Some Fixed Point Theory Results for the Interpolative Berinde Weak Operator
Open Access
- 2 June 2020
- journal article
- Published by Earthline Publishers in Earthline Journal of Mathematical Sciences
- Vol. 4 (2), 253-271
- https://doi.org/10.34198/ejms.4220.253271
Abstract
Partially inspired by [Erdal Karapinar, Ravi Agarwal and Hassen Aydi, Interpolative Reich-Rus-Ćirić type contractions on partial metric spaces, Mathematics 6 (2018), 256] and [V. Berinde, Approximating fixed points of weak contractions using the Picard iteration, Nonlinear Anal. Forum 9(1) (2004), 43-53], we introduce a concept of interpolative Berinde weak contraction, and obtain some existence theorems for mappings satisfying such a contractive definition, and some of its extensions.Keywords
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