TY - JOUR
T1 - Best proximity points: Convergence and existence theorems for p-cyclic mappings
AU - Vetro, Calogero
PY - 2010
Y1 - 2010
N2 - 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) [8].
AB - 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) [8].
KW - best proximity points
KW - p-cyclic \phi-contraction mappings
KW - p-cyclic contraction mappings
KW - reflexive Banach spaces
KW - best proximity points
KW - p-cyclic \phi-contraction mappings
KW - p-cyclic contraction mappings
KW - reflexive Banach spaces
UR - http://hdl.handle.net/10447/51848
UR - http://dx.doi.org/10.1016/j.na.2010.06.008
M3 - Article
VL - 73
SP - 2283
EP - 2291
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
SN - 0362-546X
ER -