International Journal of Structural Mechanics and Finite Elements
Common Fixed Point Theorem in 2-Metric Space Satisfying Rational Inequality
Abstract
Some common fixed point theorems using a new technique by altering distance between the points with the help of certain continues control function. On the other hand, some fixed point theorems by using a non monotonic control function and discussed the importance of control function. In this study, using more general condition satisfying rational inequality along with by proving common fixed point theorem in 2-Metric space.Keywords
References (6)
- Khan MS. On convergence of sequences of fixed points in 2-metric space. Indian Jour. Pure. Appl. Math. 1979;10(9):1062–1067p.
- Sharma A. A generalization of Banach contraction principle to 2-metric space. Math. Sem. Notes. 1979; 7:291–295p.
- Sharma A. A note on fixed points in 2-metric spaces. Indian Jour, Pure Appl. Math. 1980 11(12):1580–1583p.
- Naidu VRS. Some fixed-point theorems in metric and 2-metric spaces U.M.M.S. 2001;28(11):625–636p.
- Khan MS, Swaleh M, Sessa S. Fixed point theorem by altering distance between the points. Bull. Aust. Math. Soc. 1984;30:1–9p.
- Sastry KPR, Babu GVR. Some fixed-point theorems by altering distance between the points. India Jour. Pure. Appl. Math. 1999;30(6):641–647p.