A new general iterative algorithm with Meir-Keeler contractions for variational inequality problems in q-uniformly smooth Banach spacesReport as inadecuate




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Fixed Point Theory and Applications

, 2013:292

First Online: 09 November 2013Received: 20 June 2013Accepted: 23 August 2013

Abstract

In this paper, we generalize the iterative scheme and extend the space studied in Fixed Point Theory and Applications 2012:46, 2012. Further, we prove some strong convergence theorems of the new iterative scheme for variational inequality problems in q-uniformly smooth Banach spaces under very mild conditions. Our results improve and extend corresponding ones announced by many others.

MSC: 47H09, 47H10.

Keywordsstrong convergence iterative algorithm Meir-Keeler contractions fixed point k-strict pseudo-contractions Banach spaces  Download fulltext PDF



Author: Jinlin Guan - Changsong Hu - Xin Wang

Source: https://link.springer.com/







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