Result: Halpern–Ishikawa type iterative schemes for approximating fixed points of multi-valued non-self mappings
Title:
Halpern–Ishikawa type iterative schemes for approximating fixed points of multi-valued non-self mappings
Authors:
Source:
Arabian Journal of Mathematics. 10:239-252
Publisher Information:
Springer Science and Business Media LLC, 2020.
Publication Year:
2020
Subject Terms:
Numerical Analysis, Numerical Optimization Techniques, Semidefinite Programming, Economics, Iterative Algorithms for Nonlinear Operators and Optimization, Multi-valued Mappings, Computer science, 01 natural sciences, Algorithm, Fixed Point Theorems in Metric Spaces, Interior-Point Methods, Computational Theory and Mathematics, Contractive Mappings, Computer Science, Physical Sciences, Convergence (economics), FOS: Mathematics, Nonexpansive Mappings, Geometry and Topology, 0101 mathematics, Mathematics, Economic growth
Document Type:
Academic journal
Article<br />Other literature type
Language:
English
ISSN:
2193-5351
2193-5343
2193-5343
DOI:
10.1007/s40065-020-00296-9
DOI:
10.60692/tqyjd-mte55
DOI:
10.60692/rznek-etv84
Access URL:
Rights:
CC BY
Accession Number:
edsair.doi.dedup.....325e732c72e8bd68c4cb6543c1f08b64
Database:
OpenAIRE
Further Information
Let C be a nonempty closed convex subset of a real Hilbert space H and $$T: C\rightarrow CB(H)$$ T : C → C B ( H ) be a multi-valued Lipschitz pseudocontractive nonself mapping. A Halpern–Ishikawa type iterative scheme is constructed and a strong convergence result of this scheme to a fixed point of T is proved under appropriate conditions. Moreover, an iterative method for approximating a fixed point of a k-strictly pseudocontractive mapping $$T: C\rightarrow Prox(H)$$ T : C → P r o x ( H ) is constructed and a strong convergence of the method is obtained without end point condition. The results obtained in this paper improve and extend known results in the literature.