On new types of contraction mappings in bipolar metric spaces and applications

Journal of Linear and Topological Algebra

دوره 09، شماره 04، اسفند 2020، صفحه 253-266   

نوع مقاله: Research Paper

نویسندگان

G. N. V. Kishore¹؛ H. Işık^{* 2}؛ H. Aydi³؛ B. S. Rao⁴؛ D. R. Prasad⁵

¹Department of Engineering Mathematics, SRKR Engineering College, Bhimavaram, Andhra Pradesh, 532410, India

²Department of Engineering Basic Science, Band\i rma Onyedi Eyl\"{u}l University, 10200 Band\i rma, Bal\i kesir, Turkey

³Universit\'e de Sousse, Institut Sup\'erieur d'Informatique et des Techniques de Communication, H. Sousse 4000, Tunisia

⁴Department of Mathematics, Dr. B.R. Ambedkar University, Srikakulam Andhra Pradesh, 532410, India

⁵Department of Mathematics, K. L. University, Vaddeswaram, Guntur-522 502, Andhra Pradesh, India

چکیده

Our aim is to present some common fixed point theorems in bipolar metric spaces via certain contractive conditions. Some  examples have been provided to illustrate the effectiveness of new results. At the end, we give two applications dealing with homotopy theory and integral equations.

کلیدواژه‌ها

$\lambda$-admissible mapping؛ $\lambda-(\chi, \zeta)$-type contraction mapping؛ completeness and fixed point

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