Abstract
The purpose of this paper is to introduce the mixed Agarwal–O’Regan–Sahu type iterative scheme (Agarwal et al., 2007) for finding a common fixed point of the multi-valued nonexpansive mappings in the setting of hyperbolic spaces. Under suitable conditions, some Δ-convergence theorems of the iterative sequence generated by the proposed scheme to approximate a common fixed point of multi-valued nonexpansive mappings are proved. The results presented in the paper extend and improve some recent results announced in the current literature.
Highlights
Establishing the excitation spectrum of a composite system has historically been one of the most effective ways to determine the detailed nature of the interactions between its constituents
The spectrum of nucleon resonances remains poorly established with the basic properties and even the existence of many excited states uncertain
A major program of measurements utilizing polarized photon beams, polarized targets and final-state nucleon polarimeters is currently underway with the goal to achieve a “complete”, model-independent measurement of photoproduction reactions
Summary
Establishing the excitation spectrum of a composite system has historically been one of the most effective ways to determine the detailed nature of the interactions between its constituents. In an attempt to address this shortcoming, real photon beams have been used to excite nucleon targets, providing accurate data to constrain partialwave analyses (PWA) and reaction models used to extract information on the excitation spectrum [6,7,8,9,10,11]. The process γ p → K +Λ has the lowest energy threshold for photoproduction reactions with final-state particles containing strange valence quarks This is a crucial channel as many models predict that some poorly established or “missing” resonances couple strongly to strange decay channels [12]. Disentangling the cause of the narrow structure in this mass region is likely to require accurate cross-section and polarization observables for a range of reaction channels
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