The purpose of this paper is to derive new common fixed point theorems for a pair of mappings satisfying a more general weakly contractive condition with weaker control functions in a complete metric space. Applications to new fixed point results with conditions of integral type are also given. We furnish an example to demonstrate that these results improve the previously existing ones.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap104-2-1,
author = {Hemant Kumar Nashine},
title = {New fixed point theorems for mappings satisfying a generalized weakly contractive condition with weaker control functions},
journal = {Annales Polonici Mathematici},
volume = {105},
year = {2012},
pages = {109-119},
zbl = {1278.54040},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap104-2-1}
}
Hemant Kumar Nashine. New fixed point theorems for mappings satisfying a generalized weakly contractive condition with weaker control functions. Annales Polonici Mathematici, Tome 105 (2012) pp. 109-119. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap104-2-1/