Common Fixed Point for Two Multivalued Mappings on Proximinal Sets in Regular Modular Space
نویسندگان
چکیده
منابع مشابه
Fixed-Point Theorems for Multivalued Mappings in Modular Metric Spaces
and Applied Analysis 3 iv A subsetC ofXω is said to be closed if the limit of a convergent sequence ofC always belongs to C. v A subset C of Xω is said to be bounded if, for all λ > 0, φλ C sup{ωλ x, y : x, y ∈ C} < ∞. Along this paper, we will use the following alternative notions of convergence and Cauchyness, which are equivalent to the notions given above. Let Xω be a modular metric space a...
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Recently, Zhang and Song [Q. Zhang, Y. Song, Fixed point theory forgeneralized $varphi$-weak contractions,Appl. Math. Lett. 22(2009) 75-78] proved a common fixed point theorem for two mapssatisfying generalized $varphi$-weak contractions. In this paper, we prove a common fixed point theorem fora family of compatible maps. In fact, a new generalization of Zhangand Song's theorem is given.
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Abstract In this paper, fixed point and coincidence results are presented for multivalued generalized φ-weak contractive mappings on complete metric spaces, where φ : [0, +∞) −→ [0, +∞) is a lower semicontinuous function with φ(0) = 0 and φ(t) > 0 for all t > 0. Our results extend previous results by Zhang and Song (2009), as well as by Rhoades (2001), Nadler (1969), and Daffer and Kaneko (1995).
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ژورنال
عنوان ژورنال: Pure and Applied Mathematics Journal
سال: 2020
ISSN: 2326-9790
DOI: 10.11648/j.pamj.20200904.12