논문KCI 등재
Random fixed point theorems for $*$-nonexpansive operators in Fr\'echet spaces
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Abstract
Some random fixed point theorems fornonexpansive and *-nonexpansive random operators defined on convexand starshaped sets in a Fr'echet space are proved. Our workextends recent results of Beg and Shahzad and Tan and Yaun to noncontinuousmultivalued random operators, sets analogue to an earlierresult of Itoh and provides a random version of a deterministicfixed point theorem due to Singh and Chen.
관련 논문AI추천
Random fixed points of weakly inward multivalued random mapsB. C. Dhage, Naseer Shahzad대한수학회 · 대한수학회보2003 · 제40권 제4호Random fixed point of mappings over a Hilbert space with a probability measureL. Debnath, M. Saha장전수학회 · Advanced Studies in Contemporary Mathematics2009 · 제18권 제1호Random fixed point theorems and Leray--Schauder alternatives for $\,{\mathcal U}_c^{\kappa}\,$ mapsDonal O'Regan, Ravi P. Agarwal대한수학회 · 대한수학회논문집2005 · 제20권 제2호Notes on Random Fixed Point Theorems조열제, M. Firdosh Khan, Salahuddin한국수학교육학회 · 이론수학과 교직수학2006 · 제13권 제3호Composite implicit random iterations for approximating common random fixed point for a finite family of asymptotically nonexpansive random operatorsBinayak S. Choudhury, Shrabani Banerjee대한수학회 · 대한수학회논문집2011 · 제26권 제1호Fixed point theory in Fr´echet spaces for M¨onch inward and contractive Urysohn type operatorsDonal O'Regan영남수학회 · East Asian Mathematical Journal2008 · 제24권 제3호
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