New φ-fixed point results in metric spaces and well-posedness property

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Published: Sep 30, 2026
Keywords:
𝛼-admissible mapping 𝜑-fixed point Metric space Well-posedness property

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Binayak S. Choudhury
Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur 711103, India, Department of Mathematics and Applied Mathematics, University of Johannesburg, Auckland Park 2006, South Africa
Ranajit Jyoti
1Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur 711103, India
Nikhilesh Metiya
Department of Mathematics, Sovarani Memorial College, Jagatballavpur 711408, India
Sunirmal Kundu
Department of Mathematics, Government General Degree College, Paschim Medinipur 721516, India
Animesh Upadhyay
Department of BSHU (Mathematics), Asansol Engineering College, Asansol 713305, India

Abstract

In this paper, we introduce two new φ-fixed point problems in the setting of complete metric spaces using α-admissible mappings. The motivation of the work is derived from the efforts for combining several trends of research in fixed point theory to create new results. Existence and uniqueness results are established under appropriate conditions. The main results are supported by two separate illustrative examples. The well-posedness property of the proposed problems are investigated. One of the theorems is effectively applied to study the solvability of a problem involving functional equations.

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How to Cite
Binayak S. Choudhury, , R. J., Nikhilesh Metiya, Sunirmal Kundu, & Animesh Upadhyay. (2026). New φ-fixed point results in metric spaces and well-posedness property. Science & Technology Asia, 31(3), 42–58. retrieved from https://ph02.tci-thaijo.org/index.php/SciTechAsia/article/view/265529
Issue
Vol.31 No.3 (July-September 2026)
Section
Physical sciences
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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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