Krasnoselski-Mann type iterative method for hierarchical fixed point problem and split mixed equilibrium problem
In this paper, we suggest and analyze a Krasnoselski-Mann type iterative method to approximate a common element of solution sets of a hierarchical fixed point problem for nonexpansive mappings and a split mixed equilibrium problem. We prove that sequences generated by the proposed iterative method c...
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| Veröffentlicht in: | Numerical algorithms 2018, Vol.77 (1), p.289-308 |
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| creator | Kazmi, K. R. Ali, Rehan Furkan, Mohd |
| description | In this paper, we suggest and analyze a Krasnoselski-Mann type iterative method to approximate a common element of solution sets of a hierarchical fixed point problem for nonexpansive mappings and a split mixed equilibrium problem. We prove that sequences generated by the proposed iterative method converge weakly to a common element of solution sets of these problems. Further, we derive some consequences from our main result. Furthermore, we extend the considered iterative method to a split monotone variational inclusion problem and deduce some consequences. Finally, we give a numerical example to justify the main result. The method and results presented in this paper generalize and unify the corresponding known results in this area. |
| doi_str_mv | 10.1007/s11075-017-0316-y |
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The method and results presented in this paper generalize and unify the corresponding known results in this area.</description><subject>Algebra</subject><subject>Algorithms</subject><subject>Computer Science</subject><subject>Equilibrium</subject><subject>Iterative methods</subject><subject>Mathematical programming</subject><subject>Numeric Computing</subject><subject>Numerical Analysis</subject><subject>Original Paper</subject><subject>Theory of Computation</subject><issn>1017-1398</issn><issn>1572-9265</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><recordid>eNp1UMlOwzAQtRBIlMIHcLPEOeCJkzo-oopNFHGBs-UkY-qSrbaDyN_jUhAnTjOat40eIefALoExceUBmMgTBiJhHBbJdEBmkIs0kekiP4z7DgEui2Ny4v2GsahKxYwMj077rvfY-HebPOmuo2EakNqATgf7gbTFsO5ranpH1zYeXbW2lW6osZ9Y06G3XaCD68sGW6q7mvqhsYG23yhuR9vY0tmx_eWckiOjG49nP3NOXm9vXpb3yer57mF5vUqq-H5IcCHzgpcAgnOt01IiR6Y5N7ISGWRYQKWlyVgmUUqOsiqYzkqTiawyWEPJ5-Ri7xtztyP6oDb96LoYqVIJRS4zLiCyYM-qXO-9Q6MGZ1vtJgVM7YpV-2JVrE_tilVT1KR7jY_c7g3dn_P_oi8QfH4q</recordid><startdate>2018</startdate><enddate>2018</enddate><creator>Kazmi, K. 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| subjects | Algebra Algorithms Computer Science Equilibrium Iterative methods Mathematical programming Numeric Computing Numerical Analysis Original Paper Theory of Computation |
| title | Krasnoselski-Mann type iterative method for hierarchical fixed point problem and split mixed equilibrium problem |
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