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2014, 2014, ISBN 331910926X, Volume 9783319109275, 176

This is a monograph on fixed point theory, covering the purely metric aspects of the theory-particularly results that do not depend on any algebraic structure...

Fixed point theory | Mathematics | Topology | Mathematical Modeling and Industrial Mathematics | Differential Geometry | Mathematics and Statistics

Fixed point theory | Mathematics | Topology | Mathematical Modeling and Industrial Mathematics | Differential Geometry | Mathematics and Statistics

eBook

2014, 2014, ISBN 331910926X, Volume 9783319109275, 176

This is a monograph on fixed point theory, covering the purely metric aspects of the theory-particularly results that do not depend on any algebraic structure...

Fixed point theory | Mathematics | Topology | Mathematical Modeling and Industrial Mathematics | Differential Geometry | Mathematics and Statistics

Fixed point theory | Mathematics | Topology | Mathematical Modeling and Industrial Mathematics | Differential Geometry | Mathematics and Statistics

eBook

Optimization letters, ISSN 1862-4480, 02/2011, Volume 6, Issue 4, pp. 621 - 628

... · Naseer Shahzad
Received: 9 March 2010 / Accepted: 24 January 2011 / Published online: 13 February 2011
© Springer-Verlag 2011
Abstract In this paper we construct...

Computational Intelligence | Operations Research/Decision Theory | Numerical and Computational Physics | Mathematics | Maximal monotone operator | Resolvent identity | Proximal point algorithm | Regularization | Optimization | Operations Research & Management Science | Physical Sciences | Mathematics, Applied | Technology | Science & Technology | Algorithms

Computational Intelligence | Operations Research/Decision Theory | Numerical and Computational Physics | Mathematics | Maximal monotone operator | Resolvent identity | Proximal point algorithm | Regularization | Optimization | Operations Research & Management Science | Physical Sciences | Mathematics, Applied | Technology | Science & Technology | Algorithms

Journal Article

Journal of fixed point theory and applications, ISSN 1661-7746, 11/2015, Volume 18, Issue 1, pp. 167 - 188

We introduce the concept of cyclic Kannan orbital C-nonexpansive mappings and obtain the existence of a best proximity point on a pair of bounded, closed and...

Mathematical Methods in Physics | 47H10 | cyclic Kannan mapping | Analysis | 47H09 | 46B20 | Goebel–Karlovitz lemma | Mathematics, general | Mathematics | Hadamard space | Best proximity point | Physical Sciences | Mathematics, Applied | Science & Technology

Mathematical Methods in Physics | 47H10 | cyclic Kannan mapping | Analysis | 47H09 | 46B20 | Goebel–Karlovitz lemma | Mathematics, general | Mathematics | Hadamard space | Best proximity point | Physical Sciences | Mathematics, Applied | Science & Technology

Journal Article

Optimization letters, ISSN 1862-4472, 11/2011, Volume 5, Issue 4, pp. 691 - 704

... mappings
in Banach spaces
Habtu Zegeye · Naseer Shahzad
Received: 11 March 2010 / Accepted: 4 September 2010 / Published online: 19 September 2010
© Springer-Verlag...

Monotone mappings | Strong convergence | Computational Intelligence | Operations Research/Decision Theory | Generalized projection | Numerical and Computational Physics | γ -Inverse strongly monotone mappings | Mathematics | Variational inequality problems | Optimization | γ-Inverse strongly monotone mappings | Operations Research & Management Science | Physical Sciences | Mathematics, Applied | Technology | Science & Technology | Equality

Monotone mappings | Strong convergence | Computational Intelligence | Operations Research/Decision Theory | Generalized projection | Numerical and Computational Physics | γ -Inverse strongly monotone mappings | Mathematics | Variational inequality problems | Optimization | γ-Inverse strongly monotone mappings | Operations Research & Management Science | Physical Sciences | Mathematics, Applied | Technology | Science & Technology | Equality

Journal Article

Fixed point theory and applications (Hindawi Publishing Corporation), ISSN 1687-1820, 12/2015, Volume 2015, Issue 1, pp. 1 - 12

... midpoint rule of nonexpansive mappings in Hilbert spaces Hong-Kun Xu1,2*, Maryam A Alghamdi3 and Naseer Shahzad2 *Correspondence: xuhk@hdu.edu.cn; mailto:xuhk...

hierarchical minimization | viscosity | nonexpansive mapping | nonlinear evolution equation | variational inequality | projection | implicit midpoint rule | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Viscosity | Cartography | Usage | Analysis | Hilbert space | Convergence (Mathematics) | Methods | Inequalities | Nonlinear evolution equations | Minimization | Mapping | Optimization | Convergence

hierarchical minimization | viscosity | nonexpansive mapping | nonlinear evolution equation | variational inequality | projection | implicit midpoint rule | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Viscosity | Cartography | Usage | Analysis | Hilbert space | Convergence (Mathematics) | Methods | Inequalities | Nonlinear evolution equations | Minimization | Mapping | Optimization | Convergence

Journal Article

Fixed point theory and applications (Hindawi Publishing Corporation), ISSN 1687-1820, 12/2015, Volume 2015, Issue 1, pp. 1 - 11

... operators on metric ´
spaces endowed with a graph and ﬁxed point
theorems
Naseer Shahzad 1* and Satish Shukla 2
* Correspondence:
nshahzad@kau.edu.sa 1 Department...

set-valued G -Prešić operator | Mathematical and Computational Biology | Mathematics | Topology | graph | 54H25 | 47H10 | 39A11 | fixed point | Analysis | Mathematics, general | difference inclusion | Applications of Mathematics | Differential Geometry | set-valued G-Prešić operator | Physical Sciences | Mathematics, Applied | Science & Technology | Fixed point theory | Graph theory | Metric spaces | Operators | Theorems | Fixed points (mathematics) | Metric space | Asymptotic properties | Nonlinearity | Graphs | Inclusions

set-valued G -Prešić operator | Mathematical and Computational Biology | Mathematics | Topology | graph | 54H25 | 47H10 | 39A11 | fixed point | Analysis | Mathematics, general | difference inclusion | Applications of Mathematics | Differential Geometry | set-valued G-Prešić operator | Physical Sciences | Mathematics, Applied | Science & Technology | Fixed point theory | Graph theory | Metric spaces | Operators | Theorems | Fixed points (mathematics) | Metric space | Asymptotic properties | Nonlinearity | Graphs | Inclusions

Journal Article

Fixed point theory and applications (Hindawi Publishing Corporation), ISSN 1687-1820, 12/2014, Volume 2014, Issue 1, pp. 1 - 15

... Access
Approximating a common point of ﬁxed
points of a pseudocontractive mapping and
zeros of sum of monotone mappings
Naseer Shahzad 1* and Habtu Zegeye 2...

pseudocontractive mappings | fixed points | Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | monotone mappings | strong convergence | Fixed points | Pseudocontractive mappings | Monotone mappings | Strong convergence | Physical Sciences | Mathematics, Applied | Science & Technology | Fixed point theory | Usage | Approximation theory | Hilbert space | Contraction operators | Operators (mathematics) | Theorems | Fixed points (mathematics) | Approximation | Inequalities | Nonlinearity | Mapping

pseudocontractive mappings | fixed points | Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | monotone mappings | strong convergence | Fixed points | Pseudocontractive mappings | Monotone mappings | Strong convergence | Physical Sciences | Mathematics, Applied | Science & Technology | Fixed point theory | Usage | Approximation theory | Hilbert space | Contraction operators | Operators (mathematics) | Theorems | Fixed points (mathematics) | Approximation | Inequalities | Nonlinearity | Mapping

Journal Article

Abstract and applied analysis, ISSN 1085-3375, 12/2013, Volume 2013

We prove some best proximity point results for relatively u-continuous mappings in Banach and hyperconvex metric spaces. Our results generalize and extend some...

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Fixed point theory | Functions, Continuous | Research | Banach spaces | Mathematical research | Mappings (Mathematics) | Studies | Metric space | Mapping | Proximity

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Fixed point theory | Functions, Continuous | Research | Banach spaces | Mathematical research | Mappings (Mathematics) | Studies | Metric space | Mapping | Proximity

Journal Article

10.
Full Text
Strong convergence of an iterative method for pseudo-contractive and monotone mappings

Journal of global optimization, ISSN 0925-5001, 9/2012, Volume 54, Issue 1, pp. 173 - 184

... Zegeye · Naseer Shahzad
Received: 11 November 2010 / Accepted: 19 July 2011 / Published online: 31 July 2011
© Springer Science+Business Media, LLC. 2011
Abstract...

Monotone mappings | Operations Research/Decision Theory | Pseudocontractive mappings | 47J05 | Computer Science, general | 47H05 | 47J25 | Optimization | Nonexpansive mappings | Economics / Management Science | Real Functions | Operations Research & Management Science | Physical Sciences | Mathematics | Mathematics, Applied | Technology | Science & Technology | Studies | Optimization techniques | Mapping | Hilbert space | Convergence

Monotone mappings | Operations Research/Decision Theory | Pseudocontractive mappings | 47J05 | Computer Science, general | 47H05 | 47J25 | Optimization | Nonexpansive mappings | Economics / Management Science | Real Functions | Operations Research & Management Science | Physical Sciences | Mathematics | Mathematics, Applied | Technology | Science & Technology | Studies | Optimization techniques | Mapping | Hilbert space | Convergence

Journal Article

Abstract and applied analysis, ISSN 1085-3375, 12/2013, Volume 2013

We define some notions of contraction mappings in b-metric space endowed with a graph G and subsequently establish some fixed point results for such classes of...

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Fixed point theory | Metric spaces | Graph theory | Research | Mathematical research | Operators | Theorems | Fixed points (mathematics) | Existence theorems | Integral equations | Graphs | Mapping

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Fixed point theory | Metric spaces | Graph theory | Research | Mathematical research | Operators | Theorems | Fixed points (mathematics) | Existence theorems | Integral equations | Graphs | Mapping

Journal Article

TheScientificWorld, ISSN 1537-744X, 3/2014, Volume 2014, pp. 493450 - 8

We introduce an iterative process for finding an element of a common fixed point of a finite family of Bregman weak relatively nonexpansive mappings. Our...

Science & Technology - Other Topics | Multidisciplinary Sciences | Science & Technology | Mathematical Concepts | Nonlinear Dynamics | Fixed point theory | Convergence (Mathematics) | Research | Banach spaces | Mathematical research | Mappings (Mathematics) | Theorems | Hilbert space | Convergence | Index Medicus

Science & Technology - Other Topics | Multidisciplinary Sciences | Science & Technology | Mathematical Concepts | Nonlinear Dynamics | Fixed point theory | Convergence (Mathematics) | Research | Banach spaces | Mathematical research | Mappings (Mathematics) | Theorems | Hilbert space | Convergence | Index Medicus

Journal Article

Abstract and applied analysis, ISSN 1085-3375, 12/2014, Volume 2014, pp. 1 - 8

Let A and B be two nonempty subsets of a Banach space X. A mapping T : A ∪ B → A ∪ B is said to be cyclic relatively nonexpansive if T(A) ⊆ B and T(B) ⊆ A and...

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Fixed point theory | Research | Banach spaces | Mathematical research | Mappings (Mathematics)

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Fixed point theory | Research | Banach spaces | Mathematical research | Mappings (Mathematics)

Journal Article

SIAM journal on optimization, ISSN 1052-6234, 2014, Volume 24, Issue 4, pp. 2076 - 2095

Journal Article

Mediterranean journal of mathematics, ISSN 1660-5446, 2/2015, Volume 12, Issue 1, pp. 133 - 146

... and Uniqueness of a Solution
for Some Nonlinear Programming Problems
Moosa Gabeleh and Naseer Shahzad
Abstract. Let us consider the mappings S : A → A and T : A → B...

47H10 | fixed point | 47H09 | WP-property | Mathematics, general | Mathematics | nonlinear programming problem | Best proximity point | Nonlinear programming problem | Fixed point | Physical Sciences | Mathematics, Applied | Science & Technology

47H10 | fixed point | 47H09 | WP-property | Mathematics, general | Mathematics | nonlinear programming problem | Best proximity point | Nonlinear programming problem | Fixed point | Physical Sciences | Mathematics, Applied | Science & Technology

Journal Article

Abstract and applied analysis, ISSN 1085-3375, 12/2014, Volume 2014, pp. 1 - 6

We extend the notions of α - ψ -proximal contraction and α -proximal admissibility to multivalued maps and then using these notions we obtain some best...

Journal Article

Journal of applied mathematics, ISSN 1110-757X, 12/2013, Volume 2013, pp. 1 - 6

The aim of this paper is to prove some best proximity point theorems for new classes of cyclic mappings, called pointwise cyclic orbital contractions and...

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Existence theorems | Mathematical research | Fixed point theory | Convergence (Mathematics) | Research | Banach spaces | Mappings (Mathematics) | Studies | Convergence

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Existence theorems | Mathematical research | Fixed point theory | Convergence (Mathematics) | Research | Banach spaces | Mappings (Mathematics) | Studies | Convergence

Journal Article

Journal of applied mathematics, ISSN 1110-757X, 12/2013, Volume 2013, pp. 1 - 6

We consider multivalued nonself-weak contractions on convex metric spaces and establish the existence of a fixed point of such mappings. Presented theorem...

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Fixed point theory | Research | Mathematical research | Mappings (Mathematics) | Theorems | Fixed points (mathematics) | Mapping | Metric space | Mathematical analysis

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Fixed point theory | Research | Mathematical research | Mappings (Mathematics) | Theorems | Fixed points (mathematics) | Mapping | Metric space | Mathematical analysis

Journal Article