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Pant, Vyomesh
- Reciprocal Continuity and Common Fixed Points
Authors
1 Department of Mathematics, Kumaon University, D.S.B. Campus, Nainital-263002, IN
Source
The Journal of the Indian Mathematical Society, Vol 70, No 1-4 (2003), Pagination: 157-167Abstract
While studying the fixed point theorems for four mappings A, B, S and T (say) a Meir-Keeler type (ε,δ) contractive condition alone is not sufficient unless some additional condition is imposed on δ or a ∅-contractive condition is also used together with it. In the following pages we prove two common fixed theorems assuming a Meir-Keeler type (ε,δ) contractive condition together with a plane contractive condition (Theorem 1) or Lipschitz type analogue of a plane contractive condition (Theorem 2); however, without imposing any additional restriction on δ or having a ∅-contractive condition used together with it. Simultaneously, we also show that none of the mappings involved in the following theorems is continuous at their common fixed point Thus we not only generalize the Meir-Keeler type and Boyd-Wong type fixed point theorems, but also provide one more answer to the problem (see Rhoades [22]) on the existence of a contractive definition, which is strong enough to generate a fixed point but does not force the map to be continuous at the fixed point. Our result extends the result of Pant [15].
- On Discontinuity and Fixed Points
Authors
1 Depaitment of Mathematics, Kumaon University, D.S.B. Campus, Nainital-263 002, IN
2 Department of Mathematics, Kathmandu University, P.O. Box No. 1250, Kathmandu, NP
Source
The Journal of the Indian Mathematical Society, Vol 71, No 1-4 (2004), Pagination: 103-107Abstract
The present paper is aimed at proving a fixed point theorem under the (ε,δ) contractive condition, however without either imposing any additional restriction on δ or on the continuity of the map or assuming the Φ-contractive condition together with it. In the setting of the fixed point theorem we show that the map is discontinuous at the fixed point. Our theorem extends the results of Pant [Theorem 1, [13]] and Pant [17].- Reciprocity between Education and Economic Development in Indian Perceptive-Modified Perception and Approach Required
Authors
1 DA – 81 F, Hari Nagar, New Delhi – 110064, IN
Source
Indian Journal of Economics and Development, Vol 6, No 7 (2018), Pagination: 1-14Abstract
Objectives: The paper is intended to discuss the relationship between education policy and economic development in India, to analyse the present scenario and to provide some suggestions for their reciprocal development.
Method/Statistical Analysis: Data from credible official sources have been used and analysed through suitable tables and graphs using descriptive statistical tools like percentage, ratio-proportion and mean to examine whether our education system fulfils the present requirement and addresses the demand of day or whether some modification is required in it. A correlation between the education and economic development has been established to show that there is a reciprocal relationship between them.
Findings: The Education policy needs to be revived in accordance with the present requirement. The education must be diversified and be linked with the economic development of the country. Apart from fulfilling its basic requirement, the education must be able to develop the human capital as potential source of GDP for the country. Linking education with employment, micro management of real time problems, sustainable increment in public spending on education, learning from other countries are some of the ways which may bring out the desired change in the education system and simultaneously push the country towards economic development.
Applications/Improvements: Modified education policy, as discussed here, may result in exponential economic growth, which, in turn, may provide more financial resources for education and may lead India to become a developed country.
Keywords
Education System, Economic Development, Gross Domestic Product (GDP), Entrepreneurship, Employment, Skill Development.Full Text
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- Durga Puja:From Spirituality to Modernity–What Next?
Authors
1 D-15A, Vatika Apartments, Mayapuri, New Delhi – 110064, IN
Source
Indian Journal of Economics and Development, Vol 7, No 10 (2019), Pagination: 1-9Abstract
Objectives: The aim of this study is to provide some suggestions as to how Durga Puja can benefit Indian economy optimally and contribute simultaneously for the welfare of the people.
Method/ Statistical Analysis: The findings in this study are based on the data collected during the Durga Puja, 2018 in Kolkata, interactions with the Puja Samitis, people from public and Government agencies, articles and reports published in the contemporary media and the information gathered from official records. Comparison of the size of the Durga Puja economy has been made with the budget estimates of Government of West Bengal and various Centrally Sponsored Schemes.
Findings: If Durga Puja is organized in the manner as suggested in this study, it may result in real time development of the people as well as economic growth of the country, which may ultimately lead India to become a developed country. The time has come when the Government may step in to play a proactive role in organizing the Durga Puja festival. Durga Puja is the best time to promote the culture and tradition of West Bengal throughout the world. If organized properly, Durga Puja festival may enhance tourism manifold, which is beneficial for the people & economy of India. The size of the Durga Puja economy is much higher than the budget estimates of various Centrally Sponsored Schemes being run for welfare of the people, including some flagship programmes. Therefore, if Durga puja is managed properly and it is linked with various centrally sponsored schemes, it may not only benefit the economy of India but also accelerate the welfare of the common people of the country.
Applications/Improvements: As suggested in the paper, Durga Puja economy, in convergence with the main Centrally Sponsored Schemes, can contribute towards the welfare of people and take our economy to scale new heights.
Keywords
Durga Puja Celebration, Economic Development, Durga Puja Economy, Puja Pandals, Centrally Sponsored Schemes.Full Text
References
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