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Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

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Published on: August 30, 2013

Partial rectangular metric spaces and fixed point theorems.

Satish Shukla¹

¹Department of Applied Mathematics, Shri Vaishnav Institute of Technology & Science Gram Baroli, Sanwer Road, Indore 453331, India.

Thescientificworldjournal

|March 28, 2014

Summary

This summary is machine-generated.

This study introduces partial rectangular metric spaces, a novel generalization of existing metric spaces. Fixed point theorems for quasitype contractions are established within these new spaces.

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Area of Science:

Mathematics
Topology
Metric Spaces

Background:

Existing research in metric spaces includes partial metric spaces and rectangular metric spaces.
Generalizations of these spaces are valuable for expanding theoretical frameworks.

Purpose of the Study:

Introduce and define partial rectangular metric spaces.
Generalize existing concepts in metric space theory.
Explore the properties of these new spaces.

Main Methods:

Definition of partial rectangular metric spaces.
Investigation of fundamental properties.
Application of fixed point theory, specifically for quasitype contractions.

Main Results:

Established properties of partial rectangular metric spaces.
Proved fixed point results for quasitype contractions within these spaces.
Provided illustrative examples to validate the theoretical findings.

Conclusions:

Partial rectangular metric spaces offer a new framework for mathematical analysis.
The established fixed point results contribute to the understanding of contractive mappings in generalized metric spaces.