On Uniformly Generalized Lipschitzian Mappings | Zendy

Mohammad Imdad | Zendy; Ahmed H. Soliman | Zendy

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On Uniformly Generalized Lipschitzian Mappings

Author(s) -

Mohammad Imdad,

Ahmed H. Soliman

Publication year - 2010

Publication title -

fixed point theory and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.826

H-Index - 63

eISSN - 1687-1820

pISSN - 1687-1812

DOI - 10.1155/2010/692401

Subject(s) - mathematics , iterated function , differential geometry , pure mathematics , semigroup , metric space , bounded function , fixed point , class (philosophy) , type (biology) , uniform boundedness , metric (unit) , coincidence point , discrete mathematics , mathematical analysis , ecology , operations management , artificial intelligence , computer science , economics , biology

We consider another class of generalized Lipschitzian type mappings and utilize the same to prove fixed point theorems for asymptotically regular and uniformly generalized Lipschitzian one-parameter semigroups of self-mappings defined on bounded metric spaces equipped with uniform normal structure which yield corresponding results in respect of semigroup of iterates of a self-mapping as corollaries. Our results also generalize some relevant results due to the work of Lim and Xu (1995), Yao and Zeng (2007), and Soliman (2009)

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