Approximate Endpoints for Set-Valued Contractions in Metric Spaces

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作者
N Hussain
A Amini-Harandi
YJ Cho
机构
[1] King Abdulaziz University,Department of Mathematics
[2] University of Shahrekord,Department of Mathematics
[3] Gyeongsang National University,Department of Mathematics Education and the RINS
关键词
Nash Equilibrium; Topological Space; Multivalued Mapping; Convex Space; Fixed Point Theory;
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摘要
The existence of approximate fixed points and approximate endpoints of the multivalued almost [inline-graphic not available: see fulltext]-contractions is established. We also develop quantitative estimates of the sets of approximate fixed points and approximate endpoints for multivalued almost [inline-graphic not available: see fulltext]-contractions. The proved results unify and improve recent results of Amini-Harandi (2010), M. Berinde and V. Berinde (2007), Ćirić (2009), M. Păcurar and R. V. Păcurar (2007) and many others.
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