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      FIXED POINTS OF CHATTERJEA TYPE MULTI-VALUED F-CONTRACTIONS ON CLOSED BALL

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      https://www.riss.kr/link?id=A107340662

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      다국어 초록 (Multilingual Abstract)

      We introduce the notions of Chatterjea type multi-valued F-contraction and Chatterjea type multi-valued (α, η, GF )-contraction on closed ball and obtain two new fixed point theorems for such kind of contractions in complete metric spaces. Some comp...

      We introduce the notions of Chatterjea type multi-valued F-contraction and Chatterjea type multi-valued (α, η, GF )-contraction on closed ball and obtain two new fixed point theorems for such kind of contractions in complete metric spaces. Some comparative examples are given to illustrate and to show usefulness of these results among famous fixed point theorems on F-contractions.

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      참고문헌 (Reference)

      1 N. Hussain, "α-admissible mappings and related fixed point theorems" 114 : 1-11, 2013

      2 N. Hussain, "Suzuki-wardowski type fixed point theorems for α-GF-contractions" 18 : 1879-1895, 2014

      3 H. Piri, "Some fixed point theorems concerning F-contraction in complete metric spaces" 210 : 2014

      4 J. Ahmad, "Some New Fixed Point Theorems for Gener-alized Contractions in Complete Metric Spaces" 80 : 2015

      5 V. Berinde, "On the approximation of fixed points of weak contractive mappings" 19 (19): 722-, 2003

      6 D.W. Boyd, "On nonlinear contractions" 20 : 458464-, 1969

      7 SB. Nadler, "Multivalued contraction mappings" 30 : 475-488, 1969

      8 M. Sgroi, "Multi-valued F-contractions and the solution of certain functional and integral equations" 27 (27): 1259-1268, 2013

      9 P. Salimi, "Modified α − ψ -contractive mappings with applica-tions" 151 : 2013

      10 V. Berinde, "Iterative approximation of fixed points" Springer-Verlag 2007

      1 N. Hussain, "α-admissible mappings and related fixed point theorems" 114 : 1-11, 2013

      2 N. Hussain, "Suzuki-wardowski type fixed point theorems for α-GF-contractions" 18 : 1879-1895, 2014

      3 H. Piri, "Some fixed point theorems concerning F-contraction in complete metric spaces" 210 : 2014

      4 J. Ahmad, "Some New Fixed Point Theorems for Gener-alized Contractions in Complete Metric Spaces" 80 : 2015

      5 V. Berinde, "On the approximation of fixed points of weak contractive mappings" 19 (19): 722-, 2003

      6 D.W. Boyd, "On nonlinear contractions" 20 : 458464-, 1969

      7 SB. Nadler, "Multivalued contraction mappings" 30 : 475-488, 1969

      8 M. Sgroi, "Multi-valued F-contractions and the solution of certain functional and integral equations" 27 (27): 1259-1268, 2013

      9 P. Salimi, "Modified α − ψ -contractive mappings with applica-tions" 151 : 2013

      10 V. Berinde, "Iterative approximation of fixed points" Springer-Verlag 2007

      11 NA. Secelean, "Iterated function systems consisting of F-contractions" 227 : 2013

      12 E. Kryeyszig, "Introductory functional analysis with applications" John Wiley & Sons 1989

      13 O. Acar, "Generalized multivalued F-contractions on complete metric spaces" 40 : 1469-1478, 2014

      14 R. Batra, "Fixed points of an F-contraction on metric spaces with a graph" 91 : 1-8, 2014

      15 D. Wardowski, "Fixed point theory of a new type of contractive mappings in complete metric spaces" 94 : 2012

      16 B. Samet, "Fixed point theorems for α − ψ -contractive type map-pings" 75 : 2154-2165, 2012

      17 D. ORegan, "Fixed point theorems for generalized contractions in ordered metric spaces" 341 : 1241-1252, 2008

      18 R.P. Agarwal, "Fixed point theorems for generalized con-tractive maps of Mei-Keeler type" 276 : 3-12, 2004

      19 S.K. Chatterjea, "Fixed point theorems" 25 : 727-730, 1972

      20 M. Cosentino, "Fixed point results for F-contractive mappings of Hardy-Rogers-Type" 28 (28): 715-722, 2014

      21 M. Arshad, "Fixed point of a pair of contractive dominated map-pings on a closed ball in an ordered complete dislocated metric space" 115 : 2013

      22 M. Abbas, "Fixed and periodic points of generalized contrac-tions in metric spaces" 243 : 2013

      23 A. Augustynowicz, "Existence and uniqueness of solutions for partial differential-functional equations of the first order with deviating argument of the derivative of un-known function" 23 : 203-210, 1997

      24 M. Arshad, "Common fixed points of a pair of Hardy Rogers type mappings on a closed ball in ordered dislocated metric spaces" 2013 : 638181-, 2013

      25 G. Minak, "Ciric type generalized F−contractions on complete metric spaces and fixed point results" 28 (28): 1143-1151, 2014

      26 B.S. Choudhury, "A new multivalued contraction and stability of its fixed point sets" 23 : 321-325, 2015

      27 Lj.B. Ciric, "A generalization of Banachs contraction principle" 45 : 267273-, 1974

      28 R. Batra, "A coincidence point theorem for F-contractions on metric spaces equipped with an altered distance" 4 (4): 826-833, 2014

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