A NEW GENERALIZED COMMON FIXED POINT THEOREM AND ITS APPLICATIONS
By
Raj Kamal1 and Manju Devi2,*
1Department of Mathematics, Government College, Jind, Haryana, India -126102
2Department of Mathematics, Dr B. R. Ambedkar Government College, Jagdishpura, Kaithal, Haryana, India -132027
E-mail: pillaniark@gmail.com, manjuchahal1991m@gmail.com *Corresponding author.
(Received: August 30, 2024, In format: October 01, 2024; Revised: May 28, 2025; Accepted: June 02, 2025)
DOI: https://doi.org/10.58250/jnanabha.2025.55110
Abstract
One of the most well-known theorems in fixed point theory is the Suzuki contraction theorem, which has been unified, generalized, and expanded upon in a variety of non-equivalent ways by many authors. In this paper, we further extend a recent result of Chandra et al. [8] for a pair of maps satisfying a new Suzuki-type generalized contractive condition on a complete metric space. We provide example to show that obtained results are generalizations of comparable results in the existing literature. Existence of common solution for a system of Voltera integral equations is also discussed.
2020 Mathematical Sciences Classification: 47H10; 54H25
Keywords and Phrases: Coincidence point, common fixed point, complete metric space, generalized Suzuki type contraction