Some Fixed Point Theory Results for the Interpolative Berinde Weak Operator

Author:

Ampadu Clement Boateng

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.

Publisher

Earthline Publishers

Reference8 articles.

1. Erdal Karapinar, Ravi Agarwal and Hassen Aydi, Interpolative Reich-Rus-Ćirić type contractions on partial metric spaces, Mathematics 6 (2018), 256. https://doi.org/10.3390/math6110256

2. V. Berinde, Approximating fixed points of weak contractions using the Picard iteration, Nonlinear Anal. Forum 9(1) (2004), 43-53.

3. Muttalip Özavsar, Fixed point theorems for (k; l)-almost contractions in cone metric spaces over Banach algebras, Mathematical Advances in Pure and Applied Sciences 1(1) (2018), 46-51.

4. R. Krishnakumar and M. Marudai, Fixed point theorems in partial cone metric spaces, Global Journal of Mathematical Sciences: Theory and Practical 4(2) (2012), 97-105.

5. S. Sadiq Basha, Best proximity point theorems, J. Approx. Theory 163 (2011), 1772-1781. https://doi.org/10.1016/j.jat.2011.06.012

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