International Journal of Multidisciplinary Research and Growth Evaluation  |  ISSN (Online): 2582-7138  |  Double-Blind Peer Review  |  Open Access  |  CC BY 4.0

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     2026:7/3

International Journal of Multidisciplinary Research and Growth Evaluation

ISSN (Online): 2582-7138 | Open Access

Some Fixed-Point Theorems Using C-Class Function in New Abstract Spaces

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Volume: 6 | Issue: 1 | Pages: 407-415

Subject: Mathematics

Country: India

DOI: https://doi.org/10.54660/IJMRGE.2025.6.1.407-415

License: CC BY 4.0

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Abstract

In this paper, we discuss and extend some recent common fixed point results established by using φ−weakly contractive mappings. A very important step in the development of the fixed point theory was given by A.H. Ansari by the introduction of a C−class function. Using C−class functions, we generalize some known fixed point results. This type of functions is a very important class of functions which contains almost all known type contraction starting from 1922. year, respectively from famous Banach contraction principle. Three common fixed point theorems for four mappings are presented. The obtained results generalize several existing ones in literature .We finally propose three open problems.

How to Cite This Article

Sheeba Khan, Dr. Abha Tenguria (2025). Some Fixed-Point Theorems Using C-Class Function in New Abstract Spaces . International Journal of Multidisciplinary Research and Growth Evaluation (IJMRGE), 6(1), 407-415. DOI: https://doi.org/10.54660/IJMRGE.2025.6.1.407-415

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Publication Information

Journal: International Journal of Multidisciplinary Research and Growth Evaluation (IJMRGE)

Publisher: Anfo Publication House

ISSN: 2582-7138 (Online)

Frequency: Bimonthly

Language: English

Open Access: Yes - This article is distributed under the terms of the Creative Commons Attribution 4.0 International License

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