논문KCI 등재
Some New Applications of S-metric Spaces by Weakly Compatible Pairs with a Limit Property
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In this note we use a generalization of coincidence point(a property which was defined by [1] in symmetric spaces) to prove common fixed point theorem on S-metric spaces for weakly compatible maps. Also the results are used to achieve the solution of an integral equation and the bounded solution of a functional equation in dynamic programming.
Abstract
In this note we use a generalization of coincidence point(a property which was defined by [1] in symmetric spaces) to prove common fixed point theorem on S-metric spaces for weakly compatible maps. Also the results are used to achieve the solution of an integral equation and the bounded solution of a functional equation in dynamic programming.
참고문헌 (10)
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- R. Bellman, "Functional equations in dynamic programming", Aequ. Math, 17, pp.1~18 (1978)
- BC. Dhage, "Generalized metric space and mapping with fixed point", Bull. Calcutta Math. Soc., 84, pp.329~336 (1992)
- S. Manro, "A common fixed point theorem for two weakly compatible pairs in G-metric spaces using the property E.A.", Fixed Point Theory Appl, 2013, pp.41~ (2013)
- J. Matkowski, "Fixed point theorems for mappings with a contractive iterate at a point", Proc. Am. Math. Soc., 62, pp.344~348 (1977)
- J. Mojaradi Afra, "Fixed point type theorem in S-metric spaces", Theory of Approxima-tion and App., 10(2), pp.33~41 (2016)
- Z. Mustafa, "A new approach to generalized metric spaces", J. Nonlinear Convex Anal., 7, pp.289~297 (2006)
- S. Sedghi, "Fixed point theorems on S-metric spaces", Mat. Vesnik., 66, pp.113~124 (2014)
- S. Sedghi, "A generalization of fixed point theorem in S-metric spaces", Mat. Vesnik, 64, pp.258~266 (2012)
관련 논문AI추천
Common Fixed Point Theorems for Compatible Mappings of Type (A) and (P) with Applications in Dynamic Programming강신민, 이석진, Guojing Jiang, Min Liu영남수학회 · East Asian Mathematical Journal2009 · 제25권 제1호A Common fixed point theorem on ordered partial S-metric spaces and applicationsIshak Altun, Nabi Shobkolaei, Sahaban Sedghi, Sima Soursouri강원경기수학회 · 한국수학논문집2020 · 제28권 제2호Common fixed point theorems for contractive type mappings and their applications in dynamic programming강신민, Hyeong Kug Kim, Lili Wang, Zeqing Liu대한수학회 · 대한수학회보2008 · 제45권 제3호Common fixed point theorems with applications to the solutions of functional equations arising in dynamic programming강신민, Hyeong Kug Kim, Min Liu, Zeqing Liu대한수학회 · 대한수학회논문집2009 · 제24권 제1호Some Properties of S-metric Spaces and Fixed Point ResultsIshak Altun, Mohammad Ali Salahshour, Nabi Shobe, Shaban Sedghi경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제1호SOME FIXED POINT THEOREMS VIA COMMON LIMIT RANGE PROPERTY IN NON-ARCHIMEDEAN MENGER PROBABILISTIC METRIC SPACESHemant Kumar Nashine, Zoran Kadelburg대한수학회 · 대한수학회보2015 · 제52권 제3호
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