Author/Authors :
ABBAS, MUJAHID University of Pretoria - Department of Mathematics and Applied Mathematics, South Africa , RAKOCEVI, VLADIMIR University of Nis - Faculty of Sciences and Mathematics - Department of Mathematics, Serbia , HUSSAIN, AZHAR University of Sargodha - Department of Mathematics, Pakistan
Abstract :
In this paper, we present the notions of proximal contractions of Perov first and second kind and proximal cyclic contractions of Perov type and prove the existence and uniqueness of coincidence best proximity point under these contractive conditions in the frame work of regular cone metric space. Our results extend and generalized many existing results in literature.