A note on tvs-cone metric fixed point theory
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2011
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In this paper, the concept of set-valued contraction of Nadler type in the setting of tvscone spaces was introduced and a fixed point theorem in the setting of tvs-cone spaces with respect to a solid cone was proved. Obtained results extend and generalize the main results of [S.B. Nadler Jr., Multi-valued contraction mappings, Pacific Journal of Mathematics 30 (1969) 475–488] and [D. Wardowski, On set-valued contractions of Nadler type in cone metric spaces, Applied Mathematics Letters 24 (2011) 275–278]. Two examples are given to illustrate the usability of the results.
Кључне речи:
Tvs-cone metric / Tvs-cone metric space / Fixed point / Nadler’s fixed point theorem / Locally convex spaceИзвор:
Mathematical and Computer Modelling, 2011, 54, 9-10, 2418-2422Колекције
Институција/група
Mašinski fakultetTY - JOUR AU - Radenović, Stojan AU - Simić, Suzana AU - Cakić, Nenad AU - Golubović, Zorana PY - 2011 UR - https://machinery.mas.bg.ac.rs/handle/123456789/7142 AB - In this paper, the concept of set-valued contraction of Nadler type in the setting of tvscone spaces was introduced and a fixed point theorem in the setting of tvs-cone spaces with respect to a solid cone was proved. Obtained results extend and generalize the main results of [S.B. Nadler Jr., Multi-valued contraction mappings, Pacific Journal of Mathematics 30 (1969) 475–488] and [D. Wardowski, On set-valued contractions of Nadler type in cone metric spaces, Applied Mathematics Letters 24 (2011) 275–278]. Two examples are given to illustrate the usability of the results. T2 - Mathematical and Computer Modelling T1 - A note on tvs-cone metric fixed point theory EP - 2422 IS - 9-10 SP - 2418 VL - 54 DO - 10.1016/j.mcm.2011.05.051 ER -
@article{ author = "Radenović, Stojan and Simić, Suzana and Cakić, Nenad and Golubović, Zorana", year = "2011", abstract = "In this paper, the concept of set-valued contraction of Nadler type in the setting of tvscone spaces was introduced and a fixed point theorem in the setting of tvs-cone spaces with respect to a solid cone was proved. Obtained results extend and generalize the main results of [S.B. Nadler Jr., Multi-valued contraction mappings, Pacific Journal of Mathematics 30 (1969) 475–488] and [D. Wardowski, On set-valued contractions of Nadler type in cone metric spaces, Applied Mathematics Letters 24 (2011) 275–278]. Two examples are given to illustrate the usability of the results.", journal = "Mathematical and Computer Modelling", title = "A note on tvs-cone metric fixed point theory", pages = "2422-2418", number = "9-10", volume = "54", doi = "10.1016/j.mcm.2011.05.051" }
Radenović, S., Simić, S., Cakić, N.,& Golubović, Z.. (2011). A note on tvs-cone metric fixed point theory. in Mathematical and Computer Modelling, 54(9-10), 2418-2422. https://doi.org/10.1016/j.mcm.2011.05.051
Radenović S, Simić S, Cakić N, Golubović Z. A note on tvs-cone metric fixed point theory. in Mathematical and Computer Modelling. 2011;54(9-10):2418-2422. doi:10.1016/j.mcm.2011.05.051 .
Radenović, Stojan, Simić, Suzana, Cakić, Nenad, Golubović, Zorana, "A note on tvs-cone metric fixed point theory" in Mathematical and Computer Modelling, 54, no. 9-10 (2011):2418-2422, https://doi.org/10.1016/j.mcm.2011.05.051 . .