Journal of Function Spaces

Nonlinear Operators in Fixed Point Theory with Applications to Fractional Differential and Integral Equations


Status
Published

Lead Editor

1University of Jeddah, Jeddah, Saudi Arabia

2United Arab Emirates University, Al-Ain, UAE

3Islamic Azad University, Gilan-e Gharb, Iran

4University of the Basque Country, Biscay, Spain


Nonlinear Operators in Fixed Point Theory with Applications to Fractional Differential and Integral Equations

Description

Fixed point theory is a beneficial resource for the research and study of nonlinear analysis, optimization theory, and variational inequalities. In the last few decades, the problem of nonlinear analysis with its relation to fixed point theory has emerged as a rapidly growing area of research because of its applications in game theory, optimization problem, control theory, integral and differential equations and inclusions, dynamic systems theory, signal and image processing, and so on. On the other hand, one of interesting properties of Banach spaces is fixed point property (FPP) and weak fixed point property (WFPP). Hilbert spaces, uniformly convex Banach spaces, or, more generally, reflexive Banach spaces with normal structure have the FPP.

Due to the importance of fixed point theory and its applications and the geometrical properties FPP and WFPP, it is worthwhile to publish a special issue on this topic to highlight recent advances made by mathematicians actively working in this area.

The purpose of this special issue is to promote research in the field of fixed point theory with applications to fractional differential and integral equations. This special issue will focus on fixed point theorems concerning generalized contractions and will accept good quality papers containing original research results with exceptional merit.

Potential topics include but are not limited to the following:

  • Fixed point theory and its applications
  • Engineering applications of fixed point theory
  • Mathematical modeling via fixed point theory approaches
  • Convergence of iterative approximations and applications
  • Coincidence point theory and applications
  • Fractional differential and integral equations
  • Operator equations and inclusion problems
  • Open problems related to FPP

Articles

  • Special Issue
  • - Volume 2018
  • - Article ID 7327354
  • - Editorial

Nonlinear Operators in Fixed Point Theory with Applications to Fractional Differential and Integral Equations

Jamshaid Ahmad | Ahmad Saleh Al-Rawashdeh | ... | Manuel De la Sen
  • Special Issue
  • - Volume 2018
  • - Article ID 2740678
  • - Research Article

Generalized Euler-Lagrange Equations for Fuzzy Fractional Variational Problems under gH-Atangana-Baleanu Differentiability

Jianke Zhang | Gaofeng Wang | ... | Chang Zhou
  • Special Issue
  • - Volume 2018
  • - Article ID 9063267
  • - Research Article

Common Coupled Fixed Point Theorem for Geraghty-Type Contraction in Partially Ordered Metric Spaces

Xiao-lan Liu | Mi Zhou | Boško Damjanović
  • Special Issue
  • - Volume 2018
  • - Article ID 4808764
  • - Research Article

Multivalued Fixed Point Results for New Generalized -Dominated Contractive Mappings on Dislocated Metric Space with Application

Tahair Rasham | Abdullah Shoaib | ... | Muhammad Arshad
  • Special Issue
  • - Volume 2017
  • - Article ID 9389768
  • - Research Article

Common Fixed Points of Four Maps Satisfying -Contraction on -Metric Spaces

Muhammad Nazam | Ma Zhenhua | ... | Muhammad Arshad
  • Special Issue
  • - Volume 2017
  • - Article ID 5054603
  • - Research Article

Fixed Point Results for Weak φ-Contractions in Cone Metric Spaces over Banach Algebras and Applications

Biwen Li | Huaping Huang
  • Special Issue
  • - Volume 2017
  • - Article ID 1649864
  • - Research Article

Existence Results for Integral Equations and Boundary Value Problems via Fixed Point Theorems for Generalized -Contractions in -Metric-Like Spaces

Vishal Joshi | Deepak Singh | Adrian Petruşel
  • Special Issue
  • - Volume 2017
  • - Article ID 1465623
  • - Research Article

Solvability of Some Two-Point Fractional Boundary Value Problems under Barrier Strip Conditions

Limei He | Xiaoyu Dong | ... | Bo Chen
Journal of Function Spaces
 Journal metrics
Acceptance rate28%
Submission to final decision43 days
Acceptance to publication37 days
CiteScore2.000
Impact Factor1.896
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