Abstract

Fixed Point Theorem Using Occasionally Weakly Compatible Mappings in Metric Space

V. Srinivas1 and Ravi S2

1Department of Mathematics, University College of Science, Saifabad Osmania University, Hyderabad-500004 (Telangana), INDIA. 2Department of Mathematics, University Post Graduate College, Secunderabad Osmania University, Hyderabad-500003 (Telangana), INDIA.

DOI : http://dx.doi.org/10.29055/jcms/1027

ABSTRACT

The aim of this paper is to present a common fixed point theorem in a metric space which generalizes the result of P.C. Lohani & V.H. Badshah using the weaker conditions such as occasionally weakly compatible mappings and associated sequence in place of compatibility and completeness of the metric space. Moreover the condition of continuity of any one of the mappings is being dropped. AMS (2010) Mathematics Subject Classification: 54H25, 47H10.

Keywords :Fixed point, self maps, compatible mappings, occasionally weakly compatible mappings, associated sequence.

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