http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
F-contraction in Partially Ordered b-metric like Spaces
Om Prakash Chauhan,Vishal Joshi,Saurabh Singh 한국수학교육학회 2024 純粹 및 應用數學 Vol.31 No.1
In this article, we utilize the concepts of hybrid rational Geraghty type generalized F-contraction and to prove some fixed point results for such mappings are in the perspective of partially ordered b-metric like space. Some innovative examples are also presented which substantiate the validity of obtained results. The example is also authenticated with the help of graphical representations.
Om Prakash Chauhan,Deepak Singh,Vishal Joshi,Garima Singh,Rajendra Kumar Sharma 경남대학교 수학교육과 2018 Nonlinear Functional Analysis and Applications Vol.23 No.4
In this article, we define the notion of a non-negative function satisfying property of oneness. Utilizing this concept, certain unified fixed point results are established. Furthermore generalized φ-contractions mapping and some fixed point results in the framework of symmetric space are also presented. Some well-known results from the existence literature are obtained through our introduced setting. Results are substantiated by some innovative examples with the aid of visualization of surfaces. Moreover applications of obtained theory for the existence for the system of integral equations as well as for the system of functional equations occurred in dynamic programming are also presented.
( Sushil K. Sharma ),( Bhavdish Narayan Johri ),( Aketi Ramesh ),( Om Prakash Joshi ),( S. V. Sai Prasad ) 한국미생물 · 생명공학회 2011 Journal of microbiology and biotechnology Vol.21 No.11
The aim of this investigation was to select effective Pseudomonas sp. strains that can enhance the productivity of soybean-wheat cropping systems in Vertisols of Central India. Out of 13 strains of Pseudomonas species tested in vitro, only five strains displayed plant growth-promoting (PGP) properties. All the strains significantly increased soil enzyme activities, except acid phosphatase, total system productivity, and nutrient uptake in field evaluation; soil nutrient status was not significantly influenced. Available data indicated that six strains were better than the others. Principal component analysis (PCA) coupled cluster analysis of yield and nutrient data separated these strains into five distinct clusters with only two effective strains, GRP3 and HHRE81 in cluster IV. In spite of single cluster formation by strains GRP3 and HHRE81, they were diverse owing to greater intracluster distance (4.42) between each other. These results suggest that the GRP3 and HHRE81 strains may be used to increase the productivity efficiency of soybean-wheat cropping systems in Vertisols of Central India. Moreover, the PCA coupled cluster analysis tool may help in the selection of other such strains.