Ismat Beg, FPAS, FIMA, ( ur, عصمت بیگ; born January 1951) is a Pakistani

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...

and

researcher Research is "creative and systematic work undertaken to increase the stock of knowledge". It involves the collection, organization and analysis of evidence to increase understanding of a topic, characterized by a particular attentiveness t ...

. Beg is a senior Full Professor at the

Lahore School of Economics The Lahore School of Economics (LSE) is an independent research university based in Lahore, Punjab, Pakistan established in 1993 and chartered by the government in January 1997. It has currently 200 faculty members and over 3,000 students stu ...

, Higher Education Commission Distinguished National Professorhttp://www.paspk.org/wp-content/uploads/2017/08/NewsLetter-July-2017.pdf and an honorary full professor at the Mathematics Division of the Institute for Basic Research, Florida, US. He has an enthusiastic and interactive teaching style. He is famous for saying “please come on the board” when posed with a question in class. This helps uplift the students’ confidence. Beg's scientific contributions cover a wide range of topics spanning fixed point theory and approximations, order structure, fuzzy sets and systems, artificial intelligence and multicriteria decision theory.

Early life and education

Ismat Beg was born in a small hilly village Mohri Sharif, west of

Kharian Kharian ( ur, ), is a city located within the Gujrat District of the Punjab province of Pakistan. Kharian is the headquarters of Kharian Tehsil. According to 2017 Census of Pakistan, it has a population of about 87,419. It is known as Littl ...

in 1951 to a migrated Kashmiri family. He got his primary schooling in village school sitting under trees. In 1961 his father took him to

Risalpur Risalpur (Pashto/ ur, رسالپور) is a city in Nowshera District, Khyber-Pakhtunkhwa, Pakistan, on the Nowshera-Mardan Road. It is nearly 45 km from Peshawar and 18 km from Mardan and is located at 34°4'52N 71°58'21E. In a basin so ...

and he was sent to

Sapper A sapper, also called a pioneer or combat engineer, is a combatant or soldier who performs a variety of military engineering duties, such as breaching fortifications, demolitions, bridge-building, laying or clearing minefields, preparing ...

Boys

High School A secondary school describes an institution that provides secondary education and also usually includes the building where this takes place. Some secondary schools provide both '' lower secondary education'' (ages 11 to 14) and ''upper seconda ...

, Risalpur Cantt. After passing

Secondary School Certificate The Secondary School Certificate (SSC) or Secondary School Leaving Certificate (SSLC), Matriculation examination, is a public examination in Bangladesh, India and Pakistan conducted by educational boards for the successful completion of the seco ...

in 1966 he joined Zamindar College, Bhimber Road, Gujrat (now Government Zamindar College, Gujrat) for Higher Secondary School Certificate and

Bachelor of Science A Bachelor of Science (BS, BSc, SB, or ScB; from the Latin ') is a bachelor's degree awarded for programs that generally last three to five years. The first university to admit a student to the degree of Bachelor of Science was the University o ...

. He did his

master's degree A master's degree (from Latin ) is an academic degree awarded by universities or colleges upon completion of a course of study demonstrating mastery or a high-order overview of a specific field of study or area of professional practice.

at Government College, Lahore (now Government College University (Lahore)). In 1977, Beg travelled to

Romania Romania ( ; ro, România ) is a country located at the crossroads of Central, Eastern, and Southeastern Europe. It borders Bulgaria to the south, Ukraine to the north, Hungary to the west, Serbia to the southwest, Moldova to the east, and ...

on a scholarship which he applied and qualified. In 1977–78, Beg attended the

West University of Timișoara The West University of Timișoara ( ro, Universitatea de Vest din Timișoara; abbreviated UVT) is a public higher education institution located in Timișoara. Classified by the Ministry of National Education as a university of education and sci ...

for

Romanian language Romanian (obsolete spellings: Rumanian or Roumanian; autonym: ''limba română'' , or ''românește'', ) is the official and main language of Romania and the Republic of Moldova. As a minority language it is spoken by stable communities in ...

and pre-doctoral courses and passed the PhD entrance exam for the

University of Bucharest The University of Bucharest ( ro, Universitatea din București), commonly known after its abbreviation UB in Romania, is a public university founded in its current form on by a decree of Prince Alexandru Ioan Cuza to convert the former Princel ...

. He started his PhD in fall of 1978 under the supervision of

academician An academician is a full member of an artistic, literary, engineering, or scientific academy. In many countries, it is an honorific title used to denote a full member of an academy that has a strong influence on national scientific life. In syst ...

. His area of research is ordered vector spaces and linear operators with specialization in integral representation of linear operators. He defended his thesis in December 1981 and degree was awarded in 1982.

Academic career

Ismat Beg started teaching just after his PhD in 1982 and has served in *

Lahore University of Management Sciences Lahore University of Management Sciences (LUMS) () is a private research university, located in Lahore, Punjab, Pakistan. In 1983, Syed Babar Ali, a renowned businessman in Pakistan, recognized the shortage of qualified managers in the co ...

Kuwait University Kuwait University ( ar, جامعة الكويت, abbreviated as Kuniv) is a public university located in Kuwait City, Kuwait. History Kuwait University (KU), (in Arabic: جامعة الكويت), was established in October 1966 under Act N. 29 ...

Quaid-i-Azam University Quaid-i-Azam University Islamabad ( ur, ; commonly referred to as QAU), founded as University of Islamabad, is a ranked 1 public research university in Islamabad, Pakistan. Founded as the University of Islamabad in 1967, it was initially dedi ...

International Centre for Theoretical Physics The Abdus Salam International Centre for Theoretical Physics (ICTP) is an international research institute for physical and mathematical sciences that operates under a tripartite agreement between the Italian Government, United Nations Educatio ...

Pakistan Navy Engineering College The Pakistan Navy Engineering College (PNEC), ( ur, ) also called PNS Jauhar, is a military college operated by the Pakistan Navy. Located in Karachi, Sindh, Pakistan, it is also a constituent college of the National University of Sciences and ...

National University of Sciences and Technology The National University of Sciences & Technology (NUST) ( ur, , Qaumī Jāmi'ā barā'e Sāins va Ṭaiknālōjī) is a multi-campus public research university having its main campus in Islamabad, Pakistan. The university offers undergraduat ...

* Nankai University * University of Central Punjab He has published research papers in the fields of mathematics, computer science, economics, game theory, engineering, decision theory and social sciences that have been well cited by other researchers. He has contributed to the fields of

fixed point theory In mathematics, a fixed-point theorem is a result saying that a function ''F'' will have at least one fixed point (a point ''x'' for which ''F''(''x'') = ''x''), under some conditions on ''F'' that can be stated in general terms. Some authors cla ...

fuzzy set theory In mathematics, fuzzy sets (a.k.a. uncertain sets) are sets whose elements have degrees of membership. Fuzzy sets were introduced independently by Lotfi A. Zadeh in 1965 as an extension of the classical notion of set. At the same time, defined ...

, order structures, preference modeling and multi-criteria multi-agent decision making. Beg has supervised 12

M.Phil. The Master of Philosophy (MPhil; Latin ' or ') is a postgraduate degree. In the United States, an MPhil typically includes a taught portion and a significant research portion, during which a thesis project is conducted under supervision. An MPhil ...

theses, 7 Ph.D. dissertations, and 10 post doctoral researchers. He is member of the

editorial board The editorial board is a group of experts, usually at a publication, who dictate the tone and direction the publication's editorial policy will take. Mass media At a newspaper, the editorial board usually consists of the editorial page editor, ...

s of * ''Proceeding

Pakistan Academy of Sciences The Pakistan Academy of Sciences ( ur, ) (abbreviated as: PAS), is a learned society of sciences, which described itself as "a repository of the highest scientific talent available in the country." Established in 1953 in Lahore, Punjab, the A ...

'' * ''Journal Function Spaces'' * ''Topological Algebra and its Applications'' * ''Punjab University Journal of Mathematics'' * Military Technical Courier (journal)

Awards and honours

* Distinguished National Professor,

Higher Education Commission (Pakistan) The Higher Education Commission (colloquially known as HEC) is a statutory body formed by the Government of Pakistan which was established in 2002 under the Chairmanship of Atta-ur-Rahman. Its main functions are funding, overseeing, regulatin ...

* Prize, National Book Council of Pakistan, 1986 * Gold Medal,

2008 * Visiting Mathematician / Associate Group Member / Senior Mathematician / Senior Guest Scientist,

Trieste, Italy, 1990–2010 * Academic Roll of Honor from Government College University (Lahore) 1972

Fellowships and memberships

* Fellow of the

* Fellow of the Institute of Mathematics and its Applications * Senior Member London Mathematical Society * Member,

American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...

* Member

European Mathematical Society The European Mathematical Society (EMS) is a European organization dedicated to the development of mathematics in Europe. Its members are different mathematical societies in Europe, academic institutions and individual mathematicians. The current ...

* Chartered Mathematician * Member, European Society for Fuzzy Logic and Technology working group "Intuitionistic Fuzzy Sets: Theory, Applications and Related Topics" * Life member All Pakistan Mathematical Association

Key publications

* 1992. "Fixed points of asymptotically regular multivalued mappings", J. Austral. Math. Soc., (Series-A) 53(3), 313-326. * 1995. "Random extension theorems", J. Math. Anal. Appl., 196(1), 43-52. * 2000. "Fuzzy closed graph fuzzy multi-functions", Fuzzy Sets & Systems, 115(3), 451 – 454. * 2002 "Approximation of random fixed points in normed spaces", Nonlinear Anal.: Theory, Methods & Appl., 51(8), 1363-1372. * 2006. "Iterative procedures for solution of random operator equations in Banach spaces", J. Math. Anal. Appl., 315(1), 181-201. * 2009. "Similarity measures for fuzzy sets", Applied & Comp. Math., 8, 192-202 * 2009. "Fixed point for set valued mappings satisfying an implicit relation in partially ordered metric spaces",Nonlinear Anal.:Theory,Methods & Appl.,71(9), 3699-3704 * 2011. "Numerical representation of product transitive complete fuzzy orderings", Math. & Computer Modelling, 153, 617-623. * 2013. "TOPSIS for hesitant fuzzy linguistic term sets", Int. J. Intelligent Systems, 28, 1162–1171. * 2016. "Incomplete interval valued fuzzy preference relations", Information Sciences, 348, 15–24. * 2018. "Human attitude analysis based on fuzzy soft differential equations with Bonferroni mean", Computational & Applied Math., 37(3), 2632-2647. * 2021. "Fixed point of multivalued contractions by altering distances with application to nonconvex Hammerstein type integral inclusions", Fixed Point Theory, 22(1), 327 – 342. For complete list of publications see.

References

External links

IDEAS/RePEc
{{DEFAULTSORT:Beg, Ismat Fellows of Pakistan Academy of Sciences Fellows of the Institute of Mathematics and its Applications Artificial intelligence researchers 20th-century Pakistani mathematicians 21st-century Pakistani mathematicians Functional analysts Approximation theorists Operator theorists Mathematical economists Scientists from Lahore Members of the Pakistan Philosophical Congress Pakistani people of Kashmiri descent Lahore School of Economics faculty Lahore University of Management Sciences faculty Kuwait University faculty Quaid-i-Azam University faculty Government College University, Lahore faculty University of Bucharest alumni Government College University, Lahore alumni University of the Punjab alumni Punjabi academics Gujrat People from Kharian 1951 births Living people