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

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Guest Editors

Wei-Shih Du² | Poom Kumam³ | Adrian Petrusel⁴ | Salvador Romaguera⁵

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

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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.

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