A New Approach to the Solution of Non-Linear Integral Equations via Various FBe-Contractions
Department of Mathematics, Basic Sciences and Humanities, GMR Institute of Technology, Rajam 532127, Andhra Pradesh, India
College of Computer and Information Sciences, Majmaah University, Majmaah 11952, Saudi Arabia
Department of Mathematics, Texas A&M University-Kingsville, Kingsville, TX 78363, USA
Distinguished University Professor of Mathematics, Florida Institute of Technology, Melbourne, FL 32901, USA
Authors to whom correspondence should be addressed.
Received: 8 January 2019 / Revised: 23 January 2019 / Accepted: 28 January 2019 / Published: 12 February 2019
In this article, we introduce and establish various approaches related to the F
-contraction using new sorts of contractions, namely the extended
-contraction, the extended
-expanding contraction, and the extended generalized
-contraction. Thereafter, we propose a simple and efficient solution for non-linear integral equations using the fixed point technique in the setting of a
-metric space. Moreover, to address conceptual depth within this approach, we supply illustrative examples where necessary.
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MDPI and ACS Style
Panda, S.K.; Tassaddiq, A.; Agarwal, R.P. A New Approach to the Solution of Non-Linear Integral Equations via Various FBe-Contractions. Symmetry 2019, 11, 206.
Panda SK, Tassaddiq A, Agarwal RP. A New Approach to the Solution of Non-Linear Integral Equations via Various FBe-Contractions. Symmetry. 2019; 11(2):206.
Panda, Sumati K.; Tassaddiq, Asifa; Agarwal, Ravi P. 2019. "A New Approach to the Solution of Non-Linear Integral Equations via Various FBe-Contractions." Symmetry 11, no. 2: 206.
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