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Published in 2020 at "Qualitative Theory of Dynamical Systems"
DOI: 10.1007/s12346-020-00378-1
Abstract: In this paper we introduce the concept of Hardy–Rogers type iterated function system and we prove that the fractal operator associated to such a system is a Picard operator. Some examples are provided.
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Keywords:
systems hardy;
type iterated;
rogers type;
iterated function ... See more keywords
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Published in 2021 at "Journal of Mathematics"
DOI: 10.1155/2021/9992783
Abstract: In this paper, we present new concepts on completeness of Hardy–Rogers type contraction mappings in metric space to prove the existence of fixed points. Furthermore, we introduce the concept of - interpolative Hardy–Rogers type contractions…
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Keywords:
type contraction;
interpolative hardy;
reich rus;
hardy rogers ... See more keywords
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Published in 2019 at "Symmetry"
DOI: 10.3390/sym11010008
Abstract: By using an interpolative approach, we recognize the Hardy-Rogers fixed point theorem in the class of metric spaces. The obtained result is supported by some examples. We also give the partial metric case, according to…
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Keywords:
rogers type;
type contractions;
interpolative hardy;
hardy rogers ... See more keywords
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Published in 2020 at "Symmetry"
DOI: 10.3390/sym12010081
Abstract: We introduce the notion of α -admissibility of mappings on cone b-metric spaces using Banach algebra with coefficient s, and establish a result of the Hardy-Rogers theorem in these spaces. Furthermore, using symmetry, we derive…
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Keywords:
generalized hardy;
mappings cone;
metric spaces;
cone metric ... See more keywords