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EDELSTEIN-SUZUKI-TYPE RESULTS FOR SELF-MAPPINGS IN VARIOUS ABSTRACT SPACES WITH APPLICATION TO FUNCTIONAL EQUATIONS 被引量:1

EDELSTEIN-SUZUKI-TYPE RESULTS FOR SELF-MAPPINGS IN VARIOUS ABSTRACT SPACES WITH APPLICATION TO FUNCTIONAL EQUATIONS
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摘要 The fixed point theory provides a sound basis for studying many problems in pure and applied sciences. In this paper, we use the notions of sequential compactness and completeness to prove Eldeisten-Suzuki-type fixed point results for self-mappings in various abstract spaces. We apply our results to get a bounded solution of a functional equation arising in dynamic programming. The fixed point theory provides a sound basis for studying many problems in pure and applied sciences. In this paper, we use the notions of sequential compactness and completeness to prove Eldeisten-Suzuki-type fixed point results for self-mappings in various abstract spaces. We apply our results to get a bounded solution of a functional equation arising in dynamic programming.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2016年第1期94-110,共17页 数学物理学报(B辑英文版)
基金 supported by Università degli Studi di Palermo,Local University Project R.S.ex 60% supported by MNTRRS-174009
关键词 G-metric space G-cone metric space quasi-metric space fixed point Edel-stein's theorem Suzuki's theorem. G-metric space G-cone metric space quasi-metric space fixed point Edel-stein's theorem Suzuki's theorem.
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  • 1Banach S. Sur les operations dans les ensembles abstraits et leur application aux 6quations int6grales. Fund Math, 1922, 3:133-181.
  • 2Edelstein M. On fixed and periodic points under contractive mappings. J London Math Soc, 1962, 37: 74-79.
  • 3Suzuki T. A new type of fixed point theorem in metric spaces. Nonlinear Anal, 2009, 71:5313-5317.
  • 4Doris D, Kadelburg Z, Radenovi5 S. Edelstein-Suzuki-type fixed point results in metric and abstract metric spaces. Nonlinear Anal, 2012, 75:1927-1932.
  • 5Farajzadeh A P, Amini-Harandi A, Baleanu D. Fixed point theory for generalized contractions in cone metric space. Commun Nonlinear Sci Numer Simul, 2012, 17:708-712.
  • 6Paesano D, Vetro P. Suzuki's type characterizations of completeness for partial metric spaces and fixed points for partially ordered metric spaces. Topology Appl, 2012, 159:911-920.
  • 7Saadati R, Vaezpour S M, Vetro P, Rhoades B E. Fixed point theorems in generalized partially ordered G-metric spaces. Math Comput Modelling, 2010, 52:797-801.
  • 8Mustafa Z, Sims B. A new approach to generalized metric spaces. J Nonlinear Convex Anal, 2006, 7: 289-297.
  • 9Abbas M, Nazir T, Radenovi@ S. Some periodic point results in generalized metric spaces. Appl Math Comput, 2010, 217:4094-4099.
  • 10Mustafa Z, Obiedat H, Awawdeh F. Some of fixed point theorem for mapping on complete G-metric spaces. Fixed Point Theory Appl, 2008, 2008: Article ID 189870, 12 pages.

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