Abstract

Fixed Point Theorem for -weak Contraction Mappings

Meenu, Vinod Kumar1 and Sushma2

Research Scholar, Department of Mathematics, Baba Mastnath University, Rohtak, INDIA. and Asst. Prof., Department of Mathematics, A.I.J.H.M. College, Rohtak, INDIA. 1Professor, Department of Mathematics, Baba Mastnath University, Rohtak, INDIA 2Asst. Professor, Department of Mathematics, Kanya Mahavidyalaya, Kharkhoda (Sonepat)

ABSTRACT

In this paper, we present some common fixed point theorem for generalized -weak contraction mappings. Also, we discuss the existence and uniqueness of common fixed points for single valued mappings satisfying the notion of weak compatibility in a complete metric space. 2010 Mathematics Subject Classification: 47H10, 54H25, 54E60.

Keywords :Common fixed point, weakly compatible maps, complete metric space.

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