CONVERGENCE THEOREMS FOR THE ZEROS OF A FINITE FAMILY OF GENERALIZED ACCRETIVE OPERATORS


Authors

N. GURUDWAN - School of Studies in Mathematics, Pt. Ravishankar Shukla University Raipur - 492010 (C.G.), India. B. K. SHARMA - School of Studies in Mathematics, Pt. Ravishankar Shukla University Raipur - 492010 (C.G.), India.


Abstract

A strong convergence theorem for the common zero for a finite family of Generalized Lipschitz operators in a uniformly smooth Banach space is proved when atleast one of the operator is Generalized \(\Phi\)- accretive, using a new iteration formula. Similar result for Generalized Lipschitz and Generalized \(\Phi\)- pseudocontractive map is also proved. Our result extends the convergence results of Chidume [4] to a finite family improving many other results.


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