Variational Principles, Minimization Theorems, and Fixed-Point Theorems on Generalized Metric Spaces

J.S. Ume
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J.S. Ume: Changwon National University

Journal of Optimization Theory and Applications, 2003, vol. 118, issue 3, No 8, 619-633

Abstract: Abstract In this paper, we prove a new minimization theorem by using the generalized Ekeland variational principle. We apply our minimization theorem to obtain some fixed-point theorems. Our results extend, improve, and unify many known results due to Kui, Ekeland, Takahashi, Caristi, Ćirić, and others.

Keywords: Variational principles; minimization theorems; fixed-point theorems; D-metric; lower semicontinuity (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1023/B:JOTA.0000004874.68185.35

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