Numerical Analysis and Applied Mathematics, 2nd Edition

A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Analysis".

Deadline for manuscript submissions: 30 July 2026 | Viewed by 1090

Special Issue Editor


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Guest Editor
Faculty of Physics and Technology, University of Plovdiv Paisii Hilendarski, 24 Tzar Asen, 4000 Plovdiv, Bulgaria
Interests: iterative methods; numerical algorithms; convergence analysis; polynomial zeros; phase transitions
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Special Issue Information

Dear Colleagues,

Numerical analysis and applied mathematics are essential in many areas of modern life. The current growth of computer technologies further impels the fast development of numerical analysis, which, in turn, finds increasing application in applied mathematics, with a strong influence on numerous branches of natural sciences, engineering, finance, and industry.

The aim of this Special Issue is to provide an advanced forum for high-value scientific studies in numerical analysis and applied mathematics. In particular, works dedicated to the construction, analysis, real-world application, and computer implementation of original numerical algorithms are especially welcome.

A limited number of expository and survey articles on the topic will also be considered for publication.

Dr. Stoil I. Ivanov
Guest Editor

Manuscript Submission Information

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Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Axioms is an international peer-reviewed open access monthly journal published by MDPI.

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Keywords

  • numerical algorithms
  • iterative methods
  • convergence analysis
  • numerical stability
  • computational efficiency
  • error analysis
  • operator equations
  • dynamical systems
  • real-world applications

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Related Special Issue

Published Papers (2 papers)

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Research

10 pages, 245 KB  
Article
A Common Fixed Point Theorem for Vicinal Mappings on Geodesic Spaces
by Takuto Kajimura and Yasunori Kimura
Axioms 2026, 15(4), 276; https://doi.org/10.3390/axioms15040276 - 10 Apr 2026
Viewed by 252
Abstract
In 2024, Kimura proposed the modified shrinking method without assuming the existence of a common fixed point for a family of nonexpansive mappings defined on a complete geodesic space with a nonpositive upper curvature bound. In this paper, we discuss this method for [...] Read more.
In 2024, Kimura proposed the modified shrinking method without assuming the existence of a common fixed point for a family of nonexpansive mappings defined on a complete geodesic space with a nonpositive upper curvature bound. In this paper, we discuss this method for vicinal mappings in an admissible complete geodesic space whose upper curvature bound is an arbitrary real number. Moreover, we investigate the convex minimization problem by using the main result and a resolvent for convex functions. Full article
(This article belongs to the Special Issue Numerical Analysis and Applied Mathematics, 2nd Edition)
17 pages, 327 KB  
Article
Fixed Point Approximation of Generalized α-Non-Expansive Multi-Valued Mapping in Convex Metric Space
by Tanveer Hussain, Vasile Berinde and Abdul Rahim Khan
Axioms 2026, 15(3), 188; https://doi.org/10.3390/axioms15030188 - 4 Mar 2026
Viewed by 312
Abstract
In this paper, we present approximation results for a generalized α-non-expansive multi-valued mapping using a four-step iteration scheme introduced in the context of a convex metric space. We extend some recent results about generalized α-non-expansive multi-valued mappings from the Banach space [...] Read more.
In this paper, we present approximation results for a generalized α-non-expansive multi-valued mapping using a four-step iteration scheme introduced in the context of a convex metric space. We extend some recent results about generalized α-non-expansive multi-valued mappings from the Banach space setting to a convex metric space. Two examples of generalized α-non-expansive multi-valued mappings are presented, and it is numerically shown that our iteration scheme enables faster convergence than other well-known schemes in the literature. To demonstrate the application of one of our results, we provide the solution of a non-linear integral equation. Full article
(This article belongs to the Special Issue Numerical Analysis and Applied Mathematics, 2nd Edition)
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