Global Solutions of Mathematical Programs with Intrinsically Concave Functions

1980 ◽  
pp. 355-373 ◽  
Author(s):  
U. Passy
Author(s):  
Ajay Bhushan Prasad

21<sup>st</sup> Century is an era of stress and burnout. For the past few decades it has been a burning and hot topic of discussion for researchers, to evolve stress and burnout- from a global problem to global solutions, as it affects the life of individuals in an unprecedented manner and touches them at workplace across the globe. Everybody knows what stress is all about. It has become a part of life and perhaps, to some extent, necessary at work and outside work. Some people are more productive and creative when they work under stress. But if stress is intense and continuous, then it becomes a negative phenomenon leading to physical illness and psychological disorders. Stress and burnout in today's environment has become a well documented problem. Various researches have evaluated stress and burnout in workplaces. Stress is a non-specific response of body to any demand made on it. Many researchers have identified that stress and burnout has become an integral part of our daily life due to the negative aspects of job, such as, multiple responsibilities, disciplinary problems, employee's apathy, involuntary transfers, inadequate pay and perks, less chances of career advancement and lack of administrative support etc. As a result of these, individuals are likely to suffer from stress and may experience a sense of tiredness and frustration. When prolonged stress continues and it is not effectively managed, it can even lead to symptoms of burnout, a state of emotional exhaustion, depersonalization and diminished personal accomplishment in the workplace. Stress management can be done through six zones which we have discussed in detail, with a holistic approach. It includes health zone, intimate zone, family zone, work zone, social zone and spiritual zone. In this paper, an effort is made to discuss the solutions of stress and burnout in different and innovative ways through different zones which have been experienced by the author in his 20 years of professional career. Thus, stress and burnout are not a trivial problem but a major dysfunction of the 21<sup>st</sup> century, which has far reaching impact on quality and quantity of productivity. The present paper explores the concept of stress and burnout, the major differences between them, factors leading to genesis of the problem, various symptoms and how it is a serious quality concern for all professionals. Appropriate interventions for prevention and management of stress and burnout are also suggested.


Filomat ◽  
2017 ◽  
Vol 31 (11) ◽  
pp. 3593-3597
Author(s):  
Ravindra Bisht

Combining the approaches of functionals associated with h-concave functions and fixed point techniques, we study the existence and uniqueness of a solution for a class of nonlinear integral equation: x(t) = g1(t)-g2(t) + ? ?t,0 V1(t,s)h1(s,x(s))ds + ? ?T,0 V2(t,s)h2(s,x(s))ds; where C([0,T];R) denotes the space of all continuous functions on [0,T] equipped with the uniform metric and t?[0,T], ?,? are real numbers, g1, g2 ? C([0, T],R) and V1(t,s), V2(t,s), h1(t,s), h2(t,s) are continuous real-valued functions in [0,T]xR.


2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Slavko Simić ◽  
Bandar Bin-Mohsin

AbstractIn this article we give two possible generalizations of the Hermite–Hadamard integral inequality for the class of twice differentiable functions, where the convexity property of the target function is not assumed in advance. They represent a refinement of this inequality in the case of convex/concave functions with numerous applications.


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