Research Article

Inference of a Common Fixed Point Theorem on Four Self Maps

by  V. Srinivas, R. Umamaheshwar Rao
journal cover
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 71 - Issue 10
Published: June 2013
Authors: V. Srinivas, R. Umamaheshwar Rao
10.5120/12391-8762
PDF

V. Srinivas, R. Umamaheshwar Rao . Inference of a Common Fixed Point Theorem on Four Self Maps. International Journal of Computer Applications. 71, 10 (June 2013), 1-3. DOI=10.5120/12391-8762

                        @article{ 10.5120/12391-8762,
                        author  = { V. Srinivas,R. Umamaheshwar Rao },
                        title   = { Inference of a Common Fixed Point Theorem on Four Self Maps },
                        journal = { International Journal of Computer Applications },
                        year    = { 2013 },
                        volume  = { 71 },
                        number  = { 10 },
                        pages   = { 1-3 },
                        doi     = { 10.5120/12391-8762 },
                        publisher = { Foundation of Computer Science (FCS), NY, USA }
                        }
                        %0 Journal Article
                        %D 2013
                        %A V. Srinivas
                        %A R. Umamaheshwar Rao
                        %T Inference of a Common Fixed Point Theorem on Four Self Maps%T 
                        %J International Journal of Computer Applications
                        %V 71
                        %N 10
                        %P 1-3
                        %R 10.5120/12391-8762
                        %I Foundation of Computer Science (FCS), NY, USA
Abstract

The aim of this paper is to prove a common fixed point theorem which generalizes the result of Brian Fisher [1] and etal. by weaker conditions. The conditions of continuity, compatibility and completeness of a metric space are replaced by weaker conditions such as weakly compatible and the associated sequence.

References
  • B. Fisher and etal, "Common Fixed Point Theorems for Compatible Mappings", Internat. J. Math. & Math. Sci, 3(1996), 451-456.
  • G . Jungck, "Compatible Mappings and Common Fixed Points", Internat. J. Math. Math. Sci . 9(1986), 771-779.
  • G. Jungck, B. E. Rhoades, Fixed Point for set valued Functions without Continuity, Indian. J. Pure. Appl. Math,3(1998), 227-238.
  • G. Jungck. , B. E. Rhoades, Fixed point for set valued functions without continuity, Indian J. Pure . Appl. Math, 3 (1998), 227-238.
  • V. Srinivas, R. Umamaheshwar Rao, A Fixed point Theorem for Weekly Compatible Mappings, Journal of Mathematical Sciences & Engineering Applications, 1(2007),41-48.
  • V. Srinivas, R. Umamaheshwar Rao, Common Fixed Point Theorem for Four Self Maps, International Journal of Mathematics Research, 2 (2011), 113-118.
Index Terms
Computer Science
Information Sciences
No index terms available.
Keywords

Fixed point self maps compatible maps weakly compatible mappings associated sequence

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