Coincidence and common fixed point theorems in Non-Archimedean Menger PM-spaces
-
Sunny Chauhan
sun.gkv@gmail.com
-
B. D. Pant
badridatt.pant@gmail.com
-
Mohammad Imdad
mhimdad@yahoo.co.in
Downloads
DOI:
https://doi.org/10.4067/S0719-06462013000300004Abstract
The object of this work is to point out a fallacy in the proof of Theorem 1 contained in the recent paper of Khan et al. [Jordan J. Math. Stat. (JJMS) 5(2) (2012), 137-150] proved in Non-Archimedean Menger PM-space by using the notions of sub-compatibility and sub-sequential continuity. We show that the results of Khan et al. [Jordan J. Math. Stat. (JJMS) 5(2) (2012), 137-150] can be recovered in two ways. Further, we establish some illustrative examples to show the validity of the main results. Our results improve a multitude of relevant fixed point theorems of the existing literature.
Keywords
Similar Articles
- Shing So, Recent Developments in Taxicab Geometry , CUBO, A Mathematical Journal: Vol. 4 No. 2 (2002): CUBO, Matemática Educacional
- M.K. Gupta, Rupen Pratap Singh, Connectedness in Fuzzy bitopological Spaces , CUBO, A Mathematical Journal: Vol. 9 No. 1 (2007): CUBO, A Mathematical Journal
- Saeid Jafari, Raja Mohammad Latif, Seithuti P. Moshokoa, A note on generalized topological spaces and preorder , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
- Vjacheslav A. Yurko, Recovering Higher-order Differential Operators on Star-type Graphs from Spectra , CUBO, A Mathematical Journal: Vol. 10 No. 1 (2008): CUBO, A Mathematical Journal
- Hugo Leiva, Jesús Matute, Nelson Merentes, José Sánchez, On a type of Volterra integral equation in the space of continuous functions with bounded variation valued in Banach spaces , CUBO, A Mathematical Journal: Vol. 17 No. 2 (2015): CUBO, A Mathematical Journal
- Chia-chi Tung, On Semisubmedian Functions and Weak Plurisubharmonicity , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
- F. Cardoso, G. Vodev, Semi-Classical Dispersive Estimates for the Wave and Schr¨odinger Equations with a Potential in Dimensions 𓃠≥ 4 , CUBO, A Mathematical Journal: Vol. 10 No. 2 (2008): CUBO, A Mathematical Journal
- Takahiro Sudo, The Flip Crossed Products of the ð¶*-Algebras by Almost Commuting Isometries , CUBO, A Mathematical Journal: Vol. 10 No. 3 (2008): CUBO, A Mathematical Journal
- A.P. Farajzadeh, A. Amini-Harandi, D. O‘Regan, R.P. Agarwal, Strong vector equilibrium problems in topological vector spaces via KKM maps , CUBO, A Mathematical Journal: Vol. 12 No. 1 (2010): CUBO, A Mathematical Journal
- Rinko Shinzato, Wataru Takahashi, A Strong Convergence Theorem by a New Hybrid Method for an Equilibrium Problem with Nonlinear Mappings in a Hilbert Space , CUBO, A Mathematical Journal: Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2013-10-01
How to Cite
[1]
S. Chauhan, B. D. Pant, and M. Imdad, “Coincidence and common fixed point theorems in Non-Archimedean Menger PM-spaces”, CUBO, vol. 15, no. 3, pp. 31–44, Oct. 2013.
Issue
Section
Articles
