Fixed Point Theorems in Partial b-Metric Spaces Using Contractive Conditions
Pawan Kumar *
Department of Mathematics, Maitreyi College, University of Delhi, Chanakyapuri, New Delhi-110021, India.
Z. K. Ansari
Department of Applied Mathematics, JSS Academy of Technical Education, C-20/1, Sector 62, Noida-201301. U.P., India.
Arun Garg
Department of Mathematics, NIET, NIMS University, Jaipur, Rajasthan, India.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we prove a fixed point theorem in the framework of complete partial b-metric space. Inspiring from Suzuki and Piri-Afshari. The article also includes an example which shows the validity of our result.
Keywords: Fixed point, b-metric space, partial metric space, partial b- metric space and contraction.