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oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/166702026-10-18T20:36:32Zopenairedrivercom_ebyu_10000col_ebyu_10001

A CONVERGENCE THEOREM IN GENERALIZED CONVEX CONE METRIC SPACESGunduz, Birolconvex metric spacescone metric spacesI-nonexpansive mappingscommon fixed pointstrong convergenceNONEXPANSIVE-MAPPINGSFINITE FAMILYITERATIONMathematicsThe aim of this work is to establish convergence theorem of a new iteration process for a finite family of I-asymptotically quasi-nonexpansive mappings and a finite family of asymptotically quasi-nonexpansive mappings in generalized convex cone metric spaces. Our result is valid in the whole space, whereas the results given in [4, 5] are valid in a nonempty convex subset of a convex cone metric space. Our convergence results generalize and refine not only result of Gunduz [6] but also results of Lee [4, 5] and Temir [9].ANKARA UNIV, FAC SCI2018Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/16670https://doi.org/10.1501/commua1_00000008691303-5991enCOMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICSinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/16670