tailieunhanh - Báo cáo hóa học: " FIXED POINT THEOREMS FOR A FAMILY OF HYBRID PAIRS OF MAPPINGS IN METRICALLY CONVEX SPACES"

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: FIXED POINT THEOREMS FOR A FAMILY OF HYBRID PAIRS OF MAPPINGS IN METRICALLY CONVEX SPACES | FIXED POINT THEOREMS FOR A FAMILY OF HYBRID PAIRS OF MAPPINGS IN METRICALLY CONVEX SPACES M. IMDAD AND LADLAY KHAN Received 30 December 2004 and in revised form 24 March 2005 The present paper establishes some coincidence and common fixed point theorems for a sequence of hybrid-type nonself-mappings defined on a closed subset of a metrically convex metric space. Our results generalize some earlier results due to Khan et al. 2000 Itoh 1977 Khan 1981 Ahmad and Imdad 1992 and 1998 and several others. Some related results are also discussed. 1. Introduction In recent years several fixed point theorems for hybrid pairs of mappings are proved and by now there exists considerable literature in this direction. To mention a few one can cite Imdad and Ahmad 10 Pathak 19 Popa 20 and references cited therein. On the other hand Assad and Kirk 4 gave a sufficient condition enunciating fixed point of set-valued mappings enjoying specific boundary condition in metrically convex metric spaces. In the current years the work due to Assad and Kirk 4 has inspired extensive activities which includes Itoh 12 Khan 14 Ahmad and Imdad 1 2 Imdad et al. 11 and some others. Most recently Huang and Cho 9 and Dhage et al. 6 proved some fixed point theorems for a sequence of set-valued mappings which generalize several results due to Itoh 12 Khan 14 Ahmad and Khan 3 and others. The purpose of this paper is to prove some coincidence and common fixed point theorems for a sequence of hybrid type nonself mappings satisfying certain contraction type condition which is essentially patterned after Khan et al. 15 . Our results either partially or completely generalize earlier results due to Khan et al. 15 Itoh 12 Khan 14 Ahmad and Imdad 1 2 Ahmad and Khan 3 and several others. 2. Preliminaries Before proving our results we collect the relevant definitions and results for our future use. Copyright 2005 Hindawi Publishing Corporation Fixed Point Theory and Applications 2005 3 2005 281-294 DOI .

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