Applied Analysis, Optimization and Soft Computing

This book contains select contributions presented at the International Conference on Nonlinear Applied Analysis and Optimization (ICNAAO-2021), held at the Department of Mathematics Sciences, Indian Institute of Technology (BHU) Varanasi, India, from 2123 December 2021. The book discusses topics in the areas of nonlinear analysis, fixed point theory, dynamical systems, optimization, fractals, applications to differential/integral equations, signal and image processing, and soft computing, and exposes the young talents with the newer dimensions in these areas with their practical approaches and to tackle the real-life problems in engineering, medical and social sciences. Scientists from the U.S.A., Austria, France, Mexico, Romania, and India have contributed their research. All the submissions are peer reviewed by experts in their fields.

Discusses topics on applied analysis, optimization, and soft computing Focuses on newer dimensions in these areas with their practical approaches Contains chapters on nonlinear analysis, fixed point theory, and dynamical systems, optimization

Autorentext

TANMOY SOM is Professor and former Head of the Department of Mathematical Sciences, Indian Institute of Technology (Banaras Hindu University), Varanasi, India. He completed his PhD from Institute of Technology, Banaras Hindu University, India, in 1986. He also has served as the Head of the Department of Mathematics at Assam Central University, Silchar. His research interests are in functional analysis, optimization and mathematical modelling, fuzzy set theory, soft computing and image processing. He has successfully guided more than 16 PhD students and published more than 100 papers and several book chapters in reputed national and international journals, proceedings and edited books. He has has authored several papers on metric fixed point theory, optimization modelling and recently on applied analysis, soft computing and fuzzy geometry.

He has completed a BRNS-BARC funded project titled "Fractional calculus approached solutions for two-dimensional ground water contaminations in unsaturated media" during 2014-18 jointly with Prof. S. Das of IIT (BHU). He is an editorial board member and reviewer of a few reputed journals including IEEE Transactions, American Mathematical Society, one of the volume editors of the book Mathematics and Computing: ICMC 2018, Varanasi, India, January 9-11 (Springer 2018). He has been Guest/Handling Editor of the International Journal of Forensic and Community Medicine. He has delivered several invited talks at national and international conferences, seminars, refresher courses, etc., and has organized three international events as organizing chair. He is the Vice-President of Calcutta Mathematical Society-one of the oldest mathematical societies in India. He has made short academic visits to Texas A&M University, Kingsville (2012), and the University of California, Berkeley (2016).

DEBDAS GHOSH is Assistant Professor at the Department of Mathematical Sciences, Indian Institute of Technology (BHU) Varanasi, India. He earned his PhD degree in mathematics from the Indian Institute of Technology (IIT) Kharagpur. He has completed his M.Sc. from the IIT Kharagpur in 2009 and B.Sc. from Ramkrishna Mission Vidyamandira, Belur Math, University of Calcutta, Kolkata, India. He is a recipient of the Professor J. C. Bose Memorial Gold Medal from the IIT Kharagpur (2009). Dr Ghosh has been awarded the Outstanding Potential for Excellence in Research and Academics Award (2014) from BITS-Pilani (Hyderabad Campus), where he worked as Assistant Professor of mathematics, from June 2014-June 2016.

His broad research interest includes optimization theory, fuzzy geometry, computational multiobjective optimization, and robust optimization. With more than 40 papers and 12 conference papers, he has published five papers on fuzzy geometrical ideas on plane and space. He has authored/edited several books: An Introduction to Analytical Fuzzy Plane Geometry, Mathematics and Computing (Springer), and A Primer on Interval Optimization (all **with Springer). Dr. Ghosh has completed a research project entitled "On Characterizing and Obtaining the Complete Efficient Solution Set of an Interval Optimization Problem under a D-Dominance and a Variable Dominance Structure", funded by Science and Engineering Research Board, India. He is now handling a research project entitled "On Developing Polynomial-time Interior-Point Methods for Robust Multiobjective Convex Optimization Problems", funded by Science and Engineering Research Board, India.

OSCAR CASTILLO is Professor of Computer Science at the Graduate Division, Tijuana Institute of Technology, Tijuana, Mexico. In addition, he is serving as Research Director of Computer Science and head of the research group on Hybrid Fuzzy Intelligent Systems. Currently, he is President of Hispanic American Fuzzy Systems Association (HAFSA) and Past President of International F

Inhalt
Applied Analysis: M. Moga and A. Petruse, Large contractions and surjectivity in Banach spaces.- V. Tiwari, Binayak S., Tanmoy Som, On Hick's contraction using a control function.- S. Binayak, N. Metiya, S. Kundu, P. Maity, Coupled fixed points for multivalued FengLiu type contractions with application to nonlinear integral equation.- R. Kumar, A. Kumar Nain, M. Kumar, On Unique Positive Solution of Hadamard Fractional Differential Equation Involving pLaplacian.- M. Pandey, T. Som, S. Verma, Dimensional Analysis of Mixed RiemannLiouville Fractional Integral of Vector Valued Functions.- T.M.C. Priyanka, A. Gowrisankar, Fractional operator associated with the fractal integral of A-fractal function.- Differential and Integral Equations: S. Chentout, A. Benmezai and W. Esserhan, Eigenvalue criteria for existence and nonexistence of positive solutions for order fractional differential equations, (2 < 3), with integral condition ,on the halfline.- B. Hussain and A. Afroz, A Collocation Method for Solving Proportional Delay Riccati Differential Equations of Fractional Order.- Rahul and N. Kumar Mahato, On the Solution of Generalized Proportional Hadamard Fractional Integral Equations.- S. Ghosh and M. Banerjee, A multi-strain model for COVID-19.- S. Samaddar, M. Dhar and P. Bhattacharya, Effect of Nonlinear Prey Refuge on Predator-Prey Dynamics.- Dr R. Tiwari, Effects of magnetic field and thermal conductivity variance on thermal excitation developed by laser pulses and thermal shock.- C. Bhuma, Parkinson Disease Detection from spirals and wave drawings using Sequential Model Selection.- Fractal Theory: P. Massopust, Clifford-Valued Fractal Interpolation.- M. Verma, A. Priyadarshi, S. Verma, Fractal dimension for a class of complexvalued fractal interpolation functions.- M. K Roychowdhury, Optimal quantizers for nonuniform distributions on Sierpi&apos;nski carpets.- V. Agrawal and T. Som, A note on complex-valued fractal functions on the Sierpinski Gasket.- FuzzySet Theory and Soft Computing: Salsabeela V and Sunil Jacob John, A Similarity Measure of Picture Fuzzy Soft Sets and its Application.- A. Kumari Prasad, Soft Almost s-Regularity and Soft Almost sNormality.- Fathima Perveen P A and Sunil Jacob John, Algebraic Properties of Spherical Fuzzy Sets.- T M Athira and Sunil Jacob John, Divergence Measures of Pythagorean Fuzzy Soft Sets.- Anitha K, Fuzzy-Rough Optimization Technique for Breast Cancer Classification.- Optimization: J. Dutta, An Invitation to Optimality Conditions through Non-smooth Analysis.- J. Jauny, D. Ghosh and A. Upadhayay, Multi-objective Environmentallly Friendly and Economically Feasible Electric Power Distribution Problem with Primal-Dual Interior-Point Method.- A. Singh and S. Prasad Yadav, Performance evaluation of DMUs using hybrid fuzzy multi-objective data envelopment analysis.- V. Laha and L. Pandey, On mathematical programs with equilibri…