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On G(λ)-Strictly Pseudocontractive Mapping in Hilbert Spaces


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1 School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa
     

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The purpose of this paper is to study G(λ)-strictly pseudocontractive mapping in a Hilbert space endowed with a directed graph. Moreover, we extend the results of Tiammee et al. [Tiammee et al. On Browder’s convergence theorem and Halpern iteration process for G-nonexpansive mappings in Hilbert spaces endowed with graphs, Fixed point theory and applications (2015) 2015:187 DOI 10.1186/s13663-015-0436-9] obtained for G-nonexpansive mappings to G(λ)-strictly pseudocontractive mapping in Hilbert spaces.
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  • On G(λ)-Strictly Pseudocontractive Mapping in Hilbert Spaces

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Authors

F. U. Ogbuisi
School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa
O. T. Mewomo
School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa

Abstract


The purpose of this paper is to study G(λ)-strictly pseudocontractive mapping in a Hilbert space endowed with a directed graph. Moreover, we extend the results of Tiammee et al. [Tiammee et al. On Browder’s convergence theorem and Halpern iteration process for G-nonexpansive mappings in Hilbert spaces endowed with graphs, Fixed point theory and applications (2015) 2015:187 DOI 10.1186/s13663-015-0436-9] obtained for G-nonexpansive mappings to G(λ)-strictly pseudocontractive mapping in Hilbert spaces.

References