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MONOTONE GENERALIZED CONTRACTIONS IN ORDERED METRIC SPACES
Alam, Aftab,Imdad, Mohammad Korean Mathematical Society 2016 대한수학회보 Vol.53 No.1
In this paper, we prove some existence and uniqueness results on coincidence points for g-monotone mappings satisfying linear as well as generalized nonlinear contractivity conditions in ordered metric spaces. Our results generalize and extend two classical and well known results due to Ran and Reurings (Proc. Amer. Math. Soc. 132 (2004), no. 5, 1435-1443) and Nieto and $Rodr{\acute{i}}guez$-$L{\acute{o}}pez$ (Acta Math. Sin. 23 (2007), no. 12, 2205-2212) besides similar other ones. Finally, as an application of one of our newly proved results, we establish the existence and uniqueness of solution of a first order periodic boundary value problem.
REMARKS ON CERTAIN NOTED COINCIDENCE THEOREMS: A UNIFYING AND ENRICHING APPROACH
Aftab Alam,Mohd. Hasan,Mohammad Imdad 경남대학교 기초과학연구소 2021 Nonlinear Functional Analysis and Applications Vol.26 No.5
In this paper, we unify and enrich the well-known classical metrical coincidence theorems on a complete metric space due to Machuca, Goebel and Jungck. We further extend our newly proved results on a subspace Y of metric space X, wherein X need not be complete. Finally, we slightly modify the existing results involving (E.A)-property and (CLR_g)-property and apply these results to deduce our coincidence and common fixed point theorems.
Monotone generalized contractions in ordered metric spaces
Aftab Alam,Mohammad Imdad 대한수학회 2016 대한수학회보 Vol.53 No.1
In this paper, we prove some existence and uniqueness results on coincidence points for $g$-monotone mappings satisfying linear as well as generalized nonlinear contractivity conditions in ordered metric spaces. Our results generalize and extend two classical and well known results due to Ran and Reurings (Proc. Amer. Math. Soc. {\bf 132} (2004), no. 5, 1435--1443) and Nieto and Rodr\'{\i}guez-L\'{o}pez (Acta Math. Sin. {\bf 23} (2007), no. 12, 2205--2212) besides similar other ones. Finally, as an application of one of our newly proved results, we establish the existence and uniqueness of solution of a first order periodic boundary value problem.
An improved co-training approach for document Sentiment classification
Jawad Khan(자와드 칸),Aftab Alam(아프타 발람),Muhammad Numan Khan(무함마드 누만 칸),Irfan Ullah(이르판 울라),Muhammad Umair(무하마드 우매르),Umair Qudus(구두스 우매르),Tariq Habib Afridi(타리크 하비브 아프리디),Sung Soo Park(박성수),Young-Koo Lee( 한국정보과학회 2020 한국정보과학회 학술발표논문집 Vol.2020 No.7