Journal of Function Spaces

Fixed Point Theorems with Applications to the Solvability of Operator Equations and Inclusions on Function Spaces


Publishing date
01 May 2015
Status
Published
Submission deadline
12 Dec 2014

Lead Editor

1King Abdulaziz University, Jeddah, Saudi Arabia

2University of Valencia, Valencia, Spain

3Cadi Ayyad University, Marrakesh, Morocco

4Universita degli Studi di Palermo, Palermo, Italy


Fixed Point Theorems with Applications to the Solvability of Operator Equations and Inclusions on Function Spaces

Description

Fixed point theory is an interdisciplinary topic which provides insight and powerful tools for the solvability of central problems in many areas of current interest in mathematics as well as the other quantitative sciences, such as engineering, biology, economics, etc.

In fact, the existence and stability of solutions for linear and nonlinear problems are commonly translated into fixed point equivalent formulations, for example, the existence of solutions to elliptic partial differential equations, the existence of closed periodic orbits in dynamical systems, and, more recently, the existence of answer sets in logic programming. The objective of this special issue is to report the latest advancements in fixed point theory on abstract spaces (Banach spaces, locally convex spaces, 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 these equations is usually investigated in specific function spaces. The choice of the appropriate fixed point theorem and the use of specific properties of the underlying function space can have a significant impact on the solvability of these equations.

We aim to provide a platform for researchers to promote, share, and discuss various new issues and developments in this area.

Potential topics include, but are not limited to:

  • Fixed point theorems in Banach spaces (for the weak and the strong topology)
  • Fixed point theorems in Banach algebras
  • Fixed point theorems in locally convex spaces
  • Fixed point theorems in function spaces
  • Operator equations in function spaces
  • Operator inclusions in function spaces
  • Evolution equations in function spaces
  • Stochastic equations in function spaces

Articles

  • Special Issue
  • - Volume 2015
  • - Article ID 415950
  • - Editorial

Fixed Point Theorems with Applications to the Solvability of Operator Equations and Inclusions on Function Spaces

Nawab Hussain | Jesus Garcia-Falset | ... | Calogero Vetro
  • Special Issue
  • - Volume 2015
  • - Article ID 468536
  • - Research Article

A Lyapunov-Type Inequality for a Fractional Differential Equation under a Robin Boundary Condition

Mohamed Jleli | Lakhdar Ragoub | Bessem Samet
  • Special Issue
  • - Volume 2015
  • - Article ID 980352
  • - Research Article

Hybrid Steepest-Descent Methods for Triple Hierarchical Variational Inequalities

L. C. Ceng | A. Latif | ... | A. E. Al-Mazrooei
  • Special Issue
  • - Volume 2015
  • - Article ID 491423
  • - Research Article

Two Positive Solutions of Third-Order BVP with Integral Boundary Condition and Sign-Changing Green's Function

Bing-Wei Niu | Jian-Ping Sun | Qiu-Yan Ren
  • Special Issue
  • - Volume 2015
  • - Article ID 905834
  • - Research Article

On a New Faster Implicit Fixed Point Iterative Scheme in Convex Metric Spaces

Renu Chugh | Preety Malik | Vivek Kumar
  • Special Issue
  • - Volume 2015
  • - Article ID 350840
  • - Research Article

Common Fixed Point of Two -Weakly Commuting Mappings in -Metric Spaces

Poom Kumam | Wutiphol Sintunavarat | ... | Nabi Shobkolaei
  • Special Issue
  • - Volume 2015
  • - Article ID 413850
  • - Research Article

Some Generalized Difference Sequence Spaces Defined by a Sequence of Moduli in -Normed Spaces

Abdullah Alotaibi | Kuldip Raj | S. A. Mohiuddine
  • Special Issue
  • - Volume 2015
  • - Article ID 954925
  • - Research Article

Boundary Value Problems of Fractional Order Differential Equation with Integral Boundary Conditions and Not Instantaneous Impulses

Peiluan Li | Changjin Xu
  • Special Issue
  • - Volume 2015
  • - Article ID 764187
  • - Research Article

Upper Semicontinuity of Solution Mappings to Parametric Generalized Vector Quasiequilibrium Problems

Shu-qiang Shan | Yu Han | Nan-jing Huang
  • Special Issue
  • - Volume 2015
  • - Article ID 928105
  • - Research Article

Existence of Positive Solutions for a Fourth-Order -Point Boundary Value Problem

Liu Yang | Chunfang Shen
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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