On Some Generalized Fixed Point Theorems in 2 – Metric Space
V. Srinivasa Kumar *
Department of Mathematics, JNTUH College of Engineering, JNTU, Kuakatpally, Hyderabad-500085, Telangana State, India.
B. Rami Reddy
Department of Mathematics, Hindu College, Guntur-522002, A.P, India.
T. V. L. Narayana
Department of Mathematics, RISE Krishna Sai Prakasam Group of Institutions, Ongole, Prakasam(dt), A.P, India.
*Author to whom correspondence should be addressed.
Abstract
In this paper, some fixed point theorems in 2-metric spaces are established. Some of the theorems are generalizations of fixed point theorems that were proved by Lal and Singh in 2-metric spaces.
Keywords: Fixed point, 2 – metric space, complete 2-metric space, contraction type mapping