Open Access
2011 On Latif's Fixed Point Theorems
Wei-Shih Du
Taiwanese J. Math. 15(4): 1477-1485 (2011). DOI: 10.11650/twjm/1500406359

Abstract

In this paper, we prove that Latif’s fixed point statements for $w$-distance or other weak distances are indeed equivalent with some weak distance variants of Caristi’s fixed point statement, Ekeland’s variational principle statement and Takahashi’s nonconvex minimization statement.

Citation

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Wei-Shih Du. "On Latif's Fixed Point Theorems." Taiwanese J. Math. 15 (4) 1477 - 1485, 2011. https://doi.org/10.11650/twjm/1500406359

Information

Published: 2011
First available in Project Euclid: 18 July 2017

zbMATH: 1241.54031
MathSciNet: MR2848969
Digital Object Identifier: 10.11650/twjm/1500406359

Subjects:
Primary: 47H10 , 49J53 , 54H25

Keywords: $w$-distance , Caristi's fixed point theorem , Ekeland's variational principle , Takahashi's nonconvex minimization theorem

Rights: Copyright © 2011 The Mathematical Society of the Republic of China

Vol.15 • No. 4 • 2011
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