On the equivalence of stochastic fixed point iterations for generalized \(\varphi\)-contractive-like operators

DOI10.1155/2018/9576137OpenAlexW2803406406MaRDI QIDQ1798611

Kanayo Stella Eke, Hudson Akewe, Victoria Olisama

Publication date: 23 October 2018

Published in: International Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/9576137

Mathematics Subject Classification ID

Operator theory (47-XX) General topology (54-XX)

Cites Work

• Strong convergence and stability of Kirk-multistep-type iterative schemes for contractive-type operators
• Common fixed point theorems of Gregus type for weakly compatible mappings satisfying contractive conditions of integral type
• The equivalence between Mann-Ishikawa iterations and multistep iteration
• Convergence and stability theorems for the Picard-Mann hybrid iterative scheme for a general class of contractive-like operators
• Stability and strong convergence results for random Jungck-Kirk-Noor iterative scheme
• Remarks of equivalence among Picard, Mann, and Ishikawa iterations in normed spaces
• Equivalence and stability of random fixed point iterative procedures
• Common fixed point of Jungck-Kirk-type iterations for non-self operators in normed linear spaces
• Random equations
• Reducing random transforms
• Fixed Point Iteration for Local Strictly Pseudo-Contractive Mapping
• A continuation type result for random operators
• A Fixed Point Theorem for Mappings which do not Increase Distances
• On successive approximations for nonexpansive mappings in Banach spaces
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