Some Fixed Point Results in Ordered S-metric Spaces
Sukh Raj Singh *
Department of Mathematics, J H Government Post Graduate College, Betul, 460001, India.
Manoj Ughade
Department of Mathematics, Sarvepalli Radhakrishnan University, Bhopal, 462026, India.
R. D. Daheriya
Department of Mathematics, J H Government Post Graduate College, Betul, 460001, India.
*Author to whom correspondence should be addressed.
Abstract
The aim of this paper is to present some fixed point theorems for non-decreasing map involving rational expression in the framework of S-metric spaces endowed with a partial order using a class of pairs of functions satisfying certain assumptions. Our results generalize and extend some known results on metric spaces to S-metric spaces, which appeared in [1-4]. We give examples to demonstrate the validity of the results.
Keywords: Fixed point, S-metric space, contractions, partially ordered set, altering distance function