Open AccessAnalytical and numerical aspect of coincidence point problem of quasi-contractive operators
Author(s) -
Faik Gürsoy,
Müzeyyen Ertürk,
Abdul Khan Rahim,
Vatan Karakaya
Publication year - 2019
Publication title -
publications de l'institut mathématique
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.246
H-Index - 17
eISSN - 1820-7405
pISSN - 0350-1302
DOI - 10.2298/pim1919101g
Subject(s) - convergence (economics) , mathematics , coincidence , metric (unit) , stability (learning theory) , extension (predicate logic) , regular polygon , class (philosophy) , point (geometry) , rate of convergence , mathematical optimization , space (punctuation) , current (fluid) , metric space , computer science , mathematical analysis , geometry , medicine , computer network , channel (broadcasting) , operations management , alternative medicine , engineering , pathology , machine learning , artificial intelligence , electrical engineering , economics , programming language , economic growth , operating system
We propose a new Jungck-S iteration method for a class of quasi-contractive operators on a convex metric space and study its strong convergence, rate of convergence and stability. We also provide conditions under which convergence of this method is equivalent to Jungck-Ishikawa iteration method. Some numerical examples are provided to validate the theoretical findings obtained herein. Our results are refinement and extension of the corresponding ones existing in the current literature.