2013, ISBN 9814458910, xi, 234 pages

Book

1974, Cambridge tracts in mathematics, ISBN 9780521202893, Volume 66., viii, 93

Book

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, ISSN 0362-546X, 03/2012, Volume 75, Issue 4, pp. 2154 - 2165

In this paper, we introduce a new concept of alpha-psi-contractive type mappings and establish fixed point theorems for such mappings in complete metric...

MATHEMATICS | MATHEMATICS, APPLIED | GENERALIZED CONTRACTIONS | Contractive mapping | SETS | Coupled fixed point | COMPATIBLE MAPPINGS | NONLINEAR CONTRACTIONS | ORDINARY DIFFERENTIAL-EQUATIONS | Fixed point | ORDERED METRIC-SPACES

MATHEMATICS | MATHEMATICS, APPLIED | GENERALIZED CONTRACTIONS | Contractive mapping | SETS | Coupled fixed point | COMPATIBLE MAPPINGS | NONLINEAR CONTRACTIONS | ORDINARY DIFFERENTIAL-EQUATIONS | Fixed point | ORDERED METRIC-SPACES

Journal Article

Nonlinear Analysis, ISSN 0362-546X, 2012, Volume 75, Issue 4, pp. 2154 - 2165

In this paper, we introduce a new concept of -contractive type mappings and establish fixed point theorems for such mappings in complete metric spaces....

Contractive mapping | Coupled fixed point | Fixed point

Contractive mapping | Coupled fixed point | Fixed point

Journal Article

Nonlinear Analysis, ISSN 0362-546X, 2009, Volume 71, Issue 11, pp. 5313 - 5317

We prove a generalization of Edelstein’s fixed point theorem. Though there are thousands of fixed point theorems in metric spaces, our theorem is a new type of...

Edelstein’s fixed point theorem | Contraction | Edelstein's fixed point theorem | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | GENERALIZED CONTRACTIONS | MAPS | PARTIALLY ORDERED SETS | MAPPINGS | PRINCIPLE | ORDINARY DIFFERENTIAL-EQUATIONS

Edelstein’s fixed point theorem | Contraction | Edelstein's fixed point theorem | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | GENERALIZED CONTRACTIONS | MAPS | PARTIALLY ORDERED SETS | MAPPINGS | PRINCIPLE | ORDINARY DIFFERENTIAL-EQUATIONS

Journal Article

1970, 35 leaves

Book

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2015, Volume 2015, Issue 1, pp. 1 - 18

In this manuscript we introduce the notions of R-function and R-contractions, and we show an ad hoc fixed point theorem. We prove that this new kind of...

46T99 | Mathematical and Computational Biology | Mathematics | Topology | 54H25 | manageable function | R -function | 47H10 | Analysis | 47H09 | simulation function | Mathematics, general | Applications of Mathematics | Differential Geometry | fixed point theorem | R-function | SIMULATION FUNCTIONS | MATHEMATICS | MATHEMATICS, APPLIED | METRIC-SPACES | MEIR-KEELER-TYPE | MAPPINGS | Fixed point theory | Usage | Functions | Functional equations | Nonlinearity | Operators | Theorems | Fixed points (mathematics) | Simulation | Manuscripts

46T99 | Mathematical and Computational Biology | Mathematics | Topology | 54H25 | manageable function | R -function | 47H10 | Analysis | 47H09 | simulation function | Mathematics, general | Applications of Mathematics | Differential Geometry | fixed point theorem | R-function | SIMULATION FUNCTIONS | MATHEMATICS | MATHEMATICS, APPLIED | METRIC-SPACES | MEIR-KEELER-TYPE | MAPPINGS | Fixed point theory | Usage | Functions | Functional equations | Nonlinearity | Operators | Theorems | Fixed points (mathematics) | Simulation | Manuscripts

Journal Article

Proceedings of the American Mathematical Society, ISSN 0002-9939, 10/2015, Volume 143, Issue 10, pp. 4439 - 4455

abstract inductive definition on a complete lattice is formulated and studied. As an application, a constructive version of Tarski's fixed point theorem is...

constructive set theories | MATHEMATICS | MATHEMATICS, APPLIED | CONSTRUCTIVE SET-THEORY | inductive definitions | uniform objects | Tarski's fixed point theorem

constructive set theories | MATHEMATICS | MATHEMATICS, APPLIED | CONSTRUCTIVE SET-THEORY | inductive definitions | uniform objects | Tarski's fixed point theorem

Journal Article

Proceedings of the American Mathematical Society, ISSN 0002-9939, 10/2015, Volume 143, Issue 10, pp. 4439 - 4455

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2007, Volume 332, Issue 2, pp. 1468 - 1476

In this paper we introduce cone metric spaces, prove some fixed point theorems of contractive mappings on cone metric spaces.

Contractive mapping | Ordered Banach space | Cone metric space | Fixed point | MATHEMATICS | contractive mapping | MATHEMATICS, APPLIED | cone metric space | fixed point | ordered Banach space

Contractive mapping | Ordered Banach space | Cone metric space | Fixed point | MATHEMATICS | contractive mapping | MATHEMATICS, APPLIED | cone metric space | fixed point | ordered Banach space

Journal Article

Bulletin of the Belgian Mathematical Society - Simon Stevin, ISSN 1370-1444, 04/2013, Volume 20, Issue 2, pp. 345 - 358

In the paper we provide a few generalizations of Darbo fixed point theorem. Several interconnections among assumptions imposed in the proved theorems are...

Functional integral equation | Darbo fixed point theorem | Measure of noncompactness | Modulus of continuity | EXISTENCE | MATHEMATICS | measure of noncompactness | modulus of continuity | FUNCTIONAL INTEGRAL-EQUATION | ASYMPTOTIC STABILITY | functional integral equation | Integral equations | Theorems (Mathematics) | Research | 47H10 | 34A12 | 47H09

Functional integral equation | Darbo fixed point theorem | Measure of noncompactness | Modulus of continuity | EXISTENCE | MATHEMATICS | measure of noncompactness | modulus of continuity | FUNCTIONAL INTEGRAL-EQUATION | ASYMPTOTIC STABILITY | functional integral equation | Integral equations | Theorems (Mathematics) | Research | 47H10 | 34A12 | 47H09

Journal Article

Nonlinear Analysis, ISSN 0362-546X, 2011, Volume 74, Issue 14, pp. 4804 - 4808

Let us consider a map , where and are two nonempty subsets of a metric space . The aim of this article is to provide sufficient conditions for the existence of...

[formula omitted]-property | Fixed points | Best proximity points | Weakly contractive non-self-maps | [formula omitted]-contraction | k-contraction | P-property | EXISTENCE | MATHEMATICS, APPLIED | EXTENSIONS | SPACES | PRINCIPLE | MATHEMATICS | MAPS | EQUILIBRIUM PAIRS | CONVERGENCE | Nonlinearity | Theorems | Proximity | Metric space

[formula omitted]-property | Fixed points | Best proximity points | Weakly contractive non-self-maps | [formula omitted]-contraction | k-contraction | P-property | EXISTENCE | MATHEMATICS, APPLIED | EXTENSIONS | SPACES | PRINCIPLE | MATHEMATICS | MAPS | EQUILIBRIUM PAIRS | CONVERGENCE | Nonlinearity | Theorems | Proximity | Metric space

Journal Article

Nonlinear Analysis, ISSN 0362-546X, 2006, Volume 65, Issue 7, pp. 1379 - 1393

We prove a fixed point theorem for a mixed monotone mapping in a metric space endowed with partial order, using a weak contractivity type of assumption....

Coupled upper, lower solutions | Periodic boundary value problem | Partially ordered set | Coupled fixed point | lower solutions | periodic boundary value problem | MATHEMATICS | MATHEMATICS, APPLIED | partially ordered set | coupled fixed point | coupled upper

Coupled upper, lower solutions | Periodic boundary value problem | Partially ordered set | Coupled fixed point | lower solutions | periodic boundary value problem | MATHEMATICS | MATHEMATICS, APPLIED | partially ordered set | coupled fixed point | coupled upper

Journal Article

Nonlinear Analysis, Theory, Methods and Applications, ISSN 0362-546X, 09/2009, Volume 71, Issue 5-6, pp. 1678 - 1683

We give a sufficient and necessary condition for the convergence of the sequence of successive approximations to a fixed point, which is the conclusion of...

τ-distance | The Banach contraction principle | Subrahmanyam's fixed point theorem | Successive approximations | Strong leader mapping | Fixed point | EXISTENCE | MATHEMATICS, APPLIED | tau-distance | EKELANDS VARIATIONAL PRINCIPLE | MATHEMATICS | ASYMPTOTIC CONTRACTIONS | COMPLETE METRIC-SPACES | COERCIVITY

τ-distance | The Banach contraction principle | Subrahmanyam's fixed point theorem | Successive approximations | Strong leader mapping | Fixed point | EXISTENCE | MATHEMATICS, APPLIED | tau-distance | EKELANDS VARIATIONAL PRINCIPLE | MATHEMATICS | ASYMPTOTIC CONTRACTIONS | COMPLETE METRIC-SPACES | COERCIVITY

Journal Article

1968, Memorandum from Institute of Economics, University of Oslo, 3 leaves

Book

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 09/2014, Volume 417, Issue 2, pp. 552 - 558

In this brief note we study Schauder's second fixed point theorem in the space of bounded continuous functions with a view to reducing the requirement that...

Fixed points | Schauder's theorem | Fractional differential equations | Nonlinear integral equations | MATHEMATICS | MATHEMATICS, APPLIED | FRACTIONAL EQUATIONS

Fixed points | Schauder's theorem | Fractional differential equations | Nonlinear integral equations | MATHEMATICS | MATHEMATICS, APPLIED | FRACTIONAL EQUATIONS

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2008, Volume 341, Issue 2, pp. 1241 - 1252

The purpose of this paper is to present some fixed point results for self-generalized contractions in ordered metric spaces. Our results generalize and extend...

Generalized contraction | Ordered metric space | Monotone operator | Integral equation | Fixed point | MATHEMATICS | MATHEMATICS, APPLIED | fixed point | ordered metric space | integral equation | SETS | ORDINARY DIFFERENTIAL-EQUATIONS | monotone operator | generalized contraction

Generalized contraction | Ordered metric space | Monotone operator | Integral equation | Fixed point | MATHEMATICS | MATHEMATICS, APPLIED | fixed point | ordered metric space | integral equation | SETS | ORDINARY DIFFERENTIAL-EQUATIONS | monotone operator | generalized contraction

Journal Article

Fuzzy Sets and Systems, ISSN 0165-0114, 08/2017, Volume 320, pp. 93 - 113

The aim of this paper is to present a fuzzification of Tarski's fixed point theorem without the assumption of transitivity. For this purpose a new structure –...

L-fuzzy monotone map | Transitivity | Residuated lattice | Fuzzy relation | Fixed point | L-ordered set | MATHEMATICS, APPLIED | FUZZY | STATISTICS & PROBABILITY | LATTICES | COMPUTER SCIENCE, THEORY & METHODS

L-fuzzy monotone map | Transitivity | Residuated lattice | Fuzzy relation | Fixed point | L-ordered set | MATHEMATICS, APPLIED | FUZZY | STATISTICS & PROBABILITY | LATTICES | COMPUTER SCIENCE, THEORY & METHODS

Journal Article

Proceedings of the American Mathematical Society, ISSN 0002-9939, 08/2007, Volume 135, Issue 8, pp. 2505 - 2517

We extend some fixed point theorems in L-spaces, obtaining extensions of the Banach fixed point theorem to partially ordered sets.

Mathematical sequences | Frechet topologies | Mathematical theorems | Mathematical monotonicity | Topological theorems | Abstract spaces | Diagonal lemma | Partially ordered sets | Mathematics | Topological spaces | L-spaces | Partially ordered set | Fixed point | MATHEMATICS | MATHEMATICS, APPLIED | partially ordered set | fixed point | SETS | EQUATIONS

Mathematical sequences | Frechet topologies | Mathematical theorems | Mathematical monotonicity | Topological theorems | Abstract spaces | Diagonal lemma | Partially ordered sets | Mathematics | Topological spaces | L-spaces | Partially ordered set | Fixed point | MATHEMATICS | MATHEMATICS, APPLIED | partially ordered set | fixed point | SETS | EQUATIONS

Journal Article

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