Fixed Points of Discontinuous Multivalued Operators in Ordered Spaces with Applications

نویسندگان

  • Shihuang H. Hong
  • Zheyong Qiu
چکیده

The influence of fixed point theorems for contractive and nonexpansive mappings see 1, 2 on fixed point theory is so huge that there are many results dealing with fixed points of mappings satisfying various types of contractive and nonexpansive conditions. On the other hand, it is also huge that well-known Brouwer’s and Schauder’s fixed point theorems for set-contractive mappings exert an influence on this theory. However, if a mapping is not completely continuous, in general, it is difficult to verify that the mapping satisfies the setcontractive condition. In 1980, Mönch 3 has obtained the following important fixed point theorem which avoids the above mentioned difficulty.

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تاریخ انتشار 2010