Journal of Mathematics

Recent Advances in Fixed Point Theory in Abstract Spaces


Publishing date
01 Dec 2021
Status
Closed
Submission deadline
30 Jul 2021

Lead Editor

1Muş Alparslan University, Mus, Turkey

2University of Management and Technology, Lahore, Pakistan

3University of Banja Luka, Banja Luka, Bosnia and Herzegovina

This issue is now closed for submissions.
More articles will be published in the near future.

Recent Advances in Fixed Point Theory in Abstract Spaces

This issue is now closed for submissions.
More articles will be published in the near future.

Description

Fixed Point Theory is an integrative theory that provides discernment and significant tools for the solution of certain problems in several areas of interest in mathematics as well as other disciplines, such as biology, engineering, physics, computer sciences, data sciences, economics, etc.

The existence and uniqueness of solutions for linear and nonlinear problems is commonly denoted as the fixed point problems Tx=x, where T is self-operator in an abstract space X such as the existence and uniqueness of solutions to elliptic partial differential equations, and more recently the existence of answer sets in logic programming. The situation gets more complicated when self-operators are replaced with nonself-operators T:A → B, where A and B are nonempty and disjoint subsets of X, it is clear that no fixed point will exist for nonself-operators. In this situation, the concept and importance of Approximate Fixed Point are highlighted.

The objective of this Special Issue is to highlight advancements in fixed point and approximate fixed point theory in abstract spaces (Banach spaces, locally convex spaces, metric spaces, fuzzy metric spaces, etc.) and their applications to the solvability of nonlinear operator equations, which include ordinary differential equations, partial differential equations, functional differential equations, integral equations, integrodifferential equations, fractional differential equations, difference equations, etc. The solvability of those equations is usually investigated in specific function spaces. The choice of the appropriate fixed point theorem and the use the specific properties of the underlying function space can have a big impact on the solvability of those equations. Original research and review articles are welcome.

Potential topics include but are not limited to the following:

  • Fixed point and approximate fixed point theorems in Banach spaces (for the weak and the strong topology)
  • Fixed point and approximate fixed point theorems in Banach algebras
  • Fixed point and approximate fixed point theorems in locally convex spaces
  • Fixed point and approximate fixed point theorems in function spaces
  • Fixed point and approximate fixed point theorems in fuzzy metric spaces
  • Operator equations in function spaces
  • Operator inclusions in function spaces
  • Evolution equations in function spaces
  • Stability of functional equations related to fixed point theory
  • Nonlinear operator theory and applications

Articles

  • Special Issue
  • - Volume 2021
  • - Article ID 5578527
  • - Research Article

A Criterion for the Existence of the Unique Periodic Solution of One-Dimensional Periodic Differential Equation

Ni  Hua
  • Special Issue
  • - Volume 2021
  • - Article ID 6648993
  • - Research Article

Common Fixed Point Theorems via Inverse Class Functions in Metric Spaces

Mi Zhou | Xiao-Lan Liu | ... | Jia Deng
  • Special Issue
  • - Volume 2021
  • - Article ID 5575512
  • - Research Article

New Results in Controlled Metric Type Spaces

Muhib Abuloha | Doaa Rizk | ... | Thabet Abdeljawad
  • Special Issue
  • - Volume 2021
  • - Article ID 5518647
  • - Research Article

Data Dependence, Strict Fixed Point Results, and Well-Posedness of Multivalued Weakly Picard Operators

Azhar Hussain | Ahsan Ali | ... | Hassen Aydi
  • Special Issue
  • - Volume 2021
  • - Article ID 6661045
  • - Research Article

On Generalized Rational Geraghty Contraction Mappings in Metric Spaces

N. Priyobarta | Bulbul Khomdram | ... | Naeem Saleem
  • Special Issue
  • - Volume 2021
  • - Article ID 5564248
  • - Research Article

Recent Fixed-Point Results for Contraction Mappings in Rectangular Metric Spaces with Supportive Application

Mustafa Mudhesh | Hasanen A. Hammad | ... | Eskandar Ameer
  • Special Issue
  • - Volume 2021
  • - Article ID 6685638
  • - Research Article

Interpolative Kannan Contractions in -Quasi-Metric Spaces

Yaé Ulrich Gaba | Maggie Aphane | Hassen Aydi
  • Special Issue
  • - Volume 2021
  • - Article ID 6697739
  • - Research Article

Remarks on -Admissible Mappings and Fixed Points under -Contraction Mappings

Bulbul Khomdram | N. Priyobarta | ... | Thounaojam Indubala
  • Special Issue
  • - Volume 2021
  • - Article ID 6680381
  • - Research Article

Common Fixed-Point Theorems of Generalized Weakly Contractive Mappings in Metric-Like Spaces and Application

Hongyan Guan | Jianju Li
  • Special Issue
  • - Volume 2021
  • - Article ID 6670176
  • - Research Article

Existence and Uniqueness Results for Two-Term Nonlinear Fractional Differential Equations via a Fixed Point Technique

H. R. Marasi | H. Aydi
Journal of Mathematics
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Acceptance rate22%
Submission to final decision43 days
Acceptance to publication32 days
CiteScore0.500
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Impact Factor0.971
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Article of the Year Award: Outstanding research contributions of 2020, as selected by our Chief Editors. Read the winning articles.