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Fixed Point Theorems In Ordered Partial b-Metric Spaces With New Setting (1803.06662v2)
Published 18 Mar 2018 in math.FA
Abstract: The main purpose of this paper is to find the fixed point in such cases where existing literature remain silent. In this paper we introduce partial completeness, a new type of contraction and many other definitions. Using this approach the existence of fixed point can be proved in incomplete metric spaces with non-contraction map on it. We have reported an example in support our result.
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