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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 경남대학교 기초과학연구소 Nonlinear Functional Analysis and Applications Nonlinear Functional Analysis and Applications Vol.24 No.1
- 발행연도
- 2019.1
- 수록면
- 155 - 174 (20page)
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In the present work, we introduce the new concept of a generalization of Ger- aghty type F-Berinde contraction mappings and establish certain existence results for such mappings. Some examples will embellish the results, for the same computer simulation is done. Our examples involve a series of complicated structured functions which cannot be treated by classical fixed point methods. Our findings extend, unify and enrich a multitude results in the existing literature. As an application, we apply our abstract results to establish the existence of solution of differential equations of first and second order to exhibit the po- tency and viability of our results. At the end, as an open problem, we suggest storekeeper’s control problem in terms of Volterra integral equation whose solution may be procured from the established results.
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참고문헌 (15)
참고문헌 신청
I. Altun / 2013 / Generalized Geraghty type mappings on partial metric spaces and fixed point results / Arab. J. Math 2(3):247~253
S. Banach / 1922 / Sur les op´erations dans les ensembles abstraits et leur application aux ´equations int´egrales / Fund. Math 3(1):133~181
V. Berinde / 2003 / Approximating fixed points of weak φ-contractions using the Picard iteration / Fixed Point Theory 4(2):131~147
V. Berinde / 2004 / Approximating fixed points of weak contractions using the Picard iteration / Fixed Point Theory 9(1):43~53
V. Berinde / 2008 / Fixed points and continuity of almost contractions / Fixed Point Theory 9(1):23~34
S. Banach / 1922 / Sur les op´erations dans les ensembles abstraits et leur application aux ´equations int´egrales / Fund. Math 3(1):133~181
V. Berinde / 2003 / Approximating fixed points of weak φ-contractions using the Picard iteration / Fixed Point Theory 4(2):131~147
V. Berinde / 2004 / Approximating fixed points of weak contractions using the Picard iteration / Fixed Point Theory 9(1):43~53
V. Berinde / 2008 / Fixed points and continuity of almost contractions / Fixed Point Theory 9(1):23~34
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