Some significant remarks on multivalued Perov type contractions on cone metric spaces with a directed graph
Апстракт
Using the approach of so-called c-sequences introduced by the fifth author in his recent work, we give much simpler and shorter proofs of multivalued Perov's type results with respect to the ones presented in the recently published paper by M. Abbas et al. Our proofs improve, complement, unify and enrich the ones from the recent papers. Further, in the last section of this paper, we correct and generalize the well-known Perov's fixed point result. We show that this result is in fact equivalent to Banach's contraction principle.
Кључне речи:
Perov's type results / multivalued mapping / graphic contraction / directed graph / c-sequence / cone metric space / common fixed pointИзвор:
AIMS Mathematics, 2021, 7, 1, 187-198Издавач:
- Amer Inst Mathematical Sciences-Aims, Springfield
Финансирање / пројекти:
- Ministry of Education, Science and Technological Development of the Republic of Serbia
DOI: 10.3934/math.2022011
ISSN: 2473-6988
WoS: 000718878200005
Scopus: 2-s2.0-85116724807
Колекције
Институција/група
Mašinski fakultetTY - JOUR AU - Savić, Ana AU - Fabiano, Nicola AU - Mirkov, Nikola AU - Sretenović, Aleksandra AU - Radenović, Stojan PY - 2021 UR - https://machinery.mas.bg.ac.rs/handle/123456789/3581 AB - Using the approach of so-called c-sequences introduced by the fifth author in his recent work, we give much simpler and shorter proofs of multivalued Perov's type results with respect to the ones presented in the recently published paper by M. Abbas et al. Our proofs improve, complement, unify and enrich the ones from the recent papers. Further, in the last section of this paper, we correct and generalize the well-known Perov's fixed point result. We show that this result is in fact equivalent to Banach's contraction principle. PB - Amer Inst Mathematical Sciences-Aims, Springfield T2 - AIMS Mathematics T1 - Some significant remarks on multivalued Perov type contractions on cone metric spaces with a directed graph EP - 198 IS - 1 SP - 187 VL - 7 DO - 10.3934/math.2022011 ER -
@article{ author = "Savić, Ana and Fabiano, Nicola and Mirkov, Nikola and Sretenović, Aleksandra and Radenović, Stojan", year = "2021", abstract = "Using the approach of so-called c-sequences introduced by the fifth author in his recent work, we give much simpler and shorter proofs of multivalued Perov's type results with respect to the ones presented in the recently published paper by M. Abbas et al. Our proofs improve, complement, unify and enrich the ones from the recent papers. Further, in the last section of this paper, we correct and generalize the well-known Perov's fixed point result. We show that this result is in fact equivalent to Banach's contraction principle.", publisher = "Amer Inst Mathematical Sciences-Aims, Springfield", journal = "AIMS Mathematics", title = "Some significant remarks on multivalued Perov type contractions on cone metric spaces with a directed graph", pages = "198-187", number = "1", volume = "7", doi = "10.3934/math.2022011" }
Savić, A., Fabiano, N., Mirkov, N., Sretenović, A.,& Radenović, S.. (2021). Some significant remarks on multivalued Perov type contractions on cone metric spaces with a directed graph. in AIMS Mathematics Amer Inst Mathematical Sciences-Aims, Springfield., 7(1), 187-198. https://doi.org/10.3934/math.2022011
Savić A, Fabiano N, Mirkov N, Sretenović A, Radenović S. Some significant remarks on multivalued Perov type contractions on cone metric spaces with a directed graph. in AIMS Mathematics. 2021;7(1):187-198. doi:10.3934/math.2022011 .
Savić, Ana, Fabiano, Nicola, Mirkov, Nikola, Sretenović, Aleksandra, Radenović, Stojan, "Some significant remarks on multivalued Perov type contractions on cone metric spaces with a directed graph" in AIMS Mathematics, 7, no. 1 (2021):187-198, https://doi.org/10.3934/math.2022011 . .