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CYCLIC CONTRACTIONS IN µ-COMPLETE PARTIAL CONE METRIC SPACES AND FIXED POINT THEOREMS

Satish Shukla

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Abstract

In this paper, we introduce the generalized cyclic contractions on µ- complete partial cone metric spaces and prove a fixed point result in such spaces without assuming the normality of cone. Our result generalizes some known re- sults from metric and cone metric spaces in µ-complete cone metric spaces. For illustration examples are provided.

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What this paper is about

In this paper, we introduce the generalized cyclic contractions on µ- complete partial cone metric spaces and prove a fixed point result in such spaces without assuming the normality of cone. Our result generalizes some known re- sults from metric and cone metric spaces in µ-complete cone metric spaces. For illustration examples are provided.

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Available abstract

In this paper, we introduce the generalized cyclic contractions on µ- complete partial cone metric spaces and prove a fixed point result in such spaces without assuming the normality of cone. Our result generalizes some known re- sults from metric and cone metric spaces in µ-complete cone metric spaces. For illustration examples are provided.

Key concepts: Mathematics, Metric space, Dual cone and polar cone, Convex metric space, Injective metric space, Cone (formal languages), Metric map, Intrinsic metric

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