Displaying similar documents to “Coincidence theorems for nonlinear hybrid contractions.”

Coincidence points and R -weakly commuting maps

Naseer Shahzad, Tayyab Kamran (2001)

Archivum Mathematicum

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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.

Common fixed points of Greguš type multi-valued mappings

R. A. Rashwan, Magdy A. Ahmed (2002)

Archivum Mathematicum

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This work is considered as a continuation of [19,20,24]. The concepts of δ -compatibility and sub-compatibility of Li-Shan [19, 20] between a set-valued mapping and a single-valued mapping are used to establish some common fixed point theorems of Greguš type under a φ -type contraction on convex metric spaces. Extensions of known results, especially theorems by Fisher and Sessa [11] (Theorem B below) and Jungck [16] are thereby obtained. An example is given to support our extension. ...