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Coupled Fixed Point Theorem for Generalized Contraction in Complex-Valued Metric Spaces

by Jitender Kumar, Sachin Vashistha
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 83 - Number 7
Year of Publication: 2013
Authors: Jitender Kumar, Sachin Vashistha
10.5120/14463-2745

Jitender Kumar, Sachin Vashistha . Coupled Fixed Point Theorem for Generalized Contraction in Complex-Valued Metric Spaces. International Journal of Computer Applications. 83, 7 ( December 2013), 36-40. DOI=10.5120/14463-2745

@article{ 10.5120/14463-2745,
author = { Jitender Kumar, Sachin Vashistha },
title = { Coupled Fixed Point Theorem for Generalized Contraction in Complex-Valued Metric Spaces },
journal = { International Journal of Computer Applications },
issue_date = { December 2013 },
volume = { 83 },
number = { 7 },
month = { December },
year = { 2013 },
issn = { 0975-8887 },
pages = { 36-40 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume83/number7/14463-2745/ },
doi = { 10.5120/14463-2745 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:58:58.070059+05:30
%A Jitender Kumar
%A Sachin Vashistha
%T Coupled Fixed Point Theorem for Generalized Contraction in Complex-Valued Metric Spaces
%J International Journal of Computer Applications
%@ 0975-8887
%V 83
%N 7
%P 36-40
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The aim of this paper is to prove a coupled fixed point theorem for a pair of mappings in complex valued metric space, which generalized the results of Marwan Amin Kutbi et al. [4]

References
  1. A. Azam, B. Fisher and M. Khan. Common fixed point theorems in complex valued metric spaces. Numerical Functional Analysis and Optimization, 32(3):243-253, 2011.
  2. F. Rouzkard and M. Imdad. Some common fixed point theorems on complex valued metric spaces. Computers Mathematics and Applications, 64(6):1866-1874.
  3. J. Ahmad, M. Arshad and C. Vetro. On a theorem of Khan in a generalized metric space. International Journal of Analysis, 2013, Article ID 852727, 6 pages, 2013.
  4. S. Bhatt, S. Chankiyal and R. C. Dimri. Comon fixed point of mappings satisfying rational inequality in complex valued metric space. International Journal of Pure and Applied Mathematics, 73(2):159-164, 2011.
  5. W. Sintunavarat and P. Kuman. Generalized common fixed point theorems in complex valued metric spaces and applications. Journal of Inequalities and Applications, 2012, Article ID 84, 2012.
  6. M. A. Kutbi, J. Ahmad, N. Hussain and M. Arshad. Common fixed point results for mappings with rational expressions. Abstract and Applied Analysis, 2013, Article ID 4549518, 11 pages, 2013.
  7. M. A. Kutbi, A. Azam, J. Ahmad and C. D. Bari. Some common coupled fixed point results for generalized contractions in complex-valued metric spaces. Journal of Applied Mathematics, 2013, Article ID 352927, 10 pages, 2013.
  8. S. M. Kang, M. Kumar, P. Kumar and S. Kumar. Coupled fixed point theorems in complex valued metric spaces. Int. Journal of Math. Analysis, 7(46):2269-2277, 2013.
  9. T. G. Bhaskar and V. Lakshmikantham. Fixed point theorems in partially ordered metric spaces and applications. Nonlinear Analysis: Theory Methods is Applications, 65(7), 1379-1393, 2006.
Index Terms

Computer Science
Information Sciences

Keywords

Coupled fixed point theorem Contractive type mapping Complex valued metric space.

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