Fixed Point Theory: Theory, Computation and Applications
This thematic series is devoted to the latest achievements in fixed point theory, computation and applications. It will reflect both state-of-the-art abstract research as well as important recent advances in computation and applications.
One of the most dynamic area of research of the last 50 years, fixed point theory plays a fundamental role in several theoretical and applied areas, such as nonlinear analysis, integral and differential equations and inclusions, dynamic systems theory, mathematics of fractals, mathematical economics (game theory, equilibrium problems, optimization problems) and mathematical modeling. This thematic series will present relevant works related to the theory of fixed points and its various applications to pure, applied and computational mathematics. Special attention will be paid to the most important theories developed by Professor Ioan A. Rus and the Cluj-Napoca Fixed Point Theory School: the Picard operator theory, the fixed point structure theory and other aspects of fixed point theory.
Edited by: Vasile Berinde (Universitatea de Nord din Baia Mare, Romania), Adrian Petrusel (Babeș-Bolyai University Cluj-Napoca, Romania) and Radu Precup (Babeș-Bolyai University Cluj-Napoca)
Dislocated cone metric space over Banach algebra and α -quasi contraction mappings of Perov type
A dislocated cone metric space over Banach algebra is introduced as a generalisation of a cone metric space over Banach algebra as well as a dislocated metric space. Fixed point theorems for Perov-type α -quasi co...
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On some fixed point theorems in generalized metric spaces
In this paper, we obtain some generalizations of fixed point results for Kannan, Chatterjea and Hardy-Rogers contraction mappings in a new class of generalized metric spaces introduced recently by Jleli and Sa...
Rectangular cone b-metric spaces over Banach algebra and contraction principle
Rectangular cone b-metric spaces over a Banach algebra are introduced as a generalization of metric space and many of its generalizations. Some fixed point theorems are proved in this space and proper examples...
Best proximity points for proximal contractive type mappings with C -class functions in S -metric spaces
In this paper, we use the concept of C -class functions to establish the best proximity point results for a certain class of proximal contractive mappings in S -metric spaces. Our results extend and improve some kn...
Fixed point theorems for F -expanding mappings
Recently, Wardowski (Fixed Point Theory Appl. 2012:94, 2012 ) introduced a new concept of F -contraction and proved a fixed point theorem which generalizes the Banach contraction principle. Following this direction...
F -cone metric spaces over Banach algebra
Pseudo-metric space and fixed point theorem.
The aim of this paper is to give a generalized version of Caristi fixed point theorems in pseudo-metric spaces. Our results generalize and improve many of well-known theorems. As an application of our results,...
Strong and weak convergence theorems for split equality generalized mixed equilibrium problem
In this paper, we consider split equality generalized mixed equilibrium problem, which is more general than many problems such as split feasibility problem, split equality problem, split equilibrium problem, a...
Random fixed point theorems in partially ordered metric spaces
We present the random version in partially ordered metric spaces of the classical Banach contraction principle and some of its generalizations to ordered metric spaces.
Contributions to the fixed point theory of diagonal operators
In this paper, we introduce the notion of diagonal operator, we present the historical roots of diagonal operators and we give some fixed point theorems for this class of operators. Our approaches are based on...
On multiplicative metric spaces: survey
The purpose of this survey is to prove that the fixed point results for various multiplicative contractions are in fact equivalent to the corresponding fixed point results in (standard) metric spaces. For exam...
Leray-Schauder-type fixed point theorems in Banach algebras and application to quadratic integral equations
In this paper, we present new fixed point theorems in Banach algebras relative to the weak topology. Our fixed point results are obtained under Leray-Schauder-type boundary conditions. These results improve an...
Common fixed points of G -nonexpansive mappings on Banach spaces with a graph
Periodic and fixed points of the leader-type contractions in quasi-triangular spaces, a new iterative scheme for numerical reckoning fixed points of total asymptotically nonexpansive mappings, some fixed point results via r -functions.
We establish existence and uniqueness of fixed points for a new class of mappings, by using R -functions and lower semi-continuous functions in the setting of metric spaces. As consequences of this results, we obt...
Line search fixed point algorithms based on nonlinear conjugate gradient directions: application to constrained smooth convex optimization
This paper considers the fixed point problem for a nonexpansive mapping on a real Hilbert space and proposes novel line search fixed point algorithms to accelerate the search. The termination conditions for th...
A note on recent cyclic fixed point results in dislocated quasi- b -metric spaces
The purpose of this paper is to establish some fixed point results for cyclic contractions in the setting of dislocated quasi- b -metric spaces. We verify that some previous cyclic contraction results in dislocated...
Fixed point results in \(C^{*}\) -algebra-valued metric spaces are direct consequences of their standard metric counterparts
A note on the paper ‘fixed point theorems for cyclic weak contractions in compact metric spaces’.
We show that the result on cyclic weak contractions of Harjani et al. (J. Nonlinear Sci. Appl. 6:279-284, 2013 ) holds without the assumption of compactness of the underlying space, and also without the assumption...
Fixed Point Theorems and Applications
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Fixed Point Theory
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A special issue of Mathematics (ISSN 2227-7390).
Deadline for manuscript submissions: closed (30 April 2018) | Viewed by 31938
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This thematic series is devoted to publishing the latest and most significant research on Fixed Point Theory including its wide range of applications. Its goals are to stimulate further research and to highlight and emphasize the most recent advances in the field as well as to promote, encourage, and bring together researchers in Fixed point ...
Fixed point theory is a hot area of research. It has many applications in diverse fields ranging from different branches of mathematics to engineering, and from economics to biology. For example, optimization problems including minimization problems, variational inequality problems, equilibrium problems, and variational inclusion problems ...
The metric fixed point theorem is based on the Banach contracti on principle, which was introduced in 1922. and has affected m any aspects of nonlinear functional analysis. The m ethod is based on ...
View a PDF of the paper titled Fixed Point Theory: A Review, by Firuz Kamalov and 1 other authors. Fixed points represent equilibrium states, stability, and solutions to a range of problems. It has been an active field of research. In this paper, we provide an overview of the main branches of fixed point theory.
The level of exposition is directed to a wide audience, including students and established researchers. Key topics covered include Banach contraction theorem, hyperconvex metric spaces, modular ...
Fixed points represent equilibrium states, stability, and solutions to a range of problems. It has been an active field of research. In this paper, we provide an overview of the main branches of fixed point theory. We discuss the key results and applications. 1. Introduction Fixed point theory is a mathematical discipline that studies the ...
Based on the null set, the concepts of metric interval space and normed interval space are proposed, which are not the conventional metric and normed spaces. The concept of near fixed point is also defined based on the null set. In this case, we shall establish many types of near fixed point theorems in the metric and normed interval spaces.
This thematic series is devoted to the latest achievements in fixed point theory, computation and applications. It will reflect both state-of-the-art. abstract research as well as important recent advances in computation and applications. One of the most dynamic area of research of the last 50 years, fixed point theory plays a fundamental role ...
Among the themes of fixed-point theory, the topic of approximation of fixed points of mappings is particularly important because it is useful for proving the existence of fixed points of mappings. It can be applied to prove the solvability of optimization problems, differential equations, variational inequalities, and equilibrium problems ...
Journal of Fixed Point Theory and Applications (JFPTA) provides a publication forum for research in all disciplines of mathematics in which tools of fixed point theory play an essential role. Welcomes papers on new fixed point theorems and on novel applications of fixed point theory. Open to any topic related to fixed point theory, as well as ...
Since 1909, when Luitzen Brouwer proved the first fixed point theorem named after him, fixed point theory has played very important roles in many different fields. We can find a lot of demonstrations in optimization theory, approximation theory, differential equations, variational inequalities, complementary problems, equilibrium theory, game ...
Dear Colleagues, Since the celebrated Brouwer's fixed point theorem and Banach contraction principle were established, the rapid growth of fixed point theory and its applications during the past more than a hundred years have led to a number of scholarly essays that study the importance of its promotion and application in nonlinear analysis, applied mathematical analysis, economics, game ...
Over the last 60 years or so, the theory of fixed points has been revealed as a very powerful and important tool in the study of nonlinear phenomena. In particular, fixed point techniques have been applied in such diverse fields as biology, chemistry, physics, engineering, game theory and economics. In numerous cases finding the exact solution ...
About this book. The aim of this monograph is to give a unified account of the classical topics in fixed point theory that lie on the border-line of topology and non linear functional analysis, emphasizing developments related to the Leray Schauder theory. Using for the most part geometric methods, our study cen ters around formulating ...
Fixed point theory is a very natural and well developed but still a young domain of mathematical research which falls within several domains such as: Functional
Abstract: ABSTRACT: Fixed point theory be one of the advanced topics in both pure and applied mathematics, it also has seen great interest since recent decades, because it is considered an essential tool for nonlinear analysis and many other branches of modern mathematics. In particular, when we deal with the solvability of a certain functional ...
the fixed point theory. This paper also debates if the results of the fixed point theory can be applied to the mathematical modelling of quality. K. EYWORDS: Fixed point theory; game theory; applications; quality management . 1. Introduction . The scientific basis of the fixed point theory was established in the 20th century.
1.2 Fixed Point Property 1.3 Banach Contraction Principle and its Generalizations 1.4 Common Fixed Point 1.5 Asymptotically Regular Sequences and Maps 1.6 Non-expansive Mappings 1.7 Weak Commutativity CERTAIN FIXED POINT THEOREMS IN METRIC SPACES 2.1 Introduction 1 3 3 7 9 10 11 13 - 33 13 CHAPTER-III 2.2 Fixed Point Theorems of Mappings
Abstract. In this survey paper, we collected the developmental history of fixed point theory. Some important results from beginning up to now are incorporated in this paper. 1 Introduction. The ...
TAMILNADU - INDIA. November - 2020. sTitle: Studies on Fixed Point Theorems in Various Type of Metric SpacesIn a broad spectrum of mathematical challenges the existence of a. olution is equival. nt to the existence of a xed point for a suitable map. The existence of axed. point is therefore of prime importance in various domains of mathematic.
This special Issue deals with the theory, especially applications in science, engineering, physical or chemical new models and convergence of distinct iterative methods. We will accept high-quality papers having original research results. The purpose of this Special Issue is to bring mathematicians together with physicists, engineers, as well ...