Fixed Point Iterations for Multi-Valued Mapping in Uniformly Smooth Banach Space

Asian Resonance(P: ISSN No. 0976-8602 RNI No.UPENG/2012/426228 VOL.-IV, ISSUE-I, January-2015  E: ISSN No. 2349-9443) 

Abstract


 Samir Dashputre 

Associate Professor, Deptt. of Applied Mathematics, Shri Shankaracharya Groups of Institutions, Junwani, Bhilai, (C.G)


Yogesh Kumar Sahu

 Assistant Professor, Deptt. of Applied Mathematics, Shri Shankaracharya Groups of Institutions, Junwani, Bhilai, (C.G)

Let K be nonempty closed convex bounded subset of a real uniformly smooth Banach space with modulus of smoothness of power type 𝑞 > 1 and 𝑇: 𝐾 → 𝑃 (𝐾) a multi–valued quasi-contractive mapping has a fixed point. We proved that the sequences of Mann and Ishikawa iterate converges to a fixed point of T. The result generalizes and extendes former result proved by Sastry and Babu [17]

for full paper please visit below link :

http://www.socialresearchfoundation.com/upoadreserchpapers/1/32/1504231226081styogesh%20kumar%20sahu.pdf

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