SOME FIXED POINT THEOREMS FOR ORDERED CONTRACTIONS IN PARTIAL B-METRIC SPACES

Year 2017, Volume: 30 Issue: 1, 345 - 354, 14.03.2017

Satish Shukla

Abstract

In this paper, some fixed point theorems in a partial b-metric space endowed with a partial order are proved. The results of this paper generalize and extend the Banach contraction principle and some other known results in partial b-metric spaces endowed with a partial order. Some examples are given which illustrate the cases when new results can be applied while old ones cannot.

Keywords

Partial order , partial b-metric space; b-metric space; contraction; fixed point.

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