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

Subject Areas : Functional analysis

G. N. V. Kishore ¹ , H. Işık ² , H. Aydi ³ , B. S. Rao ⁴ , D. R. Prasad ⁵

1 - Department of Engineering Mathematics, SRKR Engineering College, Bhimavaram, Andhra Pradesh, 532410, India
2 - Department of Engineering Basic Science, Band\i rma Onyedi Eyl\"{u}l University, 10200 Band\i rma, Bal\i kesir, Turkey
3 - Universit\'e de Sousse, Institut Sup\'erieur d'Informatique et des Techniques de Communication, H. Sousse 4000, Tunisia
4 - Department of Mathematics, Dr. B.R. Ambedkar University, Srikakulam Andhra Pradesh, 532410, India
5 - Department of Mathematics, K. L. University, Vaddeswaram, Guntur-522 502, Andhra Pradesh, India

Received: 2020-03-22 Accepted : 2020-11-06 Published : 2020-12-01

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

Abstract :

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.

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