Approximating fixed point solutions of variational inequalities using explicit iterations for asymptotically nonexpansive semigroup of mappings in Banach spaces


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	Approximating fixed point solutions of variational inequalities using explicit iterations for asymptotically nonexpansive semigroup of mappings in Banach spaces


	Fixed Point Theory, Volume 18, No. 2, 2017, 503-522, June 1st, 2017 DOI: 10.24193/fpt-ro.2017.2.40 Authors: R.C. Dimri and Pushpendra Semwal Abstract: Our purpose in this article is to introduce two new iterations and studying the strong convergence algorithms for finding approximating solutions of some variational inequalities on the set of common fixed point for a semigroup of asymptotically nonexpansive mappings. The results of this article improve and extend the recent work of Sunthrayuth and Kumam [21]. Key Words and Phrases: Common fixed point, variational inequality, semigroup of asymptotically nonexpansive mapping, strong convergence. 2010 Mathematics Subject Classification: 47H09, 47H10, 47H20, 47J20, 54H25. Published on-line: June 1st, 2017. Abstract pdf Fulltext pdf Back to volume's table of contents