Abstract View

Author(s): T.D. Narang

Email(s): tdnarang1948@yahoo.co.in

Address: Department of Mathematics, Guru Nanak Dev University, Amritsar-143005 (India)

Published In:   Volume - 26,      Issue - 1,     Year - 2013

DOI: Not Available

ABSTRACT:
In 1969, Ky Fan [Math. Z. 112(1969), 234-240] proved that if M is a nonempty compact convex subset of a normed linear space Ethen for any continuous map f: M→ E, there exists a y0€ M such that 11 y0 - f(y0) 11 = Min { 11 x - f(y0) l I: x€M} This theorem has been extended by several mathematicians and applied in various fields. This paper also deals with some further generalizations of the result in metric linear spaces.

Cite this article:
Narang (2013). On Generalisations of Ky Fan's Theorem in Metric Linear Spaces. Journal of Ravishankar University (Part-B: Science), 26(1), pp. 35-39.


References not available.

Related Images:



Recent Images



Optimized Structural Design of G+7 Residential Buildings: A Modern Approach with ETABS
Quantitative Estimation of Piperine in Drakshadi Ghrita by HPTLC Method
Screening of phenolics and flavonoids using FTIR and UV-Vis: Antioxidant activity and HPLC quantification of gallic acid and ellagic acid
Carbon Dots in Biomedical Applications: A Review of Their Interaction with Serum Albumins, Antidepressant Agents, and Enzymatic Systems
Review on Solar Energy in India, Achievements (2021–2025), and Benefits of Solar Energy
Investigation on Groundwater Quality in Sukma Bastar District, Chhattisgarh
Implement of Dijkstra method in Village data management system for Optimal Route Calculation
Fiber Reinforced Concrete: Comparative Analysis of Helix Steel Fibers and Plain Steel Fibers in Structural Applications
Dynamic Geometrical Modeling and Computational Analysis of Multi-Bob Pendulum Wave Interference Systems
A Comparative Analysis of Inventory Models: Evaluating the Economic Order Quantity (EOQ) Model with Constant Demand versus Variable Demand Rates

Tags


Recomonded Articles:

Author(s): Hemant Kumar Nashine

DOI:         Access: Open Access Read More

Author(s): Sharda Charan Gupta; Maohu Shrivastav

DOI:         Access: Open Access Read More

Author(s): T.D. Narang

DOI:         Access: Open Access Read More

Author(s): Hemant Kumar Mahine; C.L. Dewangan

DOI:         Access: Open Access Read More

Author(s): T.D. Narang

DOI:         Access: Open Access Read More