Abstract and Applied Analysis

Existence and Uniqueness of Fixed Point in Various Abstract Spaces and Related Applications


Status
Published

Lead Editor

1Department of Mathematics, Atilim University, İncek, Ankara, Turkey

2Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 824, Taiwan

3Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, Thailand

4Babes-Bolyai University Cluj-Napoca, Faculty of Mathematics and Computer Science, Cluj-Napoca, Romania

5Instituto Universitario de Matemática Puray Aplicada, Universitat Politècnica de València, Camí de Vera s/n, 46022 Valencia, Spain


Existence and Uniqueness of Fixed Point in Various Abstract Spaces and Related Applications

Description

It is indispensable that the fixed point theory in the metric space has a crucial role in nonlinear analysis and has wide application potential in almost all quantitive sciences. In the last fifty years, discussing the existence and uniqueness of a fixed point of single and multivalued operators in various spaces (quasimetric, symmetric, b-metric, and fuzzy metric spaces) has attracted the attention of several researchers of nonlinear analysis. The motivation behind this interest is the enormous potential applications of this theory to various braces of mathematics as well as the other quantitive sciences, such as engineering, chemistry, biology, economics, computer science, and other sciences.

This call is for the papers that are original, of good quality, and of current interest in theoretical and computational applications aspect of nonlinear functional analysis, convex analysis, fixed point theory, and their applications. Potential topics include, but are not limited to:

  • Quasimetric spaces and fixed point problems
  • Partial-metric spaces and fixed point problems
  • Fuzzy-metric spaces and fixed point problems
  • CAT(0)-spaces and fixed point theorems
  • Fixed point and Ulam-Hyres stability
  • Well-posedness of fixed point results
  • Iterative methods for the fixed points of the nonexpansive-type mappings or the nonexpansive semigroup
  • Fixed point methods for the variational inequalities and applications
  • Fixed point methods for the equilibrium problems and applications
  • Advances on multivalued fixed point theorems
  • Picard operators on various abstract spaces
  • Hybrid contraction mappings and related fixed point problems

Manuscripts submitted will be considered for publication with the understanding that the same work has not been published and is not under consideration for publication elsewhere.

Before submission authors should carefully read over the journal’s Author Guidelines, which are located at http://www.hindawi.com/journals/aaa/guidelines/. Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at http://mts.hindawi.com/submit/journals/aaa/exist/ according to the following timetable:


Articles

  • Special Issue
  • - Volume 2015
  • - Article ID 123984
  • - Editorial

Existence and Uniqueness of Fixed Point in Various Abstract Spaces and Related Applications

Erdal Karapınar | Wei-Shih Du | ... | Salvador Romaguera
  • Special Issue
  • - Volume 2015
  • - Article ID 728491
  • - Research Article

Monotone and Concave Positive Solutions to Three-Point Boundary Value Problems of Higher-Order Fractional Differential Equations

Wenyong Zhong | Lanfang Wang
  • Special Issue
  • - Volume 2015
  • - Article ID 768238
  • - Research Article

Fixed Point Theorems for Ćirić-Berinde Type Contractive Multivalued Mappings

Seong-Hoon Cho
  • Special Issue
  • - Volume 2015
  • - Article ID 361657
  • - Research Article

Best Proximity Points for Generalized Proximal Weak Contractions Satisfying Rational Expression on Ordered Metric Spaces

V. Pragadeeswarar | M. Marudai
  • Special Issue
  • - Volume 2015
  • - Article ID 718074
  • - Research Article

Fixed Points for Multivalued Mappings in -Metric Spaces

Mohamed Jleli | Bessem Samet | ... | Francesca Vetro
  • Special Issue
  • - Volume 2015
  • - Article ID 205452
  • - Research Article

New Existence Results for Fractional Integrodifferential Equations with Nonlocal Integral Boundary Conditions

Ahmed Alsaedi | Sotiris K. Ntouyas | Bashir Ahmad
  • Special Issue
  • - Volume 2015
  • - Article ID 412318
  • - Research Article

Strong Convergence for the Split Common Fixed-Point Problem for Total Quasi-Asymptotically Nonexpansive Mappings in Hilbert Space

Lawan Bulama Mohammed | A. Kılıçman
  • Special Issue
  • - Volume 2014
  • - Article ID 979170
  • - Research Article

A Note on Best Approximation in 0-Complete Partial Metric Spaces

Marta Demma | Mohamed Jleli | ... | Calogero Vetro
  • Special Issue
  • - Volume 2014
  • - Article ID 256032
  • - Research Article

Further Results on Uniqueness of Meromorphic Functions concerning Fixed Points

Xiao-Bin Zhang
  • Special Issue
  • - Volume 2014
  • - Article ID 309613
  • - Research Article

Some Notes on the Existence of Solution for Ordinary Differential Equations via Fixed Point Theory

Fei He
Abstract and Applied Analysis
 Journal metrics
Acceptance rate14%
Submission to final decision40 days
Acceptance to publication54 days
CiteScore1.300
Impact Factor-
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