We introduce a new class of mappings, called p-cyclic \phi-contractions, which contains the p-cyclic contraction mappings as a subclass. Then, convergence and existence results of best proximity points for p-cyclic \phi-contraction mappings are obtained. Moreover, we proveresults of the existence of best proximity points in a reflexive Banach space. These results are generalizations of the results of Al-Thagafi and Shahzad (2009) .
|Number of pages||9|
|Publication status||Published - 2010|
All Science Journal Classification (ASJC) codes
- Applied Mathematics