Fixed Point Results of Dynamic Process through -Contractions with Applications
Author(s) -
Amjad Ali,
Eskandar Ameer,
Muhammad Arshad,
Hüseyin Işık,
Mustafa Mudhesh
Publication year - 2022
Publication title -
complexity
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.447
H-Index - 61
eISSN - 1099-0526
pISSN - 1076-2787
DOI - 10.1155/2022/8495451
Subject(s) - mathematics , metric space , fixed point , sequence (biology) , dynamic equation , discrete mathematics , pure mathematics , mathematical analysis , physics , genetics , nonlinear system , quantum mechanics , biology
This article constitutes the new fixed point results of dynamic process D(ϒ, μ0) through FIC-integral contractions of the Ciric kind and investigates the said contraction to iterate a fixed point of set-valued mappings in the module of metric space. To do so, we use the dynamic process instead of the conventional Picard sequence. The main results are examined by tangible nontrivial examples which display the motivation for such investigation. The work is completed by giving an application to Liouville‐Caputo fractional differential equations.
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