The class Φα of auxiliary functions and fixed point in G-metric space
Abstract
Some generalizations of the fixed point theorems of Mohanta [1], Mustafa and Sims [2] and of Vats et al [7] are proved, under a new class Φ α of auxiliary functions. Also, G-contractive fixed points are obtained for some contraction type conditions.
Copyright © 2016 T. Phaneendra, S. Saravanan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
T. Phaneendra, S. Saravanan, The class Φα of auxiliary functions and fixed point in G-metric space, Adv. Fixed Point Theory 7 (2017), 80–96.
BibTeX
@article{Phaneendra2017,
author = {Phaneendra, T. and Saravanan, S.},
title = {The class Φα of auxiliary functions and fixed point in G-metric space},
journal = {Adv. Fixed Point Theory},
volume = {7},
year = {2017},
pages = {80--96},
doi = {}
}