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This paper is concerned with best proximity points for multimaps in normed spaces and in hyperconvex metric spaces. Using the generalized KKM theorem, we deduce new best proximity pair theorems for a family of multimaps with unionly open fibers in normed spaces. And we prove a new best proximity point theorem for quasi-lower semicontinuous multimaps in hyperconvex metric spaces.
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참고문헌 (15)
참고문헌 신청
N. Aronszajn / 1956 / Extension of uniformly continuous transformations and hyperconvex metric spaces / Pacific J. Math 6(3):405~439
S. Sadiq Basha / 2000 / Best proximity pair theorems for multifuctions with open fibres / J. Approx. Theory 103(1):119~129
R. Espınola / 2001 / Handbook of Metric Fixed Point Theory / Kluwer Academic Publishers :391~435
R. Espınola / 2000 / Nonexpansive retractions in hyperconvex spaces / J. Math. Anal. Appl 251(2):557~570
C. D. Horvath / 1993 / Extension and selection theorems in topological spaces with a generalized convexity structure / Ann. Fac. Sci. Toulouse Math 2(2):253~269
S. Sadiq Basha / 2000 / Best proximity pair theorems for multifuctions with open fibres / J. Approx. Theory 103(1):119~129
R. Espınola / 2001 / Handbook of Metric Fixed Point Theory / Kluwer Academic Publishers :391~435
R. Espınola / 2000 / Nonexpansive retractions in hyperconvex spaces / J. Math. Anal. Appl 251(2):557~570
C. D. Horvath / 1993 / Extension and selection theorems in topological spaces with a generalized convexity structure / Ann. Fac. Sci. Toulouse Math 2(2):253~269
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