6533b85ffe1ef96bd12c12cf

RESEARCH PRODUCT

Best proximity points: Convergence and existence theorems for p-cyclic mappings

Calogero Vetro

subject

Discrete mathematicsPure mathematicsCyclic contractionSettore MAT/05 - Analisi MatematicaApplied Mathematicsp-cyclic contraction mappings p-cyclic \phi-contraction mappings best proximity points reflexive Banach spacesBanach spaceExistence theoremAnalysisMathematics

description

Abstract We introduce a new class of mappings, called p -cyclic φ -contractions, which contains the p -cyclic contraction mappings as a subclass. Then, convergence and existence results of best proximity points for p -cyclic φ -contraction mappings are obtained. Moreover, we prove results 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] .

yearjournalcountryeditionlanguage
2010-10-01
10.1016/j.na.2010.06.008http://hdl.handle.net/10447/51848