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 8492991
  • - Research Article

Computing the Narumi–Katayama Index and Modified Narumi–Katayama Index of Some Families of Dendrimers and Tetrathiafulvalene

Islam Goli Farkoush | Mehdi Alaeiyan | ... | Mohammad Maghasedi
  • Special Issue
  • - Volume 2021
  • - Article ID 5526801
  • - Research Article

Common Fixed Point Results on Generalized Weak Compatible Mapping in Quasi-Partial b-Metric Space

Pragati Gautam | Luis Manuel Sánchez Ruiz | ... | Gauri Gupta
  • Special Issue
  • - Volume 2021
  • - Article ID 2975339
  • - Research Article

Some Results on Generalized Pata–Suzuki Type Contractive Mappings

Merve Aktay | Murat Özdemir
  • Special Issue
  • - Volume 2021
  • - Article ID 5526413
  • - Research Article

On Some New Fixed Point Results with Applications to Matrix Difference Equations

Marwan Amin Kutbi | Jamshaid Ahmad | Muhammad Imran Shahzad
  • Special Issue
  • - Volume 2021
  • - Article ID 8447435
  • - Research Article

Some Fixed Point Theorems of Contractive Mappings in -Cone Metric Spaces over Banach Algebras

Abba Auwalu | Evren Hinçal
  • Special Issue
  • - Volume 2021
  • - Article ID 5510971
  • - Research Article

Solution of Fractional Differential Equations Utilizing Symmetric Contraction

Aftab Hussain
  • Special Issue
  • - Volume 2021
  • - Article ID 9992783
  • - Research Article

Some New Results of Interpolative Hardy–Rogers and Ćirić–Reich–Rus Type Contraction

Youssef Errai | El Miloudi Marhrani | Mohamed Aamri
  • Special Issue
  • - Volume 2021
  • - Article ID 6612448
  • - Research Article

Set-Valued SU-Type Fixed Point Theorems via Gauge Function with Applications

Amjad Ali | Monairah Alansari | ... | Ghada Ali Basendwah
  • Special Issue
  • - Volume 2021
  • - Article ID 5541362
  • - Research Article

Further Properties of 1- and 2-Dimensional U- and W-Convexity and Fixed Point of Nonexpansive Mappings in Banach Spaces and

Ji Gao
  • Special Issue
  • - Volume 2021
  • - Article ID 9994532
  • - Research Article

Integral Criteria for Weighted Bloch Functions

A. El-Sayed Ahmed | M. A. Bakhit
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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