Convergence and Stability of New Approximation Algorithms for Certain Contractive-Type Mappings

We present new fixed points algorithms called multistep H-iterative scheme and multistep SH-iterative scheme. Under certain contractive-type condition, convergence and stability results were established without any imposition of the ’sum conditions’, which to a large extent make some existing iterative schemes so far studied by other authors in this direction practically inefficient. Our results complement and improve some recent results in literature.

Central Basin and Range Ecoregion Wetland Assessment and Landscape Analysis

Wetlands in the arid Central Basin and Range (“Central Basin”) ecoregion of Utah are scarce but provide important functions including critical habitat for wildlife including Species of Greatest Conservation Need and migratory birds, water quality improvement, and recreational and aesthetic values. The Utah Geological Survey (UGS) conducted a study in 2019 and 2020 to better understand the location, type, condition, and potential function of wetlands in the ecoregion. This study focused on areas in the Great Salt Lake and Escalante Desert-Sevier Lake (“Sevier Basin”) HUC6 watersheds within the Central Basin to complement previous work by the UGS that focused on other watersheds in the ecoregion.

Growth parameters of Brycinus longipinnis (Günther, 1864) from the Aghien Lagoon (South East of Côte D’ivoire)

The growth of Brycinus longipinnis caught at Aghien Lagoon was studied between June 2014 and May 2015 through growth type, condition factor and growth parameters according to the Von Bertalanffy model. Sampling was conducted using experimental fisheries. Growth type was determined from the length-weight relationship and growth parameters according to the Von Bertalanffy model from the FiSAT software. The growth was of negative allometric type (b = 2.59). The Brycinus longipinnis population grows faster towards the asymptotic length ((L∞ = 92.40 mm SL) with a growth coefficient K of 0.36 year-1. It is also a long-lived fish species with maximum longevity (tmax) of 8.32 years.

Existence results and two step proximal point algorithm for equilibrium problems on Hadamard manifolds

"In this paper, we study the existence of solutions of equilibrium problems in the setting of Hadamard manifolds under the pseudomonotonicity and geodesic upper sign continuity of the equilibrium bifunction and under different kinds of coercivity conditions. We also study the existence of solutions of the equilibrium problems under properly quasimonotonicity of the equilibrium bifunction. We propose a two-step proximal point algorithm for solving equilibrium problems in the setting of Hadamard manifolds. The convergence of the proposed algorithm is studied under the strong pseudomonotonicity and Lipschitz-type condition. The results of this paper either extend or generalize several known results in the literature."

Catalogue of the types of Psocoptera (Insecta: Psocodea) destroyed in the fire of 2.IX.2018, at the National Museum of Brazil, Rio de Janeiro (MNRJ), BRAZIL

A catalogue of type specimens of Psocoptera (Insecta: Psocodea) destroyed in the fire of 2.IX.2018 at the National Museum of Rio de Janeiro (MNRJ) is presented. 20 holotypes and six paratypes, included in four families of Psocoptera (Cladiopsocidae Smithers, 1972; Dolabellopsocidae Eertmoed, 1973; Epipsocidae Pearman, 1936 and Ptiloneuridae Roesler, 1940), all described by New (1972) and deposited in the MNRJ were destroyed during the fire. The taxa are presented alphabetically by suborders, infraorders, families, and genera, followed by species (updated to the valid name), bibliographic citation, type category, description of the type condition with collection number and method of preservation. When necessary, comments are added.

Unified multivalued interpolative Reich–Rus–Ćirić-type contractions

This article examines new multivalued interpolative Reich–Rus–Ćirić-type contraction conditions and fixed point results for multivalued maps that fulfill these conditions. Earlier defined interpolative contraction type conditions cannot be particularized to any contraction type condition. This slackness of the interpolative contraction type condition is addressed through new multivalued interpolative Reich–Rus–Ćirić-type contraction conditions.