Iterated function system of generalized contractions in partial metric spaces
Filomat, Tome 35 (2021) no. 15, p. 5161
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In this paper we aim to obtain the attractors with the assistance of a finite family of generalized contractive mappings, which belong to a special class of mappings defined on a partial metric space. Consequently, a variety of results for iterated function systems satisfying a different set of generalized contractive conditions are acquired. We present some examples in support of the results proved herein. Our results generalize, unify and extend a variety of results which exist in current literature
Classification :
47H10, 47H04, 47H07
Keywords: Iterated function system, attractor, fixed point, generalized contraction, partial metric space
Keywords: Iterated function system, attractor, fixed point, generalized contraction, partial metric space
Talat Nazir; Melusi Khumalo; Vuledzani Makhoshi. Iterated function system of generalized contractions in partial metric spaces. Filomat, Tome 35 (2021) no. 15, p. 5161 . doi: 10.2298/FIL2115161N
@article{10_2298_FIL2115161N,
author = {Talat Nazir and Melusi Khumalo and Vuledzani Makhoshi},
title = {Iterated function system of generalized contractions in partial metric spaces},
journal = {Filomat},
pages = {5161 },
year = {2021},
volume = {35},
number = {15},
doi = {10.2298/FIL2115161N},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2115161N/}
}
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