Random fixed point theorems for a certain class of mappings in banach spaces

Jung, Jin Sup; Cho, Yeol Je; Kang, Shin Min; Lee, Byung-Soo; Thakur, Balwant Singh

doi:10.1023/a:1022483205068

Cited by 3 publications

(2 citation statements)

References 39 publications

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“…Especially, Kumam et al [14][15][16][17][18] proved many random fixed point theorems for multi-valued nonexpansive nonself-mappings satisfying the inwardness condition in Banach spaces (see [19]). Jung et al [13] proved random fixed point theorems for a certain class of mappings in banach spaces. Cho et al [6] proved random Ishikawa iterative sequence with errors for approximating random fixed points.…”

Section: Introductionmentioning

confidence: 99%

Random fixed point theorems for Hardy-Rogers self-random operators with applications to random integral equations

Saipara

Cho

2017

Stochastics

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In this paper, we prove some random fixed point theorems for Hardy-Rogers self-random operators in separable Banach spaces and, as some applications, we show the existence of a solution for random nonlinear integral equations in Banach spaces. Some stochastic versions of deterministic fixed point theorems for Hardy-Rogers self mappings and stochastic integral equations are obtained.2010 Mathematics Subject Classification. 60H25, 47H09, 47H10, 41A50.

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Section: Introductionmentioning

confidence: 99%

Random fixed point theorems for Hardy-Rogers self-random operators with applications to random integral equations

Saipara

Cho

2017

Stochastics

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“…Later, Spacek [1] and Hans [2,3] first proved random fixed point theorems for random contraction mappings in separable complete metric spaces. Moreover, there were many authors who have studied about random fixed point theorems and its application, for instance, in [4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21]. In the sense of another fixed point theorems, there are many mathematicians who studied common fixed point theorems in various mappings and spaces (see in [22,23,24,25,26])…”

Section: Introductionmentioning

confidence: 99%