Controlled metric type spaces and the related contraction principle

N Mlaiki, H Aydi, N Souayah, T Abdeljawad - Mathematics, 2018 - mdpi.com
In this article, we introduce a new extension of b-metric spaces, called controlled metric type
spaces, by employing a control function α (x, y) of the right-hand side of the b-triangle …

Double controlled metric type spaces and some fixed point results

T Abdeljawad, N Mlaiki, H Aydi, N Souayah - Mathematics, 2018 - mdpi.com
In this article, in the sequel of extending b-metric spaces, we modify controlled metric type
spaces via two control functions α (x, y) and μ (x, y) on the right-hand side of the b-triangle …

ω-Interpolative Ćirić-Reich-Rus-Type Contractions

H Aydi, E Karapinar, AF Roldán López de Hierro - Mathematics, 2019 - mdpi.com
Mathematics | Free Full-Text | ω-Interpolative Ćirić-Reich-Rus-Type Contractions Next Article in
Journal Effect of Slip Surface’s Continuity on Slope Dynamic Stability Based on Infinite Slope …

Interpolative Ćirić-Reich-Rus type contractions via the Branciari distance

H Aydi, CM Chen, E Karapınar - Mathematics, 2019 - mdpi.com
Mathematics | Free Full-Text | Interpolative Ćirić-Reich-Rus Type Contractions via the
Branciari Distance Next Article in Journal Alexandrov L-Fuzzy Pre-Proximities Next Article in …

Hybrid Multivalued Type Contraction Mappings in αK-Complete Partial b-Metric Spaces and Applications

E Ameer, H Aydi, M Arshad, H Alsamir, MS Noorani - Symmetry, 2019 - mdpi.com
In this paper, we initiate the notion of generalized multivalued (α K*, Υ, Λ)-contractions and
provide some new common fixed point results in the class of α K-complete partial b-metric …

Controlled fuzzy metric spaces and some related fixed point results

MS Sezen - Numerical Methods for Partial Differential …, 2021 - Wiley Online Library
In this paper, we introduce a new extension in the subject of fuzzy metric, called controlled
fuzzy metric space. This notion is a generalization of fuzzy b‐metric space. Also, we prove a …

[PDF][PDF] Nonunique fixed point theorems on b-metric spaces via simulation functions

H Aydi, E Karapınar, V Rakocevic - Jordan J. Math. Stat, 2019 - journals.yu.edu.jo
Based on the concepts of α-orbital admissibility given by Popescu in [29] and simulation
functions introduced by Khojasteh in [25], we introduce in this paper different types of …

Set-Valued Interpolative Hardy–Rogers and Set-Valued Reich–Rus–Ćirić-Type Contractions in b-Metric Spaces

P Debnath, M de La Sen - Mathematics, 2019 - mdpi.com
In this paper, using an interpolative approach, we investigate two fixed point theorems in the
framework of ab-metric space whose all closed and bounded subsets are compact. One of …

Double controlled metric-like spaces

N Mlaiki - Journal of Inequalities and Applications, 2020 - Springer
In this paper, we introduce a new extension of the double controlled metric-type spaces,
called double controlled metric-like spaces, by assuming that the “self-distance” may not be …

[PDF][PDF] Interpolative Hardy-Rogers and Reich-Rus-Ciric type contractions in b-metric spaces and rectangular b-metric spaces

P Debnath, ZD Mitrovic, S Radenovic - Math. Vesnik, 2020 - elib.mi.sanu.ac.rs
In this paper, we investigate two fixed point theorems in the framework of b-metric spaces
and rectangular b-metric spaces, using interpolative approach. One is Hardy-Rogers and …