Survey on Metric Fixed Point Theory and Applications

DOI10.1007/978-981-10-4337-6_9zbMath1383.54041OpenAlexW2755357095MaRDI QIDQ4609699

Yeol Je Cho

Publication date: 26 March 2018

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-10-4337-6_9

zbMATH Keywords

stabilityMann iterationPicard iterationposednessBanach's fixed point theorembest proximity pointcontractive mappingmultiplicative metric spacelimit shadowing property\((CLR_g)\)-property\(n\)-cyclically monotone mappingcyclically firmly nonexpansive mappingmaximal \(n\)-cyclically monotone mappingPicard's convergence theoremweakly commuting mapping and compatible mapping

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40) Research exposition (monographs, survey articles) pertaining to general topology (54-02)

Related Items

Some \(PPF\) dependent fixed point theorems for generalized \(\alpha\)-\(F\)-contractions in Banach spaces and applications ⋮ Iterative algorithms for monotone variational inequality and fixed point problems on Hadamard manifolds ⋮ Remarks on the approximate fixed point sequence of \((\alpha ,\beta)\)-maps ⋮ Fixed point theorems for orthogonal \(F\)-contraction mappings on \(O\)-complete metric spaces ⋮ Existence and Approximations for Order-Preserving Nonexpansive Semigroups over $$\mathrm{CAT}(\kappa )$$ Spaces

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