Some Contractive Type Mappings in b-metric Space | Chapter 1 | Research Updates in Mathematics and Computer Science Vol. 1

 In this paper we prove that, the unique fixed point exists for a mapping satisfying the generalized contractive type conditions in b-metric space. Here the b-metric under consideration need not be continuous function whereas the metric is a continuous function. An example is also given for the verification of the result.

Author(s) Details:

Varsha D. Borgaonkar,
P. G Department of Mathematics, N. E. S. Science College, Nanded 431602 (M.S.), India.

K. L. Bondar,
P. G Department of Mathematics, Govt. Vidarbh Institute of Science and Humanities, Amravati, India.

S. M. Jogdand,
Department of Mathematics, Shri Shivaji College of Arts, Commerce and Science, Kandhar, Nanded, India.

Please see the link here: https://stm.bookpi.org/RUMCS-V1/article/view/13668