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 7302292
  • - Research Article

Lacunary -Invariant Convergence of Sequence of Sets in Intuitionistic Fuzzy Metric Spaces

Mualla Birgül Huban
  • Special Issue
  • - Volume 2021
  • - Article ID 1566348
  • - Research Article

Some -Fuzzy Cone Contraction Results with Integral Type Application

Saif Ur Rehman | Shamoona Jabeen | ... | Mohammed M. M. Jaradat
  • Special Issue
  • - Volume 2021
  • - Article ID 6897038
  • - Research Article

Some New Observations on Wijsman -Lacunary Statistical Convergence of Double Set Sequences in Intuitionistic Fuzzy Metric Spaces

Ömer Kişi
  • Special Issue
  • - Volume 2021
  • - Article ID 3886659
  • - Research Article

Existence of Best Proximity Point with an Application to Nonlinear Integral Equations

Shagun Sharma | Sumit Chandok
  • Special Issue
  • - Volume 2021
  • - Article ID 7915448
  • - Research Article

Generalised Presic Type Operators in Modular Metric Space and an Application to Integral Equations of Caratheodory Type Functions

Fahad Sameer Alshammari | K. P. Reshma | ... | Reny George
  • Special Issue
  • - Volume 2021
  • - Article ID 8246173
  • - Research Article

Convergence Classes of -Filters in -Fuzzy Topological Spaces

Ting Yang | Sheng-Gang Li | ... | Ahmed Mostafa Khalil
  • Special Issue
  • - Volume 2021
  • - Article ID 7549981
  • - Research Article

Generalized Reich–Ćirić–Rus-Type and Kannan-Type Contractions in Cone -Metric Spaces over Banach Algebras

Yan Han | Shaoyuan Xu
  • Special Issue
  • - Volume 2021
  • - Article ID 7483508
  • - Research Article

Computing SS Index of Certain Dendrimers

Weidong Zhao | M.C. Shanmukha | ... | K.C. Shilpa
  • Special Issue
  • - Volume 2021
  • - Article ID 9196642
  • - Research Article

On Some Fixed Point Results in Fuzzy Metric Spaces

Rachid Mecheraoui | Zoran D. Mitrović | ... | Naeem Saleem
  • Special Issue
  • - Volume 2021
  • - Article ID 4041290
  • - Research Article

Exact Values of Zagreb Indices for Generalized T-Sum Networks with Lexicographic Product

Jia-Bao Liu | Sana Akram | ... | Zhi-Ba Peng
Journal of Mathematics
 Journal metrics
Acceptance rate22%
Submission to final decision43 days
Acceptance to publication32 days
CiteScore0.500
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Impact Factor0.971
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