A fixed point theorem for set valued mappings

Markin, J.T.

doi:10.1090/s0002-9904-1968-11971-8

Cited by 118 publications

(61 citation statements)

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“…Some results in this paper were presented to the American Mathematical Society on November 18, 1967; an abstract of that talk may be found in [18]. A slightly different version of Theorem 5 below was announced later in [15].…”

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confidence: 97%

Multi-valued contraction mappings

Nadler¹

1969

Pacific J. Math.

1,900

1,098

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confidence: 97%

Multi-valued contraction mappings

Nadler¹

1969

Pacific J. Math.

1,900

1,098

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“…Later, in 1968,1969Markin (Markin, J.T.,1968 and Nadler (Nadler, S.B.,1969) independently studied the fixed point of multi-valued contraction mapping.…”

Section: (Z 1 ) D(t X T Y) ≤ Ad(x Y) (Z 2 ) D(t X T Y) ≤ B[d(x T mentioning

confidence: 99%

Fixed Point Theorems of Multi-Valued Zamfirescu Mapping

Neammanee¹,

Kaewkhao²

2010

JMR

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“…Recall that the first attempts was carried by Markin [16] in Hilbert spaces, by Browder [5] in spaces having a weakly continuous duality mapping, and by Lami Dozo [14] in spaces satisfying the weak Opial condition. For a nice survey on multivalued mappings, we recommend the paper by Benavides and Ramírez [4].…”

Section: Introductionmentioning

confidence: 99%