046)].


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


Zbl 0985.47046
Full Text: DOI EuDML