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BEST RANDOM PROXIMITY PAIR THEOREMS FOR RELATIVELY U-CONTINUOUS RANDOM OPERATORS WITH APPLICATIONS
Okeke, Godwin Amechi The Youngnam Mathematical Society 2017 East Asian mathematical journal Vol.33 No.3
It is our purpose in this paper to introduce the concept of best random proximity pair for subsets A and B of a separable Banach space E. We prove some best random approximation and best random proximity pair theorems of certain classes of random operators, which is the stochastic verse of the deterministic results of Eldred et al. [22], Eldred et al. [18] and Eldred and Veeramani [19]. Furthermore, our results generalize and extend recent results of Okeke and Abbas [42] and Okeke and Kim [43]. Moreover, we shall apply our results to study nonlinear stochastic integral equations of the Hammerstein type.
BEST RANDOM PROXIMITY PAIR THEOREMS FOR RELATIVELY U-CONTINUOUS RANDOM OPERATORS WITH APPLICATIONS
Godwin Amechi Okeke 영남수학회 2017 East Asian mathematical journal Vol.33 No.3
It is our purpose in this paper to introduce the concept of best random proximity pair for subsets A and B of a separable Banach space E. We prove some best random approximation and best random proximity pair theorems of certain classes of random operators, which is the stochastic verse of the deterministic results of Eldred et al. [22], Eldred et al. [18] and Eldred and Veeramani [19]. Furthermore, our results generalize and extend recent results of Okeke and Abbas [42] and Okeke and Kim [43]. Moreover, we shall apply our results to study nonlinear stochastic integral equations of the Hammerstein type.
Okeke Job Izuchukwu(오케케 좁 이주추쿠),Han, Hye-Kyoung(한혜경) 동북아시아문화학회 2020 동북아 문화연구 Vol.1 No.64
In July 2019, a trade rift broke out between South Korea and Japan, traced back to a long standing historical dispute over the treatment of Koreans during the Japanese colonial rule of the country. As the dispute bothers on history and national pride, national media in East Asia captured this feud from their different perspectives, which have wider implication for their immediate and wider audience around the world. This exploratory study aimed at investigating media framing of news of this recent conflict especially with recourse to operational context of the media organizations; whether operational context influenced news medias’ framing of the issues arising from the conflict. In this study, two broad contexts were considered: first, media in the primary context (the feuding countries); South Korea and Japan, and second, media in the secondary context (observant countries); China, Singapore, Hong Kong, Taiwan etc. The study employed content analysis to determine framing of news reports selected from English language media organizations used in the study. Framing theory was utilized as the critical model towards understanding the issue under investigation. The result of our analysis showed that for South Korean government and media, historical issues of “slave labour” and “comfort women” etc. were dominant agendas they pushed. For Japan, their “trade restriction”, “1965 post war settlement” and its national “security measures” etc. were the main agendas they advanced in the media. For newsrooms in wider East Asia, apart from agendas of the feuding countries, regional concerns of security, peace and trade were also major concerns. Our analysis showed that nationalistic tendencies, newsroom ideals and loyalties did sometimes dictate what agenda is framed into news or left out, hence variation between South Korean and Japanese media outlets in the framing of the different agendas, as well as variation between Chinese media and the rest of democratic East Asia media.
Okeke Godwin Amechi,Kim Jong Kyu 경남대학교 수학교육과 2019 Nonlinear Functional Analysis and Applications Vol.24 No.4
It is our purpose to continue the study of approximation of xed point of multivalued nonlinear mappings in a modular function space which is initiated by Khan and Abbas [14]. Some convergence results were established for three multi-valued $rho$-quasi-nonexpansive mappings using a three step iterative scheme.
OKEKE IZUCHUKWU,SHAO JINHUA,서기량,정다희 한국언론정보학회 2020 한국언론정보학회 학술대회 Vol.2020 No.11
이 논문은 범죄 뉴스 보도에서 용의자를 묘사하는 데 초점을 맞추어 국가 간 범죄의 언론 보도 의 다양성을 강조하는 탐색적 연구이다. 범죄 용의자(범죄로 기소되었지만 아직 법원에서 유죄 가 확정되지 않은 개인)에 대한 미디어 묘사에 대한 보편적 기준이 없는 경우, 범죄 신고 기준은 지역 문화에 따라 달라진다. 따라서 언론과 검찰은 특정 동기에 따라 피의자를 대중에게 제시할 수 있는 적절한 방법을 선택한다. 다만, 범죄에 대한 보도가 피해자나 기소에 대해 긍정적으로 묘 사될 수 있다는 점은 기정사실이다. 결국, 법정에서 무죄를 선고받더라도 자신의 생명을 해칠 가 능성이 있는 피의자의 묘사에는 부정적인 경향을 보인다. 본 연구의 분석 단위는 선별된 국가로 부터 입수한 텔레비전 범죄 뉴스 보도다. 연구자는 범죄 용의자의 노출에 대한 미디어 묘사의 수 렴과 분리에 관한 영상을 평가한다. 콘텐츠 분석은 입수한 동영상에서 용의자의 묘사에 대한 고 유한 특징을 탐색하고 정의하는 데 활용되며, 근거 이론은 이러한 특징을 분석 가능한 항목으로 범주화하고 코딩하는 데 활용된다.
Okeke Job Izuchukwu 한국언론정보학회 2023 한국언론정보학회 학술대회 Vol.2023 No.11
The existing literature on cancel culture that unfolds on social media identifies it with the theme of “wokeness”. This perspective is downstream from media narratives, especially in the Western liberal democracies where cancel culture is broadly framed as a fallout of ideological/cultural warfare between the ideological, political Left and Right. This study explores cancel culture from a global phenomenon perspective, with varied ideological dispositions driving people in varied conversational contexts, producing varied themes within conversations. In this lexical-based content analysis study, various NLP models like text similarity, tf-idf, word network, and keyword-in-context analysis are utilized to examine conversations made within cancel culture conversational contexts to deduce communication patterns that suggest varying thematic issues and ideological dispositions among the countries. The analyses examine thematic and ideological perspectives such as wokeness, politics, cultural/moral convictions, nationalistic/patriotic sentiments, normative/traditional activism, and freedom of speech, as prominent ideological leanings in cancel culture debates. Through this study, we shed light on how text analytics can help understand human beliefs and behavioral patterns by analyzing the text of banal communications like social media.
Godwin Amechi Okeke,Jong Kyu Kim 경남대학교 수학교육과 2020 Nonlinear Functional Analysis and Applications Vol.25 No.3
We approximate the common fixed point of two nonself operators satisfying rational contractive conditions via Jungck-type iterative schemes in complex valued Banach spaces. Moreover, we prove that the Jungck-CR iterative sequence is (S,T)-stable and give some numerical examples to validate our analytical results. Furthermore, we apply our results in solving certain mixed type Volterra-Fredholm functional nonlinear integral equation.
FIXED POINT THEOREMS FOR CONVEX MINIMIZATION PROBLEMS IN COMPLEX VALUED CAT(0) SPACES
Godwin Amechi Okeke,Mujahid Abbas,Manuel de la Sen 경남대학교 수학교육과 2020 Nonlinear Functional Analysis and Applications Vol.25 No.4
In this paper, we introduce the concept of a complex valued CAT(0) space andpropose a new proximal point algorithm for certain nonlinear operators satisfying rationalexpressions in the framework of complex valued CAT(0) spaces. We prove existence of fixed point of these nonlinear mappings in such spaces. And we prove strong and -convergence of the iterative sequence generated through our proposed algorithm to the minimizer of aconvex function and the xed point of these mappings. We show that the new iterative algorithm converges faster than the modified Mann-type and Ishikawa-type proximal point algorithms.
Godwin Amechi Okeke,Daniel Francis,Jong Kyu Kim 경남대학교 수학교육과 2023 Nonlinear Functional Analysis and Applications Vol.28 No.4
We define new classes of expansive-type mappings in the setting of modular $\omega^{G}$-metric spaces and prove the existence of common unique fixed point for these classes of expansive-type mappings on $\omega^{G}$-complete modular $\omega^{G}$-metric spaces. The results established in this paper extend, improve, generalize and compliment many existing results in literature. We produce some examples to validate our results.