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Inference of a Common Fixed Point Theorem on Four Self Maps

by V. Srinivas, R. Umamaheshwar Rao
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 71 - Number 10
Year of Publication: 2013
Authors: V. Srinivas, R. Umamaheshwar Rao
10.5120/12391-8762

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 },
issue_date = { June 2013 },
volume = { 71 },
number = { 10 },
month = { June },
year = { 2013 },
issn = { 0975-8887 },
pages = { 1-3 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume71/number10/12391-8762/ },
doi = { 10.5120/12391-8762 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:35:10.292249+05:30
%A V. Srinivas
%A R. Umamaheshwar Rao
%T Inference of a Common Fixed Point Theorem on Four Self Maps
%J International Journal of Computer Applications
%@ 0975-8887
%V 71
%N 10
%P 1-3
%D 2013
%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
  1. B. Fisher and etal, "Common Fixed Point Theorems for Compatible Mappings", Internat. J. Math. & Math. Sci, 3(1996), 451-456.
  2. G . Jungck, "Compatible Mappings and Common Fixed Points", Internat. J. Math. Math. Sci . 9(1986), 771-779.
  3. G. Jungck, B. E. Rhoades, Fixed Point for set valued Functions without Continuity, Indian. J. Pure. Appl. Math,3(1998), 227-238.
  4. G. Jungck. , B. E. Rhoades, Fixed point for set valued functions without continuity, Indian J. Pure . Appl. Math, 3 (1998), 227-238.
  5. V. Srinivas, R. Umamaheshwar Rao, A Fixed point Theorem for Weekly Compatible Mappings, Journal of Mathematical Sciences & Engineering Applications, 1(2007),41-48.
  6. 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

Keywords

Fixed point self maps compatible maps weakly compatible mappings associated sequence