Fixed point results and an application to homotopy in modular metric spaces


Authors

Meltem Erden Ege - Department of Mathematics, Institute of Natural and Applied Sciences, Celal Bayar University, Muradiye Campus 45140, Manisa, Turkey. Cihangir Alaca - Department of Mathematics, Faculty of Science and Arts, Celal Bayar University, 45140 Manisa, Turkey.


Abstract

The purpose of this paper is to define new concepts, such as T-orbitally w-completeness, orbitally w-continuity and almost weakly w-contractive mapping in the modular metric spaces. We prove some fixed point theorems for these related concepts and mappings in this space. Further, we give an application using the technique in [Lj. B. Ćirić, B. Samet, H. Aydi, C. Vetro, Appl. Math. Comput., 218 (2011), 2398-2406] and show that our results can be applied to homotopy.


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ISRP Style

Meltem Erden Ege, Cihangir Alaca, Fixed point results and an application to homotopy in modular metric spaces, Journal of Nonlinear Sciences and Applications, 8 (2015), no. 6, 900--908

AMA Style

Ege Meltem Erden, Alaca Cihangir, Fixed point results and an application to homotopy in modular metric spaces. J. Nonlinear Sci. Appl. (2015); 8(6):900--908

Chicago/Turabian Style

Ege, Meltem Erden, Alaca, Cihangir. "Fixed point results and an application to homotopy in modular metric spaces." Journal of Nonlinear Sciences and Applications, 8, no. 6 (2015): 900--908


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