Author(s)

Vishnu Narayan Mishra^1,2*, Balaji Raghunath Wadkar³, Ramakant Bhardwaj⁴, Idrees A. Khan⁵, Basant Singh³

¹Applied Mathematics & Humanities Department, S.V. National Institute of Technology, Gujarat, India.
²Department of Mathematics, Indira Gandhi National Tribal University, Madhya Pradesh, India.
³Department of Mathematics, AISECT University, Bhopal, India.
⁴Department of Mathematics, TIT Group of Institutes, Anand Nagar, India.
⁵Department of Mathematics, Integral University, Lucknow, India.

In the present paper, we prove two theorems. In first theorem, we prove fixed point result for self-maps in the metric space under contractive condition of integral type by altering distance. In second result, we prove a unique common fixed point theorem by considering four sub compatible maps under a contractive condition of integral type.

Altering Distance Function, Sub Compatible

Mishra, V. , Wadkar, B. , Bhardwaj, R. , Khan, I. and Singh, B. (2017) Common Fixed Point Theorems in Metric Space by Altering Distance Function. Advances in Pure Mathematics, 7, 335-344. doi: 10.4236/apm.2017.76020.