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2023 | OriginalPaper | Chapter

A Study of \(\acute{C}iri\acute{c}\) Type Generalized Contraction Via \(\mathcal {B}\)-Contraction with Application

Authors : Vizender Singh, Bijender Singh

Published in: Frontiers in Industrial and Applied Mathematics

Publisher: Springer Nature Singapore

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Abstract

This chapter delves into the advanced topic of fixed point theory, specifically focusing on the recently introduced concept of type generalized -contraction. It begins with a historical overview of fixed point theory, highlighting its significance and applications across various disciplines. The main results of the chapter include the introduction of type generalized -contraction for single and pair of maps, along with theorems demonstrating their unique fixed points, coincidence points, and common fixed points. The chapter also presents examples to illustrate the practicality of these new concepts. Furthermore, it applies these theoretical findings to solve integral equations, providing a unique perspective on the application of fixed point theory in mathematical analysis.
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previous chapter Separation Axioms in Bipolar Fuzzy Topological Spaces
next chapter Evolution of Weak Discontinuities in Perfectly Conducting Mixture of Gas and Dust Particles
Literature
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Metadata
Title
A Study of Type Generalized Contraction Via -Contraction with Application
Authors
Vizender Singh
Bijender Singh
Copyright Year
2023
Publisher
Springer Nature Singapore
Book
Frontiers in Industrial and Applied Mathematics

Print ISBN: 978-981-19-7271-3

Electronic ISBN: 978-981-19-7272-0

Copyright Year: 2023

DOI
https://doi.org/10.1007/978-981-19-7272-0_42

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