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Random fixed points of multivalued maps in Fréchet spaces

Naseer Shahzad — 2002

Archivum Mathematicum

In this paper we prove a general random fixed point theorem for multivalued maps in Frechet spaces. We apply our main result to obtain some common random fixed point theorems. Our main result unifies and extends the work due to Benavides, Acedo and Xu [4], Itoh [8], Lin [12], Liu [13], Tan and Yuan [20], Xu [23], etc.

Coincidence points and R -weakly commuting maps

Naseer ShahzadTayyab Kamran — 2001

Archivum Mathematicum

In this paper we extend the concept of R -weak commutativity to the setting of single-valued and multivalued mappings. We also establish a coincidence theorem for pairs of R -weakly commuting single-valued and multivalued mappings satisfying a contractive type condition.

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