English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Let E be a real Banach space, {Ti} N=1 be a finite family of continuous pseudocon- tractive self mappings of E and G : E → E be a mapping which is both δ -strongly accretive and λ -strictly pseudocontractive of Browder-Petryshyn type such that δ +λ 1. We propose a new implicit iteration scheme with perturbed mapping G for the approximation of common fixed points of {Ti} N=1 . For an arbitrary initial point x0 ∈ E , the sequence {xn} ∞=1 is defined by xn = αn(xn−1 − λnG(xn−1)) + (1 − αn)Tnxn where Tn = Tn mod N , {αn} ∞=1 ⊂ (a,b) ⊂)0,1( and {λn} ∞=1 ⊂ (0,1(. We establish some weak convergence theorems for this implicit iteration scheme. Also, necessary and sufficient conditions for strong convergence of this implicit iteration scheme are obtained.

Implicit iteration scheme with perturbed mapping for common fixed points of a finite family of Lipschitz pseudocontractive mappings