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Article

Measure of Non-p-Convexity in p-Seminormed Spaces

1
Department of Mathematics, Faculty of Sciences & Arts, King Abdulaziz University, Rabigh 21911, Saudi Arabia
2
Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
*
Author to whom correspondence should be addressed.
Mathematics 2025, 13(23), 3807; https://doi.org/10.3390/math13233807
Submission received: 15 October 2025 / Revised: 17 November 2025 / Accepted: 24 November 2025 / Published: 27 November 2025
(This article belongs to the Section C: Mathematical Analysis)

Abstract

This paper discusses two measures of non-p-convexity and aims to develop them for applications in p-normed spaces. We also extend and generalize some important properties and well-known results.
Keywords: measures of noncompactness; p-normed space; φ-set-contraction; measure of non-p-convexity; diam-condensing operator measures of noncompactness; p-normed space; φ-set-contraction; measure of non-p-convexity; diam-condensing operator

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MDPI and ACS Style

Albeladi, G.; Shahzad, N. Measure of Non-p-Convexity in p-Seminormed Spaces. Mathematics 2025, 13, 3807. https://doi.org/10.3390/math13233807

AMA Style

Albeladi G, Shahzad N. Measure of Non-p-Convexity in p-Seminormed Spaces. Mathematics. 2025; 13(23):3807. https://doi.org/10.3390/math13233807

Chicago/Turabian Style

Albeladi, Ghadah, and Naseer Shahzad. 2025. "Measure of Non-p-Convexity in p-Seminormed Spaces" Mathematics 13, no. 23: 3807. https://doi.org/10.3390/math13233807

APA Style

Albeladi, G., & Shahzad, N. (2025). Measure of Non-p-Convexity in p-Seminormed Spaces. Mathematics, 13(23), 3807. https://doi.org/10.3390/math13233807

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