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  1. Journal of Optimization Theory and Applications
  2. Journal of Optimization Theory and Applications : Volume 158
  3. Journal of Optimization Theory and Applications : Volume 158, Issue 2, August 2013
  4. Nonsmooth Optimization Techniques on Riemannian Manifolds
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Journal of Optimization Theory and Applications : Volume 173
Journal of Optimization Theory and Applications : Volume 172
Journal of Optimization Theory and Applications : Volume 171
Journal of Optimization Theory and Applications : Volume 170
Journal of Optimization Theory and Applications : Volume 169
Journal of Optimization Theory and Applications : Volume 168
Journal of Optimization Theory and Applications : Volume 167
Journal of Optimization Theory and Applications : Volume 166
Journal of Optimization Theory and Applications : Volume 165
Journal of Optimization Theory and Applications : Volume 164
Journal of Optimization Theory and Applications : Volume 163
Journal of Optimization Theory and Applications : Volume 162
Journal of Optimization Theory and Applications : Volume 161
Journal of Optimization Theory and Applications : Volume 160
Journal of Optimization Theory and Applications : Volume 159
Journal of Optimization Theory and Applications : Volume 158
Journal of Optimization Theory and Applications : Volume 158, Issue 3, September 2013
Journal of Optimization Theory and Applications : Volume 158, Issue 2, August 2013
The Fermat–Torricelli Problem, Part I: A Discrete Gradient-Method Approach
Nonsmooth Optimization Techniques on Riemannian Manifolds
Strong Convergence in Hilbert Spaces via Γ-Duality
Variational Sets of Perturbation Maps and Applications to Sensitivity Analysis for Constrained Vector Optimization
On the Strong Convergence of Halpern Type Proximal Point Algorithm
Hölder Continuity of the Solution Set of the Ky Fan Inequality
Constructive Proofs of some Positivstellensätze for Compact Semialgebraic Subsets of ℝ$^{ d }$
A Shooting Algorithm for Optimal Control Problems with Singular Arcs
A Primal–Dual Splitting Method for Convex Optimization Involving Lipschitzian, Proximable and Linear Composite Terms
Fastest-Path Planning for Direction-Dependent Speed Functions
Optimal Thickness of a Cylindrical Shell Under a Time-Dependent Force
Optimal Synthesis for the Minimum Time Control Problems of Fed-Batch Bioprocesses for Growth Functions with Two Maxima
Modeling the Influence of Public’s Memory on the Corruption–Popularity Dilemma in Politics
A Polynomial-Time Solution Scheme for Quadratic Stochastic Programs
Scenario Approximation of Robust and Chance-Constrained Programs
Proximal Weakly Contractive and Proximal Nonexpansive Non-self-Mappings in Metric and Banach Spaces
Scaling on the Spectral Gradient Method
Journal of Optimization Theory and Applications : Volume 158, Issue 1, July 2013
Journal of Optimization Theory and Applications : Volume 157
Journal of Optimization Theory and Applications : Volume 156
Journal of Optimization Theory and Applications : Volume 155
Journal of Optimization Theory and Applications : Volume 154
Journal of Optimization Theory and Applications : Volume 153
Journal of Optimization Theory and Applications : Volume 152
Journal of Optimization Theory and Applications : Volume 151
Journal of Optimization Theory and Applications : Volume 150
Journal of Optimization Theory and Applications : Volume 149
Journal of Optimization Theory and Applications : Volume 148
Journal of Optimization Theory and Applications : Volume 147
Journal of Optimization Theory and Applications : Volume 146
Journal of Optimization Theory and Applications : Volume 145
Journal of Optimization Theory and Applications : Volume 144
Journal of Optimization Theory and Applications : Volume 143
Journal of Optimization Theory and Applications : Volume 142
Journal of Optimization Theory and Applications : Volume 141
Journal of Optimization Theory and Applications : Volume 140
Journal of Optimization Theory and Applications : Volume 139
Journal of Optimization Theory and Applications : Volume 138
Journal of Optimization Theory and Applications : Volume 137
Journal of Optimization Theory and Applications : Volume 136
Journal of Optimization Theory and Applications : Volume 135
Journal of Optimization Theory and Applications : Volume 134
Journal of Optimization Theory and Applications : Volume 133
Journal of Optimization Theory and Applications : Volume 132
Journal of Optimization Theory and Applications : Volume 131
Journal of Optimization Theory and Applications : Volume 130
Journal of Optimization Theory and Applications : Volume 129
Journal of Optimization Theory and Applications : Volume 128
Journal of Optimization Theory and Applications : Volume 127
Journal of Optimization Theory and Applications : Volume 126
Journal of Optimization Theory and Applications : Volume 125
Journal of Optimization Theory and Applications : Volume 124
Journal of Optimization Theory and Applications : Volume 123
Journal of Optimization Theory and Applications : Volume 122
Journal of Optimization Theory and Applications : Volume 121
Journal of Optimization Theory and Applications : Volume 120
Journal of Optimization Theory and Applications : Volume 119
Journal of Optimization Theory and Applications : Volume 118
Journal of Optimization Theory and Applications : Volume 117
Journal of Optimization Theory and Applications : Volume 116
Journal of Optimization Theory and Applications : Volume 115
Journal of Optimization Theory and Applications : Volume 114
Journal of Optimization Theory and Applications : Volume 113
Journal of Optimization Theory and Applications : Volume 112
Journal of Optimization Theory and Applications : Volume 111
Journal of Optimization Theory and Applications : Volume 110
Journal of Optimization Theory and Applications : Volume 109
Journal of Optimization Theory and Applications : Volume 108
Journal of Optimization Theory and Applications : Volume 107
Journal of Optimization Theory and Applications : Volume 106
Journal of Optimization Theory and Applications : Volume 105
Journal of Optimization Theory and Applications : Volume 104
Journal of Optimization Theory and Applications : Volume 103
Journal of Optimization Theory and Applications : Volume 102
Journal of Optimization Theory and Applications : Volume 101
Journal of Optimization Theory and Applications : Volume 100
Journal of Optimization Theory and Applications : Volume 99
Journal of Optimization Theory and Applications : Volume 98
Journal of Optimization Theory and Applications : Volume 97
Journal of Optimization Theory and Applications : Volume 96
Journal of Optimization Theory and Applications : Volume 95
Journal of Optimization Theory and Applications : Volume 94
Journal of Optimization Theory and Applications : Volume 93
Journal of Optimization Theory and Applications : Volume 92

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Nonsmooth Optimization Techniques on Riemannian Manifolds

Content Provider Springer Nature Link
Author Hosseini, S. Pouryayevali, M. R.
Copyright Year 2012
Abstract We present the notion of weakly metrically regular functions on manifolds. Then, a sufficient condition for a real valued function defined on a complete Riemannian manifold to be weakly metrically regular is obtained, and two optimization problems on Riemannian manifolds are considered. Moreover, we present a generalization of the Palais–Smale condition for lower semicontinuous functions defined on manifolds. Then, we use this notion to obtain necessary conditions of optimality for a general minimization problem on complete Riemannian manifolds.
Starting Page 328
Ending Page 342
Page Count 15
File Format PDF
ISSN 00223239
Journal Journal of Optimization Theory and Applications
Volume Number 158
Issue Number 2
e-ISSN 15732878
Language English
Publisher Springer US
Publisher Date 2012-12-29
Publisher Place Boston
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Ekeland variational principle Contingent cone Metric regularity Generalized gradient Riemannian manifolds Calculus of Variations and Optimal Control; Optimization Optimization Theory of Computation Applications of Mathematics Engineering Operations Research/Decision Theory
Content Type Text
Resource Type Article
Subject Applied Mathematics Control and Optimization Management Science and Operations Research
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